Physical Chemistry for IIT JEE

Atul Singha

Chapter 9

Solutions and Colligative Properties - all with Video Answers

Educators

VS

Chapter Questions

Problem 1

For which case would $\Delta \mathrm{H}_{\text {sol }}$ be expected to be negative?
(a) If solute-solvent interactions are the same as solvent-solvent and solute-solute interactions
(b) If solute-solvent interactions are much greater than solvent-solvent and solute-solute interactions
(c) If solute-solute interactions are much greater than solvent-solvent and solute-solvent interactions
(d) If solvent-solvent interactions are much greater than solute-solvent and solute-solute interactions

Narayan Hari

Narayan Hari

Numerade Educator

Problem 2

A liquid is in equilibrium with its vapour at its boiling point. On the average, the molecules in the two phase have equal
(a) intermolecular forces
(b) potential energy
(c) temperature
(d) kinetic energy

Raghvendra Singh

Raghvendra Singh

Numerade Educator

Problem 3

A molal solution is one that contains one mole of a solute in
(a) $1000 \mathrm{~g}$ of the solvent
(b) one litre of solvent
(c) one litre of solution
(d) $22.4$ litre of the solution

Raghvendra Singh

Raghvendra Singh

Numerade Educator

Problem 4

Osmotic pressure of a solution is $0.0821$ atm at a temperature of $300 \mathrm{~K}$. The concentration in mole/ lit will be
(a) $0.33$
(b) $0.066$
(c) $0.3 \times 10^{-2}$
(d) 3

Narayan Hari

Numerade Educator

Problem 5

When mercuric iodide is added to the aqueous solution of potassium iodide, the
(a) freezing point is raised
(b) freezing point does not change
(c) freezing point is lowered
(d) boiling point does not change

Mahendra Rathore

Mahendra Rathore

Numerade Educator

Problem 6

A sugar syrup of weight $214.2 \mathrm{~g}$ contains $34.2 \mathrm{~g}$ of water. The molal concentration is
(a) $0.55$
(b) $5.5$
(c) 55
(d) $0.1$

Narayan Hari

Numerade Educator

Problem 7

The depression in f.p. of $0.01 \mathrm{~m}$ aqueous solution of urea, sodium chloride and sodium sulphate is in the ratio
(a) $1: 1: 1$
(b) $1: 2: 3$
(c) $1: 2: 4$
(d) $2: 2: 3$

Narayan Hari

Numerade Educator

Problem 8

The freezing point of equimolal aqueous solution will be highest for
(a) $\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{~N}^{+} \mathrm{H}_{3} \mathrm{Cl}^{-}$(aniline hydrochloride)
(b) $\mathrm{Ca}\left(\mathrm{NO}_{3}\right)_{2}$
(c) $\mathrm{La}\left(\mathrm{NO}_{3}\right)_{3}$
(d) $\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}$ (Glucose)

Mahendra Rathore

Mahendra Rathore

Numerade Educator

Problem 9

The molal elevation constant of water is $0.51$. The boiling point of $0.1$ molal aqueous $\mathrm{NaCl}$ solution is nearly
(a) $100.05^{\circ} \mathrm{C}$
(b) $100.1^{\circ} \mathrm{C}$
(c) $100.2^{\circ}$
(d) $101.0 \mathrm{C}$

Mahendra Rathore

Mahendra Rathore

Numerade Educator

Problem 10

Which of the following solutions will have the lowest freezing point?
(a) $0.0100 \mathrm{~m} \mathrm{Li}_{2} \mathrm{SO}_{4}$
(b) $0.015 \mathrm{~m} \mathrm{CaCl}_{2}$
(c) $0.0100 \mathrm{~m} \mathrm{KCl}$
(d) $0.035 \mathrm{~m} \mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{OH}$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 11

Total vapour pressure of mixture of $1 \mathrm{~mol} \mathrm{X}\left(\mathrm{P}_{\mathrm{x}}^{\circ}=\right.$ 145 torr) and 2 mol $\mathrm{Y}\left(\mathrm{P}_{\mathrm{Y}}^{\circ}=245\right.$ torr $)$ is 200 torr. In this case:
(a) There is a negative deviation from Raoult's law
(b) There is a positive deviation from Raoult's law
(c) There is no deviation from Raoult's law
(d) Cannot be decided

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 12

On freezing an aqueous solution of sodium chloride, the solid that starts separating out is
(a) ice
(b) sodium chloride
(c) solution
(d) none of these

Narayan Hari

Numerade Educator

Problem 13

How many moles of $\mathrm{Fe}^{2+}$ ions are formed when excess iron is treated with $500 \mathrm{~mL}$ of $0.4 \mathrm{~N} \mathrm{HCl}$ under inert atmosphere? Assume no change in volume.
(a) $0.4$
(b) $0.1$
(c) $0.2$
(d) $0.8$

Narayan Hari

Numerade Educator

Problem 14

The vapour pressure of a solution of $5 \mathrm{~g}$ of non electrolyte in $100 \mathrm{~g}$ of water at a particular temperature is $2985 \mathrm{Nm}^{-2}$. The vapour pressure of pure water at that temperature is $3000 \mathrm{Nm}^{-2}$. The molecular weight of the solute is
(a) 180
(b) 90
(c) 270
(d) 360

Mahendra Rathore

Mahendra Rathore

Numerade Educator

Problem 15

A solution obtained by dissolving $0.2$ gm of solute in $100 \mathrm{~cm}^{3}$ of solution in benzene at $21^{\circ} \mathrm{C}$ develops a rise of $2.4 \mathrm{~mm}$ osmotic equilibrium. Find molarity and molality in the solution (If density of solution is $0.88 \mathrm{gm} / \mathrm{cm}^{3}$ ).
(a) $8.3 \times 10^{-3} \mathrm{~mol} / \mathrm{L}$
(b) $4.15 \times 10^{-6} \mathrm{~mol} / \mathrm{L}$
(c) $8.3 \times 10^{-4}$
(d) none

Narayan Hari

Numerade Educator

Problem 16

An aqueous solution containing $1 \mathrm{gm}$ of urea boils at $100.25^{\circ} \mathrm{C}$. The aqueous solution containing $3 \mathrm{gm}$ of glucose in the same volume will boil at
(a) $100.75^{\circ} \mathrm{C}$
(b) $100.5^{\circ} \mathrm{C}$
(c) $100^{\circ} \mathrm{C}$
(d) $100.25^{\circ} \mathrm{C}$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 17

Increasing the temperature of an aqueous solution will cause
(a) decrease in molality
(b) decrease in molarity
(c) decrease in mole fraction
(d) decrease in \% (w/w).

Raghvendra Singh

Raghvendra Singh

Numerade Educator

Problem 18

Lowering of vapour pressure, $\Delta \mathrm{p}$; elevation in boiling point $\Delta \mathrm{T}_{\mathrm{b}}$; and depression freezing point $\Delta \mathrm{T}_{\mathrm{f}}$ of a solvent for the same molar concentration of each of the three solutes: (A) sugar, (B) $\mathrm{NaCl}$ and $(\mathrm{C})$ $\mathrm{BaCl}_{2}$ following the sequence
(a) $\Delta \mathrm{T}_{\mathrm{b}}: \mathrm{C}>\mathrm{B}>\mathrm{A}$
(b) $\Delta \mathrm{T}_{\mathrm{f}}: \mathrm{A}<\mathrm{B}<\mathrm{C}$
(c) $\Delta p: A<B<C$
(d) All the above

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 19

The molecular weight of benzoic acid in benzene as determined by depression in freezing point method corresponds to
(a) ionization of benzoic acid
(b) dimerization of benzoic acid
(c) trimerization of benzoic acid
(d) solvation of benzoic acid

Raghvendra Singh

Raghvendra Singh

Numerade Educator

Problem 20

The osmotic pressure of a solution containing $4.0 \mathrm{~g}$ of solute (molar mass 246) per litre at $27^{\circ} \mathrm{C}$ is $(\mathrm{R}=$ $\left.0.082 \mathrm{~L} \mathrm{~atm} \mathrm{~K}-{ }^{1} \mathrm{~mol}-^{1}\right)$
(a) $0.1 \mathrm{~atm}$
(b) $0.3 \mathrm{~atm}$
(c) $0.4 \mathrm{~atm}$
(d) $0.9 \mathrm{~atm}$

Mahendra Rathore

Mahendra Rathore

Numerade Educator

Problem 21

The vapour pressure of a solvent $\mathrm{A}$ is $0.80 \mathrm{~atm}$. When a non-volatile substance $\mathrm{B}$ is added to this solvent, its vapour pressure drops to $0.6$ atm. The mole fraction of B in the solution is
(a) $0.50$
(b) $0.25$
(c) $0.75$
(d) $0.95$

Narayan Hari

Numerade Educator

Problem 22

People add sodium chloride to water while boiling eggs. This is to
(a) decrease the boiling point
(b) increase the boiling point
(c) prevent breaking of eggs
(d) make eggs tasty

Raghvendra Singh

Raghvendra Singh

Numerade Educator

Problem 23

Which of the following pairs of solutions have roughly the same boiling point elevation?
(a) $0.100 \mathrm{~m} \mathrm{KCl}$ and $0.0500 \mathrm{~m} \mathrm{MgBr}^{2}$
(b) $0.200 \mathrm{~m} \mathrm{NaCl}$ and $0.300 \mathrm{~m} \mathrm{Na}^{2} \mathrm{SO}^{4}$
(c) $0.100 \mathrm{~m} \mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}$ and $0.0333 \mathrm{~m} \mathrm{CuCl}_{2}$
(d) $0.100 \mathrm{~m} \mathrm{NaCl}$ and $0.100 \mathrm{~m} \mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 24

A solution of 1 molal concentration of a solute will have maximum boiling point elevation when the solvent is
(a) Chloroform
(b) Benzene
(c) Ethyl alcohol
(d) Acetone

Narayan Hari

Numerade Educator

Problem 25

The depression in freezing point for $1 \mathrm{M}$ urea, $1 \mathrm{M}$ glucose and $1 \mathrm{M} \mathrm{NaCl}$ are in the ratio
(a) $1: 2: 3$
(b) $1: 1: 2$
(c) $3: 2: 1$
(d) $1: 2: 1$

Narayan Hari

Numerade Educator

Problem 26

The beans are cooked earlier in pressure cooker, because
(a) boiling point increase with increasing pressure
(b) boiling point decrease with increasing pressure
(c) extra pressure of pressure cooker, softens the beans
(d) internal energy is not lost while cooking in pressure cooker.

Narayan Hari

Numerade Educator

Problem 27

$20 \mathrm{~g}$ of a substance were dissolved in $500 \mathrm{~mL}$ of water and the osmotic pressure of the solution was found to be $600 \mathrm{~mm}$ of mercury at $15^{\circ} \mathrm{C}$. The molecular weight of substance is
(a) 998
(b) 1028
(c) 1098
(d) 1198

Hast Aggarwal

Numerade Educator

Problem 28

If $0.44 \mathrm{~g}$ of substance dissolved in $22.2 \mathrm{~g}$ of benzene lowers the freezing point of benzene by $0.567^{\circ} \mathrm{C}$, then the molecular mass of substance is, (the molal depression constant $=5.12^{\circ} \mathrm{C} \mathrm{mol}^{-1} \mathrm{~kg}$ )
(a) $128.4$
(b) $156.6$
(c) $178.9$
(d) $232.4$

Hast Aggarwal

Numerade Educator

Problem 29

How much of $\mathrm{NaOH}$ is required to neutralize 1500 $\mathrm{cm}^{3}$ of $0.1 \mathrm{~N} \mathrm{HCl} ?(\mathrm{Na}=23)$
(a) $4 \mathrm{~g}$
(b) $6 \mathrm{~g}$
(c) $40 \mathrm{~g}$
(d) $60 \mathrm{~g}$

Narayan Hari

Numerade Educator

Problem 30

The volume of water to be added to $100 \mathrm{~cm}^{3}$ of $0.5$ $\mathrm{N} \mathrm{H}_{2} \mathrm{SO}_{4}$ to get decinormal concentration is
(a) $100 \mathrm{~cm}^{3}$
(b) $200 \mathrm{~cm}^{3}$
(c) $400 \mathrm{~cm}^{3}$
(d) $450 \mathrm{~cm}^{3}$

Narayan Hari

Numerade Educator

Problem 31

At a particular temperature, the vapour pressures of the two liquids A and B are respectively 120 and $180 \mathrm{~mm}$ of mercury. If 2 moles of $\mathrm{A}$ and 3 moles of B are mixed to form an ideal solution, the vapour pressure of solution at the same temperature will be (in mm of mercury)
(a) 46
(b) 156
(c) 146
(d) 106

Narayan Hari

Numerade Educator

Problem 32

The vapour pressure of water at room temperature is lowered by $7 \%$ by dissolving a solute in it. The approximate molality of the solution is
(a) $4.08$
(b) $2.09$
(c) $3.18$
(d) $4.18$

Narayan Hari

Numerade Educator

Problem 33

Which solution has the least vapour pressure?
(a) $0.01 \mathrm{M} \mathrm{MgCl}_{2}$
(b) $0.01 \mathrm{M}$ Sucrose
(c) $0.01 \mathrm{M} \mathrm{K}_{2} \mathrm{SO}_{4}$
(d) $0.01 \mathrm{M} \mathrm{Na}_{3} \mathrm{PO}_{4}$

Narayan Hari

Numerade Educator

Problem 34

The aqueous solution that has the lowest vapour pressure at a given temperature is
(a) $0.1$ molal acetic acid
(b) $0.1$ molal glucose
(c) $0.1$ molal sodium phosphate
(d) $0.1$ molal sodium chloride

Narayan Hari

Numerade Educator

Problem 35

By dissolving $10 \mathrm{~g}$ of a non-volatile solute in 100 $\mathrm{g}$ of benzene, the boiling point rises by $1^{\circ} \mathrm{C}$. The molecular mass of solute is $[\mathrm{Kb}$ for benzene $=2.53$ $\left.\mathrm{K} \mathrm{m}^{-1}\right]$
(a) $235 \mathrm{~g}$
(b) $352 \mathrm{~g}$
(c) $250 \mathrm{~g}$
(d) $253 \mathrm{~g}$

Hunza Gilgit

Numerade Educator

Problem 36

In a mixture of $\mathrm{A}$ and $\mathrm{B}$, components show negative deviation when
(a) $\mathrm{A}-\mathrm{B}$ interaction is stronger than $\mathrm{A}-\mathrm{A}$ and B - B interaction
(b) $\mathrm{A}-\mathrm{B}$ interaction is weaker than $\mathrm{A}-\mathrm{A}$ and B - B interaction
(c) $\Delta \mathrm{V} \operatorname{mix}>0, \Delta \mathrm{S} \operatorname{mix}>0$
(d) $\Delta \mathrm{V} \operatorname{mix}=0, \Delta \mathrm{S} \operatorname{mix}>0$

Narayan Hari

Numerade Educator

Problem 37

For an aqueous solution, freezing point is $0.186^{\circ} \mathrm{C}$. Elevation of the boiling point of the same solution is $\left(\mathrm{K}_{\mathrm{f}}=1.86^{\circ} \mathrm{mol}^{-1} \mathrm{~kg}\right.$ and $\left.\mathrm{K}_{\mathrm{b}}=0.512^{\circ} \mathrm{mol}^{-1} \mathrm{~kg}\right)$
(a) $0.186^{\circ}$
(b) $0.0512^{\circ}$
(c) $1.86^{\circ}$
(d) $5.12^{\circ}$

Narayan Hari

Numerade Educator

Problem 38

A solute is soluble in two immiscible liquids which are present in a mixture. The concentration of the solute in the upper layer will be
(a) More than in the lower layer
(b) In fixed ratio with that in the lower layer
(c) Same as in the lower layer
(d) Less than in the lower layer

Narayan Hari

Numerade Educator

Problem 39

In a $0.2$ molal aqueous solution of a weak acid HX, the degree of ionization is $0.3$. Taking $\mathrm{K}_{\mathrm{f}}$ for water as $1.85$, the freezing point of the solution will be nearest to
(a) $-0.480^{\circ} \mathrm{C}$
(b) $-0.360^{\circ} \mathrm{C}$
(c) $-0.260^{\circ} \mathrm{C}$
(d) $+0.480^{\circ} \mathrm{C}$

Narayan Hari

Numerade Educator

Problem 40

Formation of a solution from two components can be considered as:
(1) Pure solvent $\rightarrow$ separated solvent molecules, $\Delta \mathrm{H}_{1}$
(2) Pure solute $\rightarrow$ separated solute molecules, $\Delta \mathrm{H}_{2}$
(3) Separated solvent and solute molecules $\rightarrow$ solution, $\Delta \mathrm{H}_{3}$ Solution so formed will be ideal if:
(a) $\Delta \mathrm{H}_{\text {solution }}=\Delta \mathrm{H}_{3}-\Delta \mathrm{H}_{1}-\Delta \mathrm{H}_{2}$
(b) $\Delta \mathrm{H}_{\text {solation }}=\Delta \mathrm{H}_{1}-\Delta \mathrm{H}_{2}-\Delta \mathrm{H}_{3}$
(c) $\Delta \mathrm{H}_{\text {solttico }}=\Delta \mathrm{H}_{1}+\Delta \mathrm{H}_{2}-\Delta \mathrm{H}_{3}$
(d) $\Delta \mathrm{H}_{\text {soldion }}=\Delta \mathrm{H}_{1}+\Delta \mathrm{H}_{2}+\Delta \mathrm{H}_{3}$

Narayan Hari

Numerade Educator

Problem 41

Camphor is often used in molecular mass determination because
(a) It is readily available
(b) It has a very high cryoscopic constant
(c) It is volatile
(d) It is solvent for organic substances

Narayan Hari

Numerade Educator

Problem 42

Vapour pressure of dilute aqueous solution of glucose is $750 \mathrm{~mm}$ of mercury at $373 \mathrm{~K}$. The mole fraction of the solute is
(a) $1 / 7.6$
(b) $1 / 76$
(c) $1 / 10$
(d) $1 / 38$

Narayan Hari

Numerade Educator

Problem 43

$1 \mathrm{M}$ and $2.5$ litre $\mathrm{NaOH}$ solution is mixed with another $0.5 \mathrm{M}$ and 3 litre $\mathrm{NaOH}$ solution. Find out molarity of resultant solution.
(a) $1.0 \mathrm{M}$
(b) $0.84 \mathrm{M}$
(c) $0.73 \mathrm{M}$
(d) $0.56 \mathrm{M}$

Narayan Hari

Numerade Educator

Problem 44

The azeotropic mixture of water and $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}$ boils at $78.15^{\circ} \mathrm{C}$. When this mixture is distilled, it is possible to obtain
(a) pure $\mathrm{H}_{2} \mathrm{O}$
(b) pure $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}$
(c) pure $\mathrm{H}_{2} \mathrm{O}$ as well as pure $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}$
(d) neither $\mathrm{H}_{2} \mathrm{O}$ nor $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}$ in their pure state.

Narayan Hari

Numerade Educator

Problem 45

Two aqueous solutions, $\mathrm{A}$ and $\mathrm{B}$, are separated by a semi-permeable membrane. The osmotic pressure of solution A immediately begins to decrease. Which of the following statement is true?
(a) The solvent molecules are moving from the solution of higher osmotic pressure to that of lower osmotic pressure.
(b) The initial osmotic pressure of solution $\mathrm{B}$ is greater than that of solution $\mathrm{A}$.
(c) Solvent molecules are moving from solution B into solution A.
(d) Both (a) and (b) are true statements.

Hunza Gilgit

Numerade Educator

Problem 46

Ethylene glycol is added to water as anti-freeze. It will
(a) Only increase the boiling point of water
(b) Be used for cleaning the radiator in a car
(c) Prevent corrosion of automobile parts
(d) Decrease the freezing point of water in water and increase the boiling point of water in summer

Narayan Hari

Numerade Educator

Problem 47

The volumes of $4 \mathrm{~N} \mathrm{HCl}$ and $10 \mathrm{~N} \mathrm{HCl}$ required to make 1 litre of $6 \mathrm{~N} \mathrm{HCl}$ are
(a) $0.67$ litre of $4 \mathrm{~N} \mathrm{HCl}$ and $0.33$ litre of $10 \mathrm{~N}$ $\mathrm{HCl}$
(b) $0.80$ litre of $4 \mathrm{~N} \mathrm{HCl}$ and $0.20$ litre of $10 \mathrm{~N}$ $\mathrm{HCl}$
(c) $0.50$ litre of $4 \mathrm{~N} \mathrm{HCl}$ and $0.50$ litre of $10 \mathrm{~N}$ $\mathrm{HCl}$
(d) $0.75$ litre of $4 \mathrm{~N} \mathrm{HCl}$ and $0.25$ litre of $10 \mathrm{~N}$ $\mathrm{HCl}$

Narayan Hari

Numerade Educator

Problem 48

Which has minimum osmotic pressure?
(a) $200 \mathrm{ml}$ of $1 \mathrm{M}$ glucose solution
(b) $200 \mathrm{ml}$ of $2 \mathrm{M}$ urea solution
(c) $200 \mathrm{ml}$ of $2 \mathrm{M} \mathrm{NaCl}$ solution
(d) All have same

Narayan Hari

Numerade Educator

Problem 49

If $\alpha$ is the degree of dissociation of $\mathrm{Na}_{2} \mathrm{SO}_{4}$ the vant Hoff's factor (i) used for calculating the molecular mass is
(a) $1+\alpha$
(b) $1-\alpha$
(c) $1+2 \alpha$
(d) $1-2 \alpha$

Narayan Hari

Numerade Educator

Problem 50

Osmotic pressure observed when benzoic acid is dissolved in benzene is less than that expected from theoretical considerations. This is because
(a) benzoic acid is an organic solute
(b) benzoic acid has higher molar mass than benzene
(c) benzoic acid gets associated in benzene
(d) benzoic acid gets dissociated in benzene

Raghvendra Singh

Raghvendra Singh

Numerade Educator

Problem 51

At same temperature, which pair of the following solutions are isotonic solutions?
(a) $0.2 \mathrm{M} \mathrm{BaCl}_{2}$ and $0.2 \mathrm{M}$ urea
(b) $0.1 \mathrm{M}$ urea and $0.1 \mathrm{M} \mathrm{NaCl}$
(c) $0.1 \mathrm{M} \mathrm{NaCl}$ and $0.1 \mathrm{M} \mathrm{K}_{2} \mathrm{SO}_{4}$
(d) $0.1 \mathrm{M} \mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2}$ and $0.1 \mathrm{M} \mathrm{Na}_{2} \mathrm{SO}_{4}$

Raghvendra Singh

Raghvendra Singh

Numerade Educator

Problem 52

If at certain temperature the vapour pressure of pure water is $25 \mathrm{~mm} \mathrm{Hg}$ and that of a very dilute aqueous urea solution is $24.5 \mathrm{~mm} \mathrm{Hg}$, the molality of the solution is
(a) $0.02$
(b) $1.2$
(c) $1.11$
(d) $0.08$

Hunza Gilgit

Numerade Educator

Problem 53

If the molecule of $\mathrm{HCl}$ were totally polar, the expected value of dipole moment is $6.12 \mathrm{D}$ but the experimental value of dipole moment was $1.03 \mathrm{D}$. calculate the percentage ionic character?
(a) 0
(b) 17
(c) 50
(d) 90

Narayan Hari

Numerade Educator

Problem 54

$50 \mathrm{ml}$ of $10 \mathrm{~N} \mathrm{H}_{2} \mathrm{SO}_{4}, 25 \mathrm{ml}$ of $12 \mathrm{~N} \mathrm{HCl}$ and 40
$\mathrm{ml}$ of $5 \mathrm{~N} \mathrm{HNO}_{3}$ are mixed and the volume of the mixture is made $1000 \mathrm{ml}$ by adding water. The normality of resulting solution will be
(a) $1 \mathrm{~N}$
(b) $4 \mathrm{~N}$
(c) $3 \mathrm{~N}$
(d) $2 \mathrm{~N}$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 55

Equal volumes of ethylene glycol (molar mass = 62 ) and water (molar mass $=18$ ) are mixed. The depression in freezing point of water is (given $\mathrm{K}_{\mathrm{f}}$ of water $=1.86 \mathrm{~K}$ mol-1 $\mathrm{kg}$ and specific gravity of ethylene glycol is 1.11)
(a) $0.0033$
(b) $0.033$
(c) $0.33$
(d) $33.3$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 56

An azeotropic solution of two liquids has a boiling point lower than either of them when it
(a) Shows no deviation from Raoult's law
(b) Shows positive deviation from Raoult's law is saturated
(c) Shows negative deviation from Raoult's law
(d) None of these

Narayan Hari

Numerade Educator

Problem 57

In the process of osmosis
(a) the osmotic pressure of dilute solutions is always very small
(b) molecules of the solvent pass through the membrane while molecules of the solute may not
(c) the value of the osmotic pressure is given by $\mathrm{V}=\mathrm{nRT}$
(d) the osmotic pressure of blood ( $-25$ torr) is due to the many dissolved microparticles such as $\mathrm{Na}^{+}, \mathrm{K}^{+}, \mathrm{Cl}^{-}$and $\mathrm{HCO}_{3}^{-}$.

Narayan Hari

Numerade Educator

Problem 58

A solution containing $10 \mathrm{~g}$ per $\mathrm{dm} 3$ of urea (molecular mass $=60 \mathrm{~g} \mathrm{~mol}^{-1}$ ) is isotonic with a $5 \%$ solution of a nonvolatile solute. The molecular mass of this non-volatile solute is
(a) $350 \mathrm{~g} \mathrm{~mol}^{-1}$
(b) $200 \mathrm{~g} \mathrm{~mol}^{-1}$
(c) $250 \mathrm{~g} \mathrm{~mol}^{-1}$
(d) $300 \mathrm{~g} \mathrm{~mol}^{-1}$

Narayan Hari

Numerade Educator

Problem 59

$1.00 \mathrm{~g}$ of a non-electrolyte solute (molar mass 250 $\mathrm{g} \mathrm{mol}^{-1}$ ) was dissolved in $51.2 \mathrm{~g}$ of benzene. If the freezing point depression constant, Kf of benzene is $5.12 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$, the freezing point of benzene will be lowered by
(a) $0.5 \mathrm{~K}$
(b) $0.2 \mathrm{~K}$
(c) $0.4 \mathrm{~K}$
(d) $0.3 \mathrm{~K}$

Narayan Hari

Numerade Educator

Problem 60

$18 \mathrm{~g}$ of glucose $\left(\mathrm{C}_{6} \mathrm{H}_{2} \mathrm{O}_{6}\right)$ is added to $178.2 \mathrm{~g}$ of water. The vapour pressure of water for this aqueous solution at $100^{\circ} \mathrm{C}$ is
(a) $759.00$ torr
(b) $7.60$ torr
(c) $76.00$ torr
(d) $752.40$ torr

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 61

Which has the highest freezing point?
(a) $1 \mathrm{M}$ rock salt solution
(b) $1 \mathrm{~m} \mathrm{~K}_{4}\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]$ solution
(c) $1 \mathrm{~m} \mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}$ solution
(d) $1 \mathrm{~m} \mathrm{KCl}$ solution

Narayan Hari

Numerade Educator

Problem 62

Which will form maximum boiling azeotrope?
(a) $\mathrm{C}_{6} \mathrm{H}_{6}+\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CH}_{3}$ solution
(b) $\mathrm{HNO}_{3}+\mathrm{H}_{2} \mathrm{O}$ solution
(c) $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}+\mathrm{H}_{2} \mathrm{O}$ solution
(d) None of these

Narayan Hari

Numerade Educator

Problem 63

Which of the following exhibits the greatest freezing point lowering per mole of solute?
(a) $0.01 \mathrm{~m} \mathrm{NaCl}$
(b) $0.1 \mathrm{~m} \mathrm{NaCl}$
(c) $0.01 \mathrm{~m} \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}$
(d) $0.1 \mathrm{~m} \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}$

Narayan Hari

Numerade Educator

Problem 64

5 litres of a solution contains $25 \mathrm{mg}$ of $\mathrm{CaCO}_{3}$. What is its concentration in ppm? (Molecular weight of $\mathrm{CaCO}_{3}$ is 100 )
(a) 1
(b) 5
(c) 25
(d) 250

Narayan Hari

Numerade Educator

Problem 65

At $25^{\circ} \mathrm{C}$, the total pressure of an ideal solution obtained by mixing 3 moles of $\mathrm{A}$ and 2 moles of $\mathrm{B}$ is 184 torr. What is the vapour pressure (in torr) of pure B at the same temperature? (Vapour pressure of pure $\mathrm{A}$, at $25^{\circ} \mathrm{C}$, is 200 torr $)$
(a) 100
(b) 16
(c) 160
(d) 1

Narayan Hari

Numerade Educator

Problem 66

$0.5$ molal aqueous solution of a weak acid $(H X)$ is $20 \%$ ionized. If $\mathrm{K}_{\mathrm{f}}$ for water is $1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$,
the lowering in freezing point of the solution is
(a) $-1.12 \mathrm{~K}$
(b) $0.56 \mathrm{~K}$
(c) $1.12 \mathrm{~K}$
(d) $-0.56 \mathrm{~K}$

Narayan Hari

Numerade Educator

Problem 67

Phenol dimerizes in benzene having Van't Hoff factor $0.54$. What is the degree of association?
(a) $0.45$
(b) $0.92$
(c) 46
(d) 92

Narayan Hari

Numerade Educator

Problem 68

In the solubility of liquid solutions
(a) a positive heat of solution means heat is absorbed as the solute dissolves to form the saturated solution
(b) a positive enthalpy of solutions is when the system gains thermal energy on becoming saturated at the fixed temperature
(c) there is no noticeable temperature changes
(d) the solubility of a solute always increases with increasing temperature

Narayan Hari

Numerade Educator

Problem 69

What characteristics must a slightly soluble salt have if it is to be dissolved in water by increasing the temperature?
(a) A smaller value for $\mathrm{K}_{\mathrm{sp}}$ at the higher temperature
(b) A high negative slope for the solubility curve
(c) A low positive slope for the solubility curve
(d) A high positive slope for the solubility curve

Narayan Hari

Numerade Educator

Problem 70

A mixture of ethyl alcohol and propyl alcohol has a vapour pressure of $290 \mathrm{~mm}$ at $300 \mathrm{~K}$. The vapour pressure of propyl alcohol is $200 \mathrm{~mm}$. If the mole fraction of ethyl alcohol is $0.6$, its vapour pressure (in $\mathrm{mm}$ ) at the same temperature will be
(a) 300
(b) 700
(c) 360
(d) 350

Hunza Gilgit

Numerade Educator

Problem 71

The relative lowering of vapour pressure produced by a solution of $18 \mathrm{~g}$ of urea in $100 \mathrm{~g}$ of water is approximately
(a) $0.025$
(b) $0.5$
(c) $0.05$
(d) $0.25$

Narayan Hari

Numerade Educator

Problem 72

A $5.25 \%$ solution of a substance is isotonic with a $1.5 \%$ solution of urea (molar mass $\left.=60 \mathrm{~g} \mathrm{~mol}^{-1}\right)$ in the same solvent. If the densities of both the solutions are assumed to be equal to $1.0 \mathrm{~g} \mathrm{~cm}^{-3}$, molar mass of the substance will be
(a) $115.0 \mathrm{~g} \mathrm{~mol}^{-1}$
(b) $105.0 \mathrm{~g} \mathrm{~mol}^{-1}$
(c) $210.0 \mathrm{~g} \mathrm{~mol}^{-1}$
(d) $90.0 \mathrm{~g} \mathrm{~mol}^{-1}$

Mahendra Rathore

Mahendra Rathore

Numerade Educator

Problem 73

At $80^{\circ} \mathrm{C}$, the vapour pressure of pure liquid 'A' is $520 \mathrm{~mm} \mathrm{Hg}$ and that of pure liquid 'B' is $1000 \mathrm{~mm}$ Hg. If a mixture solution of 'A' and 'B' boils at $80^{\circ} \mathrm{C}$ and 1 atm pressure, the amount of 'A' in the mixture is $(1 \mathrm{~atm}=760 \mathrm{~mm} \mathrm{Hg})$.
(a) 52 mol per cent
(b) 34 mol per cent
(c) 48 mol per cent
(d) 50 mol per cent

Narayan Hari

Numerade Educator

Problem 74

Vapour pressure of pure $\mathrm{A}=100$ torr, moles $=2$ vapour pressure of pure $\mathrm{B}=80$ torr, moles $=3$ Total vapour pressure of mixture is
a. 187 torr
b. 450 torr
c. 44 torr
d. 88 torr

Narayan Hari

Numerade Educator

Problem 75

The vapour pressure of water at $20^{\circ} \mathrm{C}$ is $17.5 \mathrm{~mm}$ Hg. If $18 \mathrm{~g}$ of glucose $\left(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\right)$ is added to $178.2 \mathrm{~g}$
of water at $20^{\circ} \mathrm{C}$, the vapour pressure of the resulting solution will be
(a) $17.675 \mathrm{~mm} \mathrm{Hg}$
(b) $15.750 \mathrm{~mm} \mathrm{Hg}$
(c) $16.500 \mathrm{~mm} \mathrm{Hg}$
(d) $17.325 \mathrm{~mm} \mathrm{Hg}$.

Narayan Hari

Numerade Educator

Problem 76

Solution $\mathrm{S}_{1}$ contains $6 \mathrm{~g}$ of urea per litre and solution $\mathrm{S}_{2}$ contains 18 g glucose per litre. At $298 \mathrm{~K}$, the osmotic pressure of
a. $\mathrm{S}_{1}<\mathrm{S}_{2}$
b. $\mathrm{S}_{1}>\mathrm{S}_{2}$
c. both the solution is 1 atm
d. both the solution is same

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 77

A $0.2$ molal aqueous solution of a weak acid (HX) is $20 \%$ ionized. The freezing point of this solution is (Given $\mathrm{K}_{\mathrm{f}}=1.860 \mathrm{C} \mathrm{kg}$ mol- 1 for water $)$
a. $-0.45^{\circ} \mathrm{C}$
b. $-0.90^{\circ} \mathrm{C}$
c. $-0.21^{\circ} \mathrm{C}$
d. $-0.43^{\circ} \mathrm{C}$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 78

An aqueous solution of sucrose, $\mathrm{C} 1_{2} \mathrm{H}_{22} \mathrm{O}_{11}$, containing $34.2 \mathrm{~g} /$ lit has an osmotic pressure of $2.38$ atmospheres at $17^{\circ} \mathrm{C}$ for an aqueous solution of glucose, $\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}$ to be isotonic with this solution, it would have
a. $18.0 \mathrm{~g} /$ lit
b. $16.2 \mathrm{~g} /$ lit
c. $36.6 \mathrm{~g} /$ lit of glucose
d. $14.0 \mathrm{~g} /$ lit

Narayan Hari

Numerade Educator

Problem 79

The freezing point of water is depressed by $0.37^{\circ} \mathrm{C}$ in a $0.01$ molar $\mathrm{NaCl}$ solution. The freezing point of $0.02$ molal solution. of urea is dependent by
a. $00.37^{\circ} \mathrm{C}$
b. $0^{\circ} \mathrm{C}$
c. $0.56^{\circ} \mathrm{C}$
d. $0.187^{\circ} \mathrm{C}$

Narayan Hari

Numerade Educator

Problem 80

The relative lowering of vapour pressure of an aqueous solution containing non-volatile solute is 0.0125. The molarity of the solution is
a. $0.70$
b. $0.45$
c. $0.34$
d. $0.50$

Hast Aggarwal

Numerade Educator

Problem 81

$\mathrm{FeCl}_{3}$ reacts with $\mathrm{K}_{4} \mathrm{Fe}(\mathrm{CN})_{6}$ in aqueous solution to give blue colour if these two are separated by a
s.p.m. as shown in the figure then due to osmosis
a. blue colour is formed towards side $\mathrm{A}$
b. blue colour is formed towards side B
c. blue colour is formed on both the sides side
d. no blue colouration

Narayan Hari

Numerade Educator

Problem 82

The osmotic pressure of $0.1 \mathrm{M}$ solution of $\mathrm{NaNO}_{3}$ and $\mathrm{CH}_{3} \mathrm{COOH}$ are $\mathrm{P}_{1}$ and $\mathrm{P}_{2}$ respectively. thus,
a. $\mathrm{P}_{1}>\mathrm{P}_{2}$
b. $\mathrm{P}_{1}<\mathrm{P}_{2}$
c. $P_{1}=P_{2}$
d. $\frac{P}{P_{1}+P_{2}}$
$=\frac{P}{P_{1}+P_{2}}$

Narayan Hari

Numerade Educator

Problem 83

Two liquids $\mathrm{X}$ and $\mathrm{Y}$ form an ideal solution. The mixture has a vapour pressure of $400 \mathrm{~mm}$ at $300 \mathrm{~K}$ when mixed in the molar ratio of $1: 1$ and a vapour pressure of $350 \mathrm{~mm}$ when mixed in the molar ratio of $1: 2$ at the same temperature The vapour pressures of the two pure liquids $\mathrm{X}$ and $\mathrm{Y}$ respectively are
a. $250 \mathrm{~mm}, 590 \mathrm{~mm}$
b. $340 \mathrm{~mm}, 440 \mathrm{~mm}$
c. $230 \mathrm{~mm}, 210 \mathrm{~mm}$
d. $550 \mathrm{~mm}, 250 \mathrm{~mm}$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 84

The osmotic pressure of a solution containing $4.0 \mathrm{~g}$ of solute (molar mass 246 ) per litre at $27^{\circ} \mathrm{C}$ is $(\mathrm{R}=$ $0.082 \mathrm{~L}$ atm $\left.\mathrm{K}^{-1} \mathrm{~mol}^{-1}\right)$
a. $0.1 \mathrm{~atm}$
b. $0.3$ atm
c. $0.4 \mathrm{~atm}$
d. $0.9 \mathrm{~atm}$

Narayan Hari

Numerade Educator

Problem 85

The molecular weight of benzoic acid in benzene as determined by depression in freezing point method corresponds to
a. ionization of benzoic acid
b. dimerization of benzoic acid
c. trimerization of benzoic acid
d. solvation of benzoic acid

Raghvendra Singh

Raghvendra Singh

Numerade Educator

Problem 86

A solution is prepared by dissolving $17.75 \mathrm{~g} \mathrm{H}_{2} \mathrm{SO}_{4}$ in enough water to make $100.0 \mathrm{ml}$ of solution. If the density of the solution is $1.1094 \mathrm{~g} / \mathrm{ml}$, what is the mole fraction $\mathrm{H}_{2} \mathrm{SO}_{4}$ in the solution?
a. $1.338$
b. $0.148$
c. $3.38$
d. $0.0338$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 87

At $328 \mathrm{~K}$ ethanol has a vapour pressure of $168 \mathrm{~mm}$ and the vapour pressure of methyl cyclohexane is $280 \mathrm{~mm}$. A solution of the two, in which the mole fraction of ethanol is $0.68$, has a total vapour pressure of $376 \mathrm{~mm}$. This solution formed from its components with
a. The absorption of heat
b. The evolution of heat
c. Neither absorption nor evolution of heat
d. Nothing can be said

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 88

The vapour pressure of a solution of $5 \mathrm{~g}$ of non electrolyte in $100 \mathrm{~g}$ of water at a particular temperature is $2985 \mathrm{Nm}^{-2}$. The vapour pressure of pure water at that temperature is $3000 \mathrm{Nm}^{-2}$. The molecular weight of the solute is
a. 180
b. 90
c. 270
d. 360

Mahendra Rathore

Mahendra Rathore

Numerade Educator

Problem 89

Acetic acid has boiling point of $118.3^{\circ} \mathrm{C}$ and freezing point of $16.60 \mathrm{C} ; \mathrm{K}_{f}$ and $\mathrm{K}_{\mathrm{b}}$ are $3.57$ and $3.07 \mathrm{deg} / \mathrm{mole}$. The ratio of enthalpy of vaporization to that of fusion is
a. $21.2$
b. $1.065$
c. $4.25$
d. $2.12$

Narayan Hari

Numerade Educator

Problem 90

A $33 \%$ (by weight) aqueous solution of $\mathrm{NH}^{3}$ has a density of $0.892 \mathrm{~g} \mathrm{~cm}^{-3}$. Its molality and molarity are respectively
a. $28.97,17.31$
b. $17.31,28.97$
c. $57.84,34.62$
d. $34.62,57.84$

Narayan Hari

Numerade Educator

Problem 91

The molal elevation constant of water is $0.51$. The boiling point of $0.1$ molal aqueous $\mathrm{NaCl}$ solution is nearly
a. $100.05^{\circ} \mathrm{C}$
b. $100.1^{\circ} \mathrm{C}$
c. $100.2^{\circ}$
d. $101.0 \mathrm{C}$

Mahendra Rathore

Mahendra Rathore

Numerade Educator

Problem 92

The depression in f.p. of $0.01 \mathrm{~m}$ aqueous solution of urea, sodium chloride and sodium sulphate is in the ratio
a. $1: 1: 1$
b. $1: 2: 3$
c. $1: 2: 4$
d. $2: 2: 3$

Narayan Hari

Numerade Educator

Problem 93

Osmotic pressure of a solution is $0.0821$ atm at a temperature of $300 \mathrm{~K}$. The concentration in mole/ lit will be
a. $0.33$
b. $0.066$
c. $0.3 \times 10-2$
d. 3

Narayan Hari

Numerade Educator

Problem 94

Consider this figure and select the correct statement:
a. $\mathrm{BaCl}_{2}$ flows towards the $\mathrm{KCl}$ solution
b. $\mathrm{KCl}$ flows towards the $\mathrm{BaCl}_{2}$ solution
c. there will be no movement of any solution
d. first $\mathrm{KCl}$ flows towards $\mathrm{BaCl}_{2}$ then reverse process takes place

Raghvendra Singh

Raghvendra Singh

Numerade Educator

Problem 95

Commercial cold packs often contain solid $\mathrm{NH}_{4} \mathrm{NO}_{3}$ and a pouch of water. The temperature of the pack drops as the $\mathrm{NH}_{4} \mathrm{NO}_{3}$ dissolves in water. Therefore, for the dissolving of $\mathrm{NH}_{4} \mathrm{NO}_{3}$ in water,
a. $\Delta \mathrm{H}_{\mathrm{soln}}$ is positive and $\Delta \mathrm{S}_{\text {soln }}$ is positive.
b. $\Delta \mathrm{H}_{s \mathrm{son}}$ is positive and $\Delta \mathrm{S}_{\text {soln }}$ may be negative or positive
c. $\Delta \mathrm{H}_{\text {slin }}$ is negative and $\Delta \mathrm{S}_{\text {spln }}$ may be negative or positive
d. $\Delta \mathrm{H}_{\mathrm{seln}}$ is negative and $\Delta \mathrm{S}_{\mathrm{soln}}$ is positive

Narayan Hari

Numerade Educator

Problem 96

The freezing point of equimolal aqueous solution will be highest for
a. $\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{~N}+\mathrm{H}_{3} \mathrm{C}^{-}$(aniline hydrochloride)
b. $\mathrm{Ca}\left(\mathrm{NO}_{3}\right)_{2}$
c. $\mathrm{La}\left(\mathrm{NO}_{3}\right)_{3}$
d. $\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}$ (Glucose)

Narayan Hari

Numerade Educator

Problem 97

A sugar syrup of weight $214.2 \mathrm{~g}$ contains $34.2 \mathrm{~g}$ of water. The molal concentration is
a. $0.55$
b. $5.5$
c. 55
d. $0.1$

Narayan Hari

Numerade Educator

Problem 98

$5 \mathrm{ml}$ of $1 \mathrm{~N} \mathrm{HCl}, 20 \mathrm{ml}$ of $\mathrm{N} / 2 \mathrm{H}_{2} \mathrm{SO}_{4}$ and $30 \mathrm{ml}$
of $\mathrm{N} / 3 \mathrm{HNO}_{3}$ are mixed together and the volume made to one litre. The normality of the resulting solution is
a. $\mathrm{N} / 40$
b. $\mathrm{N} / 25$
c. $\mathrm{N} / 20$
d. $\mathrm{N} / 10$

Narayan Hari

Numerade Educator

Problem 99

The ionic strength of a solution containing $0.1 \mathrm{~mole} / \mathrm{kg}$ of $\mathrm{KCl}$ and $0.2 \mathrm{~mole} / \mathrm{kg}$ of $\mathrm{CuSO} 4$ is
a. $0.2$
b. $0.3$
c. $0.6$
d. $0.9$

Narayan Hari

Numerade Educator

Problem 100

In a solution of an organic solute (mol. wt. = 180 ) in $\mathrm{CCl}_{4}$, where the solute is dimerised. 50 $\mathrm{g}$ of the solute are present per litre of the solution. The osmotic pressure of the solution is $4.11$ atm at $27^{\circ} \mathrm{C}$ (Assume $\mathrm{R}=0.082$ lit atm $\mathrm{K}^{-1}$ $\mathrm{mol}^{-1}$ ). The degree of association of the solute in $\mathrm{CCl}_{4}$ is
a. $75.5 \%$
b. $70 \%$
c. $60 \%$
d. $80 \%$

Narayan Hari

Numerade Educator

Problem 101

In $100 \mathrm{~g}$ of naphthalene, $2.423 \mathrm{~g}$ of $\mathrm{S}$ was dissolved. Melting point of naphthalene $=80.1^{\circ} \mathrm{C} . \Delta \mathrm{T}_{i}$ $=0.661^{\circ} \mathrm{C} \cdot \mathrm{L}_{\mathrm{f}}=35.7 \mathrm{cal} / \mathrm{g}$ of naphthalene. Molecu-
lar formula of sulphur added is
a. $\mathrm{S}_{4}$
b. $\mathrm{S}_{8}$
c. $\mathrm{S}_{2}$
d. $\mathrm{S}_{6}$

Narayan Hari

Numerade Educator

Problem 102

Mole fraction of solute in benzene is $0.2$, then the molality of the solution is
a. 2
b. 4
c. $3.2$
d. $3.8$
103. Which one of the following aqueous solutions will exhibit highest boiling point?
a. $0.05 \mathrm{M}$ glucose
b. $0.01 \mathrm{M} \mathrm{KNO}_{3}$
c. $0.015 \mathrm{M}$ urea
d. $0.01 \mathrm{M} \mathrm{Na}_{2} \mathrm{SO}_{4}$

Narayan Hari

Numerade Educator

Problem 103

Which one of the following aqueous solutions will exhibit highest boiling point?
a. $0.05 \mathrm{M}$ glucose
b. $0.01 \mathrm{M} \mathrm{KNO}_{3}$
c. $0.015 \mathrm{M}$ urea
d. $0.01 \mathrm{M} \mathrm{Na}_{2} \mathrm{SO}_{4}$

Hast Aggarwal

Numerade Educator

Problem 104

A $1.03 \%$ solution of glycerine is isotopic with 2 \% solution of glucose. What will be the molecular mass of glycerin?
a. $92.7$
b. $98.0$
c. $90.2$
d. $96.4$

Narayan Hari

Numerade Educator

Problem 105

Out of $1 \mathrm{~N} \mathrm{HNO}_{3}$ and $1 \mathrm{~N} \mathrm{H}_{2} \mathrm{SO}_{4}$ aqueous solutions, which has higher boiling point?
a. $\mathrm{HNO}_{3}$
b. $\mathrm{H}_{2} \mathrm{SO}_{4}$
c. both have same boiling point
d. cannot be predicted

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 106

A $5 \%$ solution (by mass) of cane sugar in water has freezing point of $271 \mathrm{~K}$ and freezing point of pure water is $273.15 \mathrm{~K}$. The freezing point of a $5 \%$ solution (by mass) of glucose in water is
a. $271 \mathrm{~K}$
b. $273.15 \mathrm{~K}$
c. $269.07 \mathrm{~K}$
d. $277.23 \mathrm{~K}$

Narayan Hari

Numerade Educator

Problem 107

Amount of urea $\left(\mathrm{NH}_{2} \mathrm{CONH}_{2}\right)$ to be dissolved in 1 $\mathrm{kg}$ of water so that the value of the $\mathrm{K}_{\mathrm{f}}=105 \Delta \mathrm{T}_{\mathrm{f}}$
a. $0.57 \mathrm{~g}$
b. $1.14 \mathrm{~g}$
c. $05.7 \mathrm{~g}$
d. $0.96 \mathrm{~g}$

Narayan Hari

Numerade Educator

Problem 108

The vapour pressure of two liquids 'P' and ' $Q$ ' are 80 and 60 torr respectively. The total vapour pressure of solution obtained by mixing 3 mole of $\mathrm{P}$ and $2 \mathrm{~mol}$ of $\mathrm{Q}$ would be
a. 20 torr
b. 72 torr
c. 68 torr
d. 140 torr

Mahendra Rathore

Mahendra Rathore

Numerade Educator

Problem 109

Consider the following three solutions for 3 strong electrolytes. $\mathrm{KL}, \mathrm{MN}_{2}, \mathrm{OP}_{3}$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 110

Consider the following pairs of completely miscible liquids in order: water-dioxan, acetone-chloroform and ethylene dibromide-propylene dibromide. These will respectively show the following types of deviations from Raoult's law (in the vapour pressure curves)
a. negative, positive, zero
b. positive, zero, negative
c. positive, negative, zero
d. zero, positive, negative

VS

Vivek Singh

Numerade Educator

Problem 111

The latent heat of vaporization of water is 9800 $\mathrm{cal} / \mathrm{mole}$ and it the b.p. is $100^{\circ} \mathrm{C}$, the ebullioscopic constant of water is
a. $0.511^{\circ}$
b. $1.22^{\circ}$
c. $51.18^{\circ}$
d. $10.26^{\circ}$

Narayan Hari

Numerade Educator

Problem 112

The osmotic pressure of urea solution is $500 \mathrm{~mm}$ at $10^{\circ} \mathrm{C}$. If the solution is diluted and temperature is raised to $25^{\circ} \mathrm{C}$, the osmotic pressure decreases to $105.3 \mathrm{~mm}$, what is the extent of dilution?
a. $2.5$ times
b. $3.25$ times
c. 5 times
d. $7.5$ times

Narayan Hari

Numerade Educator

Problem 113

$25 \mathrm{~g}$ of a binary electrolyte (molecular weight $=100$ ) are dissolved in $600 \mathrm{~g}$ of water. The freezing point of the solution is $-0.74^{\circ} \mathrm{C} ; \mathrm{K}_{\mathrm{f}}=1.86$ molarity- 1 . The degree of dissociation of the electrolyte is
a. 0
b. $25 \%$
c. $66.5 \%$
d. $87.5 \%$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 114

Solution A contains $7 \mathrm{~g} / \mathrm{L} \mathrm{MgCl}_{2}$ and solution $\mathrm{B}$ contains $7 \mathrm{~g} / \mathrm{L}$ of $\mathrm{NaCl}$. At room temperature, the osmotic pressure of
a. Both have same osmotic pressure
b. Solution $\mathrm{B}$ is greater than $\mathrm{A}$
c. Solution $\mathrm{A}$ is greater than $\mathrm{B}$
d. Cannot determined

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 115

If two substances $\mathrm{A}$ and $\mathrm{B}$ have $\mathrm{P}^{\circ} \mathrm{A}: \mathrm{P}^{\circ} \mathrm{B}=1: 2$ and have mole fraction in solution $1: 2$, then mole fraction of $\mathrm{A}$ in vapours is
a. $0.2$
b. $0.52$
c. $0.25$
d. $0.36$

Narayan Hari

Numerade Educator

Problem 116

Dry air is passed through a solution containing 10 $g$ of the solute in $90 \mathrm{~g}$ of water and then through pure water. The loss in weight of solution is $2.5$ $\mathrm{g}$ and that of pure solvent is $0.05 \mathrm{~g}$. Calculate the molecular weight of the solute.
a. 25
b. 51
c. 50
d. 102

Narayan Hari

Numerade Educator

Problem 117

A $0.001$ molal solution of a complex $\left[\mathrm{MX}_{8}\right]$ in water has the freezing point of $-0.0054^{\circ} \mathrm{C}$. Assuming $100 \%$ ionization of the complex salt and $\mathrm{K}_{f}$ for $\mathrm{H}_{2} \mathrm{O}=1.86 \mathrm{Km}^{-1}$, write the correct representation for the complex.
a. $\left[\mathrm{MX}_{6}\right] \mathrm{X}_{2}$
b. $\left[\mathrm{MX}_{5}\right] \mathrm{X}_{3}$
c. $\left[\mathrm{MX}_{8}\right]$
d. $\left[\mathrm{MX}_{7}\right] \mathrm{X}$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 118

A solution containing $0.1 \mathrm{~g}$ of a non-volatile organic substance $\mathrm{P}$ (molecular weight $=100$ ) in $100 \mathrm{~g}$ of benzene raises the boiling point of benzene by $0.2^{\circ} \mathrm{C}$, while a solution containing $0.1 \mathrm{~g}$ of another non-volatile substance $\mathrm{Q}$ in the same amount of benzene raises the boiling point of benzene by $0.4^{\circ} \mathrm{C}$. What is the ratio of molecular weights of $\mathrm{P}$ and $\mathrm{Q}$ ?
a. $1: 4$
b. $4: 1$
c. $1: 2$
d. $2: 1$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 119

If the vapour pressures of pure A and pure B at $298 \mathrm{~K}$ are 60 and 15 torr respectively, what would be the mole percent of A in vapour phase (at this temperature) in a solution that contains 20 mole per cent of $A$ in the (A +
B) binary mixture in the liquid phase?
a. $0.5$
b. $0.3$
c. $0.7$
d. $0.8$

VS

Vivek Singh

Numerade Educator

Problem 120

Concentrated aqueous sulphuric acid is $98 \%$ $\mathrm{H}_{2} \mathrm{SO}_{4}$ by mass and has a density of $1.80 \mathrm{~g} \cdot \mathrm{mL}^{-1}$
Volume of acid required to make one litre of $0.1$ M $\mathrm{H}_{2} \mathrm{SO}_{4}$ solution is:
a. $11.10 \mathrm{~mL}$
b. $16.65 \mathrm{~mL}$
c. $22.20 \mathrm{~mL}$
d. $5.55 \mathrm{~mL}$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 121

A decimolar solution of pot. ferrocyanide is $50 \%$ dissociated at $300 \mathrm{~K}$. calculate the osmotic pressure of the solution $(\mathrm{R}=8.314 \mathrm{JK}-1 \mathrm{~mol}-1)$
a. $0.74$ atm
b. $7.4$ atm
c. $76.89 \mathrm{~atm}$
d. $3.2$

Narayan Hari

Numerade Educator

Problem 122

Which of the following plots represents the behaviour of an ideal binary liquid solution?
a. Plot of Ptotal vs $\mathrm{NB}$ is linear
b. Plot of Ptotal vs NA (mol fraction of A in vapour phase) is linear
c. Plot of $1 /$ Ptotal vs $\mathrm{NB}$ is non-linear
d. Plot of $1 /$ Ptotal vs NA is linear

Narayan Hari

Numerade Educator

Problem 123

$\mathrm{pH}$ of $0.1 \mathrm{M}$ monobasic acid solution is found to be
2. Thus its osmotic pressure at $\mathrm{T} \mathrm{K}$ is
a. $0.011 \mathrm{ST}$
b. $0.11 \mathrm{ST}$
c. $0.0011 \mathrm{ST}$
d. $1.11 \mathrm{ST}$

Narayan Hari

Numerade Educator

Problem 124

The number of millimoles of sodium chloride and magnesium chloride required to coagulate a litre each of two sols $\mathrm{X}$ and $\mathrm{Y}$ are as follows:
$\mathrm{X}$
$\mathrm{Y}$
$\mathrm{NaCl} \quad 51$
46
$\mathrm{MgCl}_{2}$
71
23
Which of the following would not be reasonable value to expect for the amount of the other salt required to cause precipitation?
a. Y will be precipitated by $0.8$ millimoles of $\mathrm{MgSO}_{4}$
b. X will be precipitated by 25 millimoles of $\mathrm{Na}_{2} \mathrm{SO}_{4}$
c. Y will be precipitated by $0.3$ millimoles of $\mathrm{AlCl}_{3}$
d. X will be precipitated by $0.06$ milli-moles of $\mathrm{AlCl}_{3}$

VS

Vivek Singh

Numerade Educator

Problem 125

Van't Hoff proved that osmotic pressure $(\pi)$ is a colligative property and for an ideal solution, osmotic pressure ( $\pi$ ) is helpful to find that molecular mass of solute by using the relation
$\mathrm{M}_{\mathrm{B}}=\frac{\mathrm{W}_{\mathrm{B}} \mathrm{R}_{\mathrm{T}}}{\pi \cdot \mathrm{V}}$
The law can be shown by which of these curve $(\mathrm{C}=$ concentration $) ?$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 126

Which are the incorrectly matched statements?
a. Water + HI - Minimum boiling point azeotrope
b. $\mathrm{HNO}_{3}+$ Water $-$ Endothermic solution
c. $\mathrm{CHCl}_{3}+\mathrm{CCl}_{4}-$ Endothermic solution
d. Acetic acid $+$ pyridine $-$ Hot solution

Narayan Hari

Numerade Educator

Problem 127

The osmotic pressure of $0.1 \mathrm{M} \mathrm{Fe}_{2}\left(\mathrm{SO}_{4}\right)_{3}$ aqueous solution is nearest to that of
a. $0.1 \mathrm{M} \mathrm{CaCl}_{2}$
b. $0.1 \mathrm{M} \mathrm{Ca}_{3}\left[\mathrm{PO}_{4}\right]_{2}$
c. $0.1 \mathrm{M} \mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}$
d. $0.1 \mathrm{M} \mathrm{K}_{4}\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]$

Hunza Gilgit

Numerade Educator

Problem 128

When two miscible liquids form an ideal solution, which of the thermodynamic properties is/are zero?
a. $\Delta \mathrm{V}$
b. $\Delta \mathrm{G}$
c. $\Delta \mathrm{H}$ only
d. $\Delta \mathrm{S}$

Narayan Hari

Numerade Educator

Problem 129

Increasing the temperature of an aqueous solution will not cause
a. decrease in molality
b. decrease in molarity
c. decrease in mole fraction
d. decrease in \% (w/w).

Raghvendra Singh

Raghvendra Singh

Numerade Educator

Problem 130

Which of the following is/are colligative property?
a. Osmotic pressure
b. Vapour pressure of solution
c. Depression in freezing point
d. Elevation in boiling point

Narayan Hari

Numerade Educator

Problem 131

Which of the following is/are not correctly matched?
Solvent $\quad$ Ebullioscopic constant
a. Chloroform $1.22$
b. Water $1.86$
c. Acetone $0.51$
d. Benzene $2.53$

Narayan Hari

Numerade Educator

Problem 132

Select the correct statements about the following solutions (assuming equal amount of each solute is dissolved in 1 lit solution)
1 lit $\mathrm{KCl}, 1$ lit Urea, 1 lit $\mathrm{CaCl}_{2}, 1$ lit $\mathrm{Mg}_{3}\left(\mathrm{PO}_{4}\right)_{2}$
a. Boiling point:
$$
\mathrm{KCl}>\text { urea }>\mathrm{Mg}_{3}\left(\mathrm{PO}_{4}\right)_{2}>\mathrm{CaCl}_{2}
$$
b. Freezing point:
$$
\text { Urea }<\mathrm{KCl}<\mathrm{Mg}_{3}\left(\mathrm{PO}_{4}\right)_{2}<\mathrm{CaCl}_{2}
$$
c. Osmotic pressure:
$$
\mathrm{KCl}>\text { urea }>\mathrm{Mg}_{3}\left(\mathrm{PO}_{4}\right)_{2}>\mathrm{CaCl}_{2}
$$
d. Freezing point:
$$
\mathrm{KCl}>\text { urea }>\mathrm{Mg}_{3}\left(\mathrm{PO}_{4}\right)_{2}>\mathrm{CaCl}_{2}
$$

VS

Vivek Singh

Numerade Educator

Problem 133

Which is/are not true about ideal solutions?
a. The entropy of mixing is zero
b. The enthalpy of mixing is negative
c. The volume of mixing is zero
d. The enthalpy of mixing is zero

Narayan Hari

Numerade Educator

Problem 134

Dimmer of benzoic acid in benzene is in equilibrium with benzoic acid at a particular condition of temperature and pressure. If half of the dimmer molecules are hypothetically separated out then
a. Freezing point of the solution reduces
b. Vapour pressure of the solution reduces
c. Osmotic pressure of the solution reduces
d. Boiling point of the solution reduces

Narayan Hari

Numerade Educator

Problem 135

Which of the following liquid pairs show a negative deviation from Raoult' law?
a. water $-$ nitric acid
b. water - hydrochloric acid
c. benzene - methanol
d. acetone $-$ chloroform

Narayan Hari

Numerade Educator

Problem 136

Which one of the following statements is/are true?
a. two sucrose solutions of same molality prepared in different solvents will have the same freezing point depression
b. the osmotic pressure ( $\pi$ ) of a solution is given by the equation $\pi=$ MRT, where $M$ is the molarity of the solution
c. Raoult's law states that the vapour pressure of a component over a solution is proportional to its mole fraction
d. the correct order of osmotic pressure for $0.01$ M aqueous solution of each compound is $\mathrm{BaCl}_{2}>\mathrm{KCl}<\mathrm{CH}_{3} \mathrm{COOH}>$ Sucrose

Narayan Hari

Numerade Educator

Problem 137

Consider the following arrangement and select the incorrect options.
Semipermeable membrane
a. O.P. of $\mathrm{Na}_{2} \mathrm{SO}_{4}$ solution is higher than the O.P of $\mathrm{KCl}$ solution
b. Water will flow from $\mathrm{KCl}$ solution to $\mathrm{Na}_{2} \mathrm{SO}_{4}$ solution
c. O.P. of $\mathrm{Na}_{2} \mathrm{SO}_{4}$ solution is lesser than the O.P. of $\mathrm{KCl}$ solution
d. Water will flow from $\mathrm{Na}_{2} \mathrm{SO}_{4}$ solution to $\mathrm{KCl}$ solution

Narayan Hari

Numerade Educator

Problem 138

Which of the following statement is/are correct?
a. Maximum boiling azeotropic mixture boils at temperature higher than either of the two pure components
b. Minimum boiling azeotropic mixture boils at temperature lower than either of the two pure components
c. Maximum boiling azeotropic mixture shows negative deviation
d. Minimum boiling azeotropic mixture shows no deviation

Narayan Hari

Numerade Educator

Problem 139

To $22 \mathrm{ml} 1 \mathrm{M} \mathrm{BaCl}_{2}$ solution $1_{2} \mathrm{ml}$ of $0.6 \mathrm{M} \mathrm{K}_{2} \mathrm{SO}_{4}$
is added, $\mathrm{BaSO}_{4}$ is precipitated out.
a. Vapour pressure is decreased
b. boiling point is increased
c. freezing point is increased
d. freezing point is decreased

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 140

Which one of the statements given below concerning properties of solutions, can not describe a Colligative effect?
a. boiling point of pure water decreases by the addition of ethanol
b. vapour pressure of pure water decreases by the addition of nitric acid
c. vapour pressure of pure benzene decreases by the addition of naphthalene
d. boiling point of pure benzene increases by the addition of toluene

Raghvendra Singh

Raghvendra Singh

Numerade Educator

Problem 141

Which of the following solutions are isotonic with one another?
a. $.0 .15 \mathrm{M}$ urea
b. $0.05 \mathrm{M} \mathrm{CaCl}_{2}$
c. $0.1 \mathrm{M} \mathrm{MgSO}_{4}$
d. $.0 .15 \mathrm{M}$ glucose

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 142

Which of the following can not form(s) ideal solution?
a. Ethyl alcohol + water
b. Ethyl bromide $+$ ethyl iodide
c. Benzene $+$ Toluene
d. Chloroform + benzene

Narayan Hari

Numerade Educator

Problem 143

Which of the following is/are application/s of colligative properties?
a. Melting snow by application of salt
b. Reduced boiling points of pure liquids at increased altitudes
c. Adding silver to mercury to lower the vapour pressure of mercury
d. Desalinating sea water by reverse osmosis

Narayan Hari

Numerade Educator

Problem 144

$0.5 \mathrm{~mol}$ of $\mathrm{H}_{2} \mathrm{SO}_{4}$ will exactly neutralize
a. $1 \mathrm{~mol}$ of ammonia
b. $0.5$ mol of $\mathrm{Mg}(\mathrm{OH})_{2}$
c. $2 \mathrm{~mol}$ of $\mathrm{Ca}(\mathrm{OH})_{2}$
d. $1 \mathrm{~mol}$ of $\mathrm{KOH}$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 145

'V' litre decinormal solution of $\mathrm{KCl}$ is prepared. Half of the solution is converted into centinormal and added it into left decinormal solution. Then
a. Number of milli equivalents of $\mathrm{KCl}$ do not change
b. Number of milli moles of $\mathrm{KCl}$ are reduced by $1 / 5$.
c. Normality of the final solution becomes $0.01$ $\mathrm{N}$.
d. Molarity of the final solution becomes $0.018$
M.

VS

Vivek Singh

Numerade Educator

Problem 146

Freezing point lowering expression can be given as $\Delta \mathrm{Tf}=\mathrm{K}_{f} \mathrm{~m}$ (molality)
Which of these assumption can be considered for the validity of the above relation?
a. The $\Delta \mathrm{H}_{f}$ (latent heat of fusion of solvent) is independent of temperature between the actual and normal freezing point
b. $\Delta \mathrm{T}_{f}$ is not equal to $3 \mathrm{~K}_{f}$ for $3 \mathrm{~mol} \mathrm{~L}^{-1}$ solution.
c. The solid phase consists of pure solvent when solution is allowed to cool.
d. The solution is dilute

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 147

Consider following solutions:
(I) $1 \mathrm{M}$ aqueous urea solution
(II) $1 \mathrm{M}$ aqueous potassium bromide solution
(III) $1 \mathrm{M}$ aqueous aluminium phosphate solution
(IV) $1 \mathrm{M}$ benzoic acid in benzene
Select correct statement(s) for the above solutions:
a. III is hypertonic of I, II and IV.
b. II is hypotonic of III but hypertonic of I and IV.
c. IV is the hypotonic of I, II and III
d. All are isotonic solutions

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 148

Which to these curves do not represent the Henry's law?
(A) $\log \mathrm{m}$
(B) $\log \mathrm{m}$
$\uparrow$
$\uparrow$
$\rightarrow \log P \quad \rightarrow \log P$
(C) $\log \mathrm{m}$
(D) $\log \mathrm{m}$
$\uparrow$
$\rightarrow \log \mathrm{P} \quad \rightarrow \log \mathrm{P}$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 149

To $10 \mathrm{ml}$ of $0.1 \mathrm{M} \mathrm{BaCl}_{2}$ solution $0.2 \mathrm{ml}$ of $3 \mathrm{M}$ $\mathrm{Na}_{2} \mathrm{SO}_{4}$ is added. Assume $\mathrm{BaSO}_{4}$ formed on mixing is completely insoluble and the salts are completely dissociated as well as the change in volume is negligible. Point out the correct statement.
a. Boiling point is increased
b. Freezing point is raised
c. Freezing point is lowered
d. Freezing point and boiling point do not change

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 150

A compound 'P' undergoes tetramerization in a given solvent 'Q'. Here correct statements are
a. Observed freezing point $\times 4$ $=$ Normal freezing point
b. Vant Hoff factor of compound is $0.25$
c. Experimental boiling point $=$ Calculated boiling point 4
d. Observed molar mass of solute
$=4 \times$ Normal molar mass

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 151

When a plot of boiling point versus composition is plotted, then the type of graph that cannot be obtained is

Rashmi Gondi

Numerade Educator

Problem 152

Select the correct option for an ideal solution:
(i) $\Delta \mathrm{Hmix}=0, \Delta \mathrm{V}_{\text {mix }}=0$
(ii) $\Delta \operatorname{Smix}>0, \Delta V=0$
(iii) $\Delta \mathrm{Hmix}=0, \Delta \mathrm{S}>0$
(iv) V.Pobs. $>$ V.Pexp.
a. (i), (ii), (iii), (iv)
b. (i), (ii), (iii)
c. (ii), (iii), (iv)
d. (i), (ii)

Narayan Hari

Numerade Educator

Problem 153

Consider the following graph plotted between the vapour pressure of two volatile liquids against their respectively mole fraction and select the correct options.
a. When $x_{A}=1$ and $x_{\mathrm{B}}=0$, then $P=P_{A}^{o}$
b. When $x_{B}=1$ and $x_{A}=0$, then $P=P_{B}^{\circ}$
c. $\mathrm{x}_{\mathrm{A}}=0$ and $\mathrm{xB}=0$, then $\mathrm{P}<\mathrm{P}_{\text {B }}^{\circ}$
d. Both $\mathrm{A}, \mathrm{B}$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 154

In case of dissociation, which of the following increases,
(i) Vapour pressure
(ii) Freezing Point
(iii) Boiling point
(iv) Osmotic pressure
a. (i), (iii), (iv)
b. (ii) (iii), (iv)
c. (iii), (iv)
d. (ii), (iii)

Narayan Hari

Numerade Educator

Problem 155

Which of the following represents the decreasing order of $\Delta T_{b}$ ?
(i) $0.02 \mathrm{M}$ Glucose
(ii) $0.01 \mathrm{M} \mathrm{KC}_{1}$
(iii) $0.02 \mathrm{M} \mathrm{CaF}_{2}$
(iv) $0.01 \mathrm{M} \mathrm{AlCl}_{3}$
a. (iv) $>(\mathrm{iii})>(\mathrm{ii})=$ (i)
b. (iii) $>(\mathrm{iv})>(\mathrm{ii})=(\mathrm{i})$
c. (iii) $>(\mathrm{iv})>(\mathrm{ii})>$ (i)
d. (iv) $>(\mathrm{iii})>(\mathrm{ii})>(\mathrm{i})$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 156

Find the value of want of factor for $0.1 \mathrm{M} \mathrm{Ca}\left(\mathrm{NO}_{3}\right)_{2}$ solution if degree of dissociation of $0.87$ for it
a. $1.74$
b. $2.74$
c. $2.84$
d. $2.62$

Narayan Hari

Numerade Educator

Problem 157

If we take $1 \mathrm{~L}$ solution at $300 \mathrm{~K}$ of $0.1 \mathrm{M}$ sucrose, $0.05 \mathrm{M} \mathrm{KCl}, 0.1 \mathrm{CaCl}_{2}$ and $0.1 \mathrm{M} \mathrm{AlCl}_{3}$, The correct
ratio of osmotic pressure for these respectively can be given as:
a. $1: 2: 3: 4$
b. $1: 1: 3: 4$
c. $1: 1: 2: 4$
d. $1: 1: 1: 4$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 158

Which of the following is not true here incase of association ?
(i) $\Delta \mathrm{T}_{\text {oks. }}>\Delta \mathrm{T}_{\text {exp. }}$
(ii) $\mathrm{O} \cdot \mathrm{P}_{\mathrm{obs}}>\mathrm{O} \cdot \exp$.
(iii) $\Delta \mathrm{T}_{\text {obs. }}>\Delta \mathrm{Tf}_{\exp \text {. }}$
(iv) Mol. $\mathrm{Wt}_{\mathrm{obs}}>\mathrm{Mol} . \mathrm{Wt}_{\text {eexp. }}$
a. (i), (ii)
b. (ii), (iii)
c. (i), (ii), (iii)
d. (ii), (iii), (iv)

Narayan Hari

Numerade Educator

Problem 159

The van't Hoff factor is
a. $\mathrm{i}=1+\alpha$
b. $\mathrm{i}=1+\alpha / 2$
c. $\mathrm{i}=1-\alpha / 2$
d. $\mathrm{i}=1-2 \alpha$

Narayan Hari

Numerade Educator

Problem 160

The degree of association can be given as
a. $\alpha=\frac{\Delta \mathrm{T}_{\mathrm{b}}}{2 \mathrm{~K}_{\mathrm{bx}}}$
b. $\alpha=\frac{2+2 \Delta \mathrm{T}_{\mathrm{b}}}{\mathrm{K}_{\mathrm{bx}}}$
c. $\alpha=\frac{2\left(\mathrm{~K}_{\mathrm{bx}}-\Delta \mathrm{T}_{\mathrm{b}}\right)}{\mathrm{K}_{\mathrm{bx}}}$
d. $\alpha=\frac{\left(\mathrm{K}_{\mathrm{bx}}-\Delta \mathrm{T}_{\mathrm{b}}\right)}{\Delta \mathrm{T}_{\mathrm{b}} \cdot 2}$

Narayan Hari

Numerade Educator

Problem 161

When $0.55 \mathrm{~g}$ of pure benzoic acid, $\mathrm{C}_{7} \mathrm{H}_{6} \mathrm{O}_{2}$, is dissolved in $32.0 \mathrm{~g}$ of benzene, the freezing point of the solution is measured to be $0.36^{\circ} \mathrm{C}$ lower than the freezing point value of $5.50^{\circ} \mathrm{C}$ for the pure solvent. Calculate the molecular weight of benzoic acid in benzene.
a. $242.4$
b. $244.4$
c. $245.2$
d. $122.2$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 162

The freezing point of the solution $\mathrm{M}$ is
a. $268.7 \mathrm{~K}$
b. $268.5 \mathrm{~K}$
c. $234.2 \mathrm{~K}$
d. $150.9 \mathrm{~K}$

Narayan Hari

Numerade Educator

Problem 163

The vapour pressure of the solution $\mathrm{M}$ is
a. $39.3 \mathrm{~mm} \mathrm{Hg}$
b. $36.0 \mathrm{~mm} \mathrm{Hg}$
c. $29.5 \mathrm{~mm} \mathrm{Hg}$
d. $28.8 \mathrm{~mm} \mathrm{Hg}$

Narayan Hari

Numerade Educator

Problem 164

Water is added to the solution $\mathrm{M}$ such that the mole fraction of water in the solution becomes $0.9$. The boiling point of this solution is
a. $380.4 \mathrm{~K}$
b. $376.2 \mathrm{~K}$
c. $375.5 \mathrm{~K}$
d. $354.7 \mathrm{~K}$

Nikhil Choudhary

Nikhil Choudhary

Numerade Educator

Problem 165

(A): Camphor is used as a solvent in the determination of molecular weight on non-volatile solute.
(R): Camphor has high molal elevation constant.

Narayan Hari

Numerade Educator

Problem 166

(A): When a cell is placed in hypertonic solution, it shrinks
(R): Reverse osmosis is used for desalination of water.

Narayan Hari

Numerade Educator

Problem 167

(A): When $\mathrm{CuSO}_{4} .5 \mathrm{H}_{2} \mathrm{O}$ is dissolved in water, the solution cools down and when $\mathrm{CuSO}_{4}$ is dissolved in water, the solution gets heated up.
(R): The dissolution of hydrated $\mathrm{CuSO}_{4}$ is endothermic process because force of attraction decreases on dissolution whereas $\mathrm{CuSO}_{4}$ (anhydrous) changes to hydrated and energy is released due to formation of new bonds.

Narayan Hari

Numerade Educator

Problem 168

(A): Addition of ethylene glycol to water lowers the freezing point of water, therefore, used as anti-freeze.
(R): 1,2 -Ethanediol is soluble in water because it can form $\mathrm{H}$-bond with water, therefore vapour pressure of solution is lowered.

Narayan Hari

Numerade Educator

Problem 169

(A): All solutes become more soluble in water at higher temperature
(R): The amount of solute that dissolve depends upon the mature temperature and pressure (gases) of the substance

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 170

(A): The vapour pressure of $0.45$ molar urea solution is more than that of $0.45$ molar solution of sugar.
(R): Lowering of vapour pressure is directly proportional to the number of species present in the solution.

Narayan Hari

Numerade Educator

Problem 171

(A): An increase in surface area increases the rate of evaporation
(R): Stronger the inter-molecular attraction forces, faster in the rate of evaporation at a given temperature

Narayan Hari

Numerade Educator

Problem 172

(A): The freezing point of $0.1 \mathrm{M}$ urea is less than that of $0.1 \mathrm{M} \mathrm{KCl}$ solution
(R): The depression of freezing point is directly proportional to the number of species present in the solution.

Narayan Hari

Numerade Educator

Problem 173

(A): The freezing point of $0.05 \mathrm{M}$ urea solution is different from that of $0.05 \mathrm{M}$ sodium chloride solution.
(R): The depression in freezing point is directly proportional to the number of species present in the solution.

Narayan Hari

Numerade Educator

Problem 174

(A): The vapour pressure of $0.1 \mathrm{M}$ sugar solution is more than that of $0.1 \mathrm{M}$ potassium chloride solution.
(R): Lowering of vapour pressure is directly proportional to the number of species present in the solution.

Narayan Hari

Numerade Educator

Problem 175

(A): Acetic acid has molecular weight of 120 in benzene solution.
(R): There is dimmer formation by H-bonding.

Narayan Hari

Numerade Educator

Problem 176

(A): The boiling point of $0.1$ urea solution is less than that if $0.1 \mathrm{M} \mathrm{KCl}$ solution.
(R): Elevation of boiling point is directly proportional to the number of species present in the solution

Narayan Hari

Numerade Educator

Problem 177

(A): If one component obeyed Raoult's law over a certain range of composition, the other component would not obey Henry's law in that range.
(R): Raoult's law is a special case of Henry's law.

Narayan Hari

Numerade Educator

Problem 178

(A): Strength and Normality are two different methods of expressing the concentration of a solution.
(R): Strength is equal to normality of a solution.

Narayan Hari

Numerade Educator

Problem 179

(A): One molar aqueous solution has always higher concentration than one molal.
(R): The molality of a solution depends upon the density of the solution whereas molarity does not.

Narayan Hari

Numerade Educator

Problem 180

(A): Osmosis involves movement of solvent molecules from its lower concentration to its higher concentration.
(R): Solution having the same osmotic pressure are called isotonic solution.

Narayan Hari

Numerade Educator

Problem 181

(A): The vapour pressure of a liquid decreases if some non-volatile solute is dissolved in it.
( $\mathbf{R}$ ): The relative lowering of vapour pressure of a solution containing a non volatile solute is equal to the mole fraction of the solute in the solution.

Narayan Hari

Numerade Educator

Problem 182

(A): Solutions show deviations from Raoult's law.
(R): The cause for these deviations lies in the nature of interactions at the molecular level.

Narayan Hari

Numerade Educator

Problem 183

(A): Vapour pressure of water is less than $1.013$ bar at $373 \mathrm{~K}$.
(R): Water boilts at $373 \mathrm{~K}$ as the vapour pressure at this temperature becomes equal to atmospheric pressure.

Narayan Hari

Numerade Educator

Problem 184

(A): A Azeotropic liquid mixture is one that boils with unchanged composition.
(R): The vapour pressure of a liquid decreases upon dissolution of a non volatile liquid which is attributable to its some kind of association with non-volatile solute.

Narayan Hari

Numerade Educator

Problem 185

(A): Introduction of Van't Hoff factor signifies the change in molalities with respect to number of particles present in solution after dissociation or association.
(R): Van't Hoff factor can be neglected if molality remains the same.

Narayan Hari

Numerade Educator

Problem 186

(A): Molecular mass of polymers cannot be calculated using boiling point or freezing point method.
(R): Polymers solution do not possess a constant boiling point or freezing point.

Narayan Hari

Numerade Educator

Problem 187

(A): One molal aqueous solution of urea contains 60 g of urea in $1000 \mathrm{~g}$ water.
(R): Solution having one mole of solute in $1000 \mathrm{~g}$ solvent in called as one molal solution.

Narayan Hari

Numerade Educator

Problem 188

(A): Elevation in boiling point will be high if the molal elevation constant of the liquid is high.
(R): Elevation in boiling point is a colligative property.

Narayan Hari

Numerade Educator

Problem 189

(A): Azeotropic mixture are formed only by nonideal solutions.
(R): Boiling point of an azeotropic is either higher than both the components or lower than both the components.

Narayan Hari

Numerade Educator

Problem 190

(A): The mobility of sodium ions is lower than that of potassium ion.
(R): The ionic mobilities depend upon the effective radius of the ion.

Narayan Hari

Numerade Educator

Problem 191

(A): When dried fruits and vegetables are placed in water, they slowly get swelled.
(R): It happens due to the phenomenon of osmosis.

Narayan Hari

Numerade Educator

Problem 192

Match the following:
Column |
A. Osmotic pressure
B. Relative lowering of
V.P.
C. Elevation in B.P.
D. Depression in F.P.
Column II
(p) Colligative Property
(q) Ostwald Walker Method
(r) $\alpha 1 /$ molecular weight of solute
(s) Ebullioscopic constant
(t) Cryoscopic constant

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 193

Match the following for an ideal solution:
Column 1
A. $\Delta \mathrm{H}$
B. $\Delta V$
C. A - B interaction
D. total vapour pressure
Column II
(p) observed vapour pressure
(q) equals to $\mathrm{A}-\mathrm{A}$ or $\mathrm{B}-\mathrm{B}$
(r) zero
(s) positive

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 194

Match the following:
Column I (Solute)
A. $\mathrm{FeCl}_{3} \quad$ if $\alpha=0.8$
B. $\mathrm{CaCl}_{2}$ if $\alpha=0.9$
C. $\mathrm{K}_{3} \mathrm{PO}_{4} \quad$ if $\alpha=0.9$
D. $\mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3} \quad$ if $\alpha=0.7$
Column II (Van't Hoff factor, i)
(p) $\mathrm{i}=3.4$
(q) $i=2.8$
(r) $i=3.8$
(s) $\mathrm{i}=3.7$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 195

Match the following
Column 1
A. Normality
B. Molarity
C. Molality
D. Concentration
Column II
(p) gram of solute in one lit.
(q) no. of mole in one $\mathrm{kg}$ solvent
(r) no. of mole in one lit.
(s) no. of $\mathrm{w} / \mathrm{E}$ in one lit

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 196

Match the following:
Column I
A. $\mathrm{K}_{4}\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]$
B. $\mathrm{Fe}_{2}\left(\mathrm{SO}_{4}\right)_{3}$
C. $\mathrm{NH}_{2}-\mathrm{CO}-\mathrm{NH}_{2}$
D. $\mathrm{BaCl}_{2}$
Column II (Here $\alpha=$ degree of ionization)
(p) 1
(q) $1+\alpha$
(q) $1+\alpha$
(r) $1+4 \alpha$
(s) Greater than 1

VS

Vivek Singh

Numerade Educator

Problem 197

Match the following:
Column I
A. Benzene $+$ Toluene
B. Acetone + Chloroform
C. Ethyl Chloride $+$ Ethyl Bromide
D. Ethyl Alcohol + Water
Column II
(p) Ideal Solution
(q) Can be separated by fractional distillation
(r) Can not be separated by fractional distillation completely
(s) Maximum boiling Azetrope.
(t) Minimum boiling Azetrope.

VS

Vivek Singh

Numerade Educator

Problem 198

Match the value of molarity with normality here.
Column I
A. $0.02 \mathrm{M} \mathrm{HCl}$
B. $0.01 \mathrm{M} \mathrm{HCl}$
C. $0.001 \mathrm{M} \mathrm{Ca}(\mathrm{OH})_{2}$
D. $0.002 \mathrm{M} \mathrm{Al}(\mathrm{OH})_{3}$
Column II
(p) $0.01 \mathrm{~N} \mathrm{HCl}$
(q) $0.02 \mathrm{~N} \mathrm{HCl}$
(r) $0.006 \mathrm{~N} \mathrm{Al}(\mathrm{OH})_{3}$
(s) $0.002 \mathrm{~N} \mathrm{Ca}(\mathrm{OH})_{2}$

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 199

Match the following:
Column I
A. Molality
B. Mole fraction of solute
C. Normality
D. Molarity
Column II
(p) $\frac{\% \mathrm{mass} \times \mathrm{d} \times 10}{\mathrm{M}_{\mathrm{B}}}$
(q) $\frac{\% \mathrm{mass} \times \mathrm{d} \times 10}{\mathrm{E}_{\mathrm{B}}}$
(r) $\frac{\mathrm{M} \times 10^{3}}{1000 \mathrm{~d}-\mathrm{MM}_{\mathrm{B}}}$
(s) $\frac{\mathrm{mM}_{\mathrm{A}}}{1+\mathrm{mM}_{\mathrm{A}}}$

VS

Vivek Singh

Numerade Educator

Problem 200

Match the following:
Column I
A. $01 \mathrm{M} \mathrm{Fe}_{2}\left(\mathrm{SO}_{4}\right)_{3}$
B. $0.1 \mathrm{M} \mathrm{AlPO}_{4}$
C. 0.1 M Glucose
D. $0.1 \mathrm{M} \mathrm{CaCl}_{2}$
Column II
(p) Solution with highest boiling point
(q) Van't Hoff factor is greater than 1
(r) Solution with lowest osmotic pressure
(s) Solution with lowest freezing point

Himanshu Kushwaha

Himanshu Kushwaha

Numerade Educator

Problem 201

The van't Hoff factor for $0.1 \mathrm{M} \mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2}$ solution is $2.74$. The degree of dissociation is
a. $91.4 \%$
b. $87 \%$
c. $100 \%$
d. $75 \%$ [IIT 1999]

Narayan Hari

Numerade Educator

Problem 202

In the depression of freezing point experiment, it is found that
1. the vapour pressure of the solution is less than that of pure solvent.
2. the vapour pressure of the solution is more than that of pure solvent
3. only solute molecules solidify at the freezing point.
4. only solvent molecules solidify at the freezing point
a. 1,2
b. 2,3
c. 1,4
d. 1,3 [IIT 1999]

Narayan Hari

Numerade Educator

Problem 203

To $500 \mathrm{~cm}^{3}$ of water, $3.0 \times 10^{-3} \mathrm{~kg}$ of acetic acid is added. If $23 \%$ of acetic acid is dissociated, what will be the depression in freezing point? $\mathrm{K}_{\mathrm{f}}$ and density of water at $1.86 \mathrm{~K} \mathrm{~kg}-1$ and $0.0997 \mathrm{~g} \mathrm{~cm}^{-3}$
respectively.
a. $0.186 \mathrm{~K}$
b. $0.228 \mathrm{~K}$
c. $0.371 \mathrm{~K}$
d. $0.555 \mathrm{~K}$
[IIT 2000]

Narayan Hari

Numerade Educator

Problem 204

An aqueous solution of $6.3 \mathrm{~g}$ oxalic acid dihydrate is made up to $250 \mathrm{ml}$. The volume of $0.1 \mathrm{~N} \mathrm{NaOH}$ required to completely neutralize $10 \mathrm{ml}$ of this solution is
a. $40 \mathrm{ml}$
b. $20 \mathrm{ml}$
c. $10 \mathrm{ml}$
d. $4 \mathrm{ml}$
[IIT 2001]

Narayan Hari

Numerade Educator

Problem 205

During depression of freezing point in a solution which of the following are in equilibrium?
a. liquid solvent, solid solvent
b. liquid solvent, solid solute
c. liquid solute, solid solute
d. liquid solute, solid solvent [IIT 2003]

Narayan Hari

Numerade Educator

Problem 206

A $0.004 \mathrm{M}$ solution of $\mathrm{Na}_{2} \mathrm{SO}_{4}$ is isotonic with a $0.010 \mathrm{M}$ solution of glucose at same temperature. The apparent degree of dissociation of $\mathrm{Na}_{2} \mathrm{SO}_{4}$ is
a. $25 \%$
b. $50 \%$
c. $75 \%$
d. $85 \%$ [IIT 2004]

VS

Vivek Singh

Numerade Educator

Problem 207

The elevation in boiling point for $13.44 \mathrm{~g}$ of $\mathrm{CuCl}_{2}$ dissolved in $1 \mathrm{~kg}$ of water as solvent will be $(\mathrm{Kb}=0.52 \mathrm{~kg} / \mathrm{J}$, molar mass of $\mathrm{CuCl} 2=134.4$
$\mathrm{g} / \mathrm{mol}$ )
a. $0.05$
b. $0.10$
c. $0.16$
d. $0.20$. [IIT 2005]

Narayan Hari

Numerade Educator

Problem 208

When $20 \mathrm{~g}$ of naphthoic acid $\left(\mathrm{C}_{11} \mathrm{H}_{8} \mathrm{O}_{2}\right)$ is dissolved in $50 \mathrm{~g}$ of benzene $\left(\mathrm{Kf}=1.72 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\right)$,
a freezing point depression of $2 \mathrm{~K}$ is observed. The Van't Hoff factor (i) is
a. 1
b. $0.5$
c. 3
d. 2 [IIT 2007]
209. The Henry's law constant for the solubility of $\mathrm{N}_{2}$ gas in water at $298 \mathrm{~K}$ is $1.0 \times 10^{5}$ atm. The mole fraction of $\mathrm{N}_{2}$ in air is $0.8$. The number of mole of $\mathrm{N}_{2}$ from air dissolved in 10 moles of water at $298 \mathrm{~K}$ and 5 atm pressure is
a. $4.0 \times 10^{-4}$
b. $4.0 \times 10^{-5}$
c. $5.0 \times 10^{-4}$
d. $4.0 \times 10^{-6}$
[IIT 2009]

Narayan Hari

Numerade Educator