JEE Physics

StemEZ

Chapter 8

Thermodynamics - all with Video Answers

Educators

Chapter Questions

Problem 1084

A difference of temperature of $25^{\circ} \mathrm{Cis}$ equivalent to a difference of
(A) $72^{\circ} \mathrm{F}$
(B) $45^{\circ} \mathrm{F}$
(C) $32^{\circ} \mathrm{F}$
(D) $25^{\circ} \mathrm{F}$

Sachin Rao

Sachin Rao

Numerade Educator

Problem 1085

What is the value of absolute temperature on the Celsius Scale?
(A) $-273.15^{\circ} \mathrm{C}$
(B) $100^{\circ} \mathrm{C}$
(C) $-32^{\circ} \mathrm{C}$
(D) $0^{\circ} \mathrm{C}$

Sachin Rao

Numerade Educator

Problem 1086

The temperature of a substance increases by $27^{\circ} \mathrm{C}$ What is the value of this increase of Kelvin scale?
(A) $300 \mathrm{~K}$
(B) $2-46 \mathrm{~K}$
(C) $7 \mathrm{~K}$
(D) $27 \mathrm{~K}$

Sachin Rao

Numerade Educator

Problem 1087

At Which temperature the density of water is maximum?
(A) $4^{\circ} \mathrm{F}$
(B) $42^{\circ} \mathrm{F}$
(C) $32^{\circ} \mathrm{F}$
(D) $39.2^{\circ} \mathrm{F}$

Sachin Rao

Numerade Educator

Problem 1088

The graph $\mathrm{AB}$ Shown in figure is a plot of a temperature of a body in degree Fahrenheit than slope of line $\mathrm{AB}$ is
(A) $(5 / 9)$
(B) $(9 / 5)$
(C) $(1 / 9)$
(D) $(3 / 9)$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1089

The temperature on Celsius scale is $25^{\circ} \mathrm{C}$. What is the corresponding temperature on the Fahrenheit Scale?
(A) $40^{\circ} \mathrm{F}$
(B) $45^{\circ} \mathrm{F}$
(C) $50^{\circ} \mathrm{F}$
(D) $77^{\circ} \mathrm{F}$

Sachin Rao

Numerade Educator

Problem 1090

The temperature of a body on Kelvin Scale is found to be $\mathrm{x}^{\circ} \mathrm{K}$. When it is measured by Fahrenheit thermometers. It is found to be $x^{\circ} \mathrm{F}$, then the value of $\mathrm{x}$ is.
(A) 313
(A) $301.24$
(C) $574-25$
(D) 40

Sachin Rao

Numerade Educator

Problem 1091

A Centigrade and a Fahrenheit thermometer are dipped in boiling water. The water temperature is lowered until the Fahrenheit thermometer registered $140^{\circ} .$ What is the fall in thermometers
(A) $80^{\circ}$
(B) $60^{\circ}$
(C) $40^{\circ}$
(D) $30^{\circ}$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1092

A uniform metal rod is used as a bas pendulum. If the room temperature rises by $10^{\circ} \mathrm{C}$ and the efficient of line as expansion of the metal of the rod is, $2 \times 10^{-6} 0_{\mathrm{c}}^{-1}$ what will have percentage increase in the period of the pendulum?
(A) $-2 \times 10^{-3}$
(B) $1 \times 10^{-3}$
(C) $-1 \times 10^{-3}$
(D) $2 \times 10^{-3}$

Sachin Rao

Numerade Educator

Problem 1093

A gas expands from 1 liter to 3 liter at atmospheric pressure. The work done by the gas is about
(A) $200 \mathrm{~J}$
(B) $2 \mathrm{~J}$
(C) $300 \mathrm{~J}$
(D) $2 \times 10^{5} \mathrm{~J}$

Sachin Rao

Numerade Educator

Problem 1094

Each molecule of a gas has $\mathrm{f}$ degrees of freedom. The radio $\left(\mathrm{C}_{\mathrm{p}} / \mathrm{C}_{\mathrm{v}}\right)=\gamma$ for the gas is
(A) $1+(\mathrm{f} / 2)$
(B) $1+(1 / \mathrm{f})$
(C) $1+(2 / \mathrm{f})$
(D) $1+\{(\mathrm{f}-1) / 3\}$

Sachin Rao

Numerade Educator

Problem 1095

Is the cyclic Process Shown on the $\mathrm{V} \rightarrow \mathrm{P}$ diagram, the magnitude of the work done is
(A) $\pi\left\{\left(\mathrm{P}_{2}-\mathrm{P}_{1}\right) / 2\right\}^{2}$
(B) $\pi\left\{\left(\mathrm{V}_{2}-\mathrm{V}_{1}\right) / 2\right\}$
(C) $\pi\left(\mathrm{P}_{2} \mathrm{~V}_{2}-\mathrm{P}_{1} \mathrm{~V}_{1}\right)$
(D) $(\pi / 4)\left(\mathrm{P}_{2}-\mathrm{P}_{1}\right)\left(\mathrm{V}_{2}-\mathrm{V}_{1}\right)$

Sachin Rao

Numerade Educator

Problem 1096

If the ratio of specific heat of a gas at Constant pressure to that at constant volume is $\gamma$, the Change in internal energy of the mass of gas, when the volume changes from $\mathrm{V}$ to $2 \mathrm{~V}$ at Constant Pressure p, is
(A) $\{(\mathrm{PV}) /(\gamma-1)\}$
(B) $\{\mathrm{R} /(\gamma-1)\}$
(C) PV
(D) $\{(\gamma \mathrm{PV}) /(\gamma-1)\}$

Sachin Rao

Numerade Educator

Problem 1097

The change in internal energy, when a gas is cooled from $927^{\circ} \mathrm{C}$ to $27^{\circ} \mathrm{C}$
(A) $200 \%$
(B) $100 \%$
(C) $300 \%$
(D) $400 \%$

Sachin Rao

Numerade Educator

Problem 1098

For hydrogen gas $\mathrm{C}_{\mathrm{p}}-\mathrm{C}_{\mathrm{v}}=\mathrm{a}$ and for oxygen gas $\mathrm{C}_{\mathrm{p}}-\mathrm{C}_{\mathrm{v}}=\mathrm{b}$, The relation between $\mathrm{a}$ and $\mathrm{b}$ is given by
(A) $a=4 b$
(B) $a=b$
(C) $\mathrm{a}=16 \mathrm{~b}$
(D) $a=8 b$

Sachin Rao

Numerade Educator

Problem 1099

In a thermodynamic process, pressure of a fixed mass of a gas is changed in such a manner that the gas release $20 \mathrm{~J}$ of heat and $8 \mathrm{~J}$ of work has done on the gas-If the initial internal energy of the gas was $30 \mathrm{j}$, then the final internal energy will be
(A) $58 \mathrm{~J}$
(B) $2 \mathrm{~J}$
(C) $42 \mathrm{~J}$
(D) $18 \mathrm{~J}$

Sachin Rao

Numerade Educator

Problem 1100

If for a gas $\left(\mathrm{C}_{\mathrm{p}} / \mathrm{C}_{\mathrm{v}}\right)=1.67$, this gas is made up to molecules which are
(A) diatomic
(B) Polytomic
(C) monoatomic
(D) mixnese of diatomic and polytomic molecules

Sachin Rao

Numerade Educator

Problem 1101

An ideal monoatomic gas is taken around the cycle $\mathrm{ABCDA}$ as Shown in the $\mathrm{P} \rightarrow \mathrm{V}$ diagram. The work done during the cycle is given by
(A) PV
(B) $(1 / 2)$
(C) $2 \mathrm{PV}$
(D) $4 \mathrm{PV}$

Sachin Rao

Numerade Educator

Problem 1102

A given mass of a gas expands from state $\mathrm{A}$ to $\mathrm{B}$ by three different paths 1,2 and 3 as shown in the figure. If $\mathrm{W}_{1}, \mathrm{~W}_{2}$ and $\mathrm{W}_{3}$ respectively be the work done by the gas along the three paths, then
(A) $\mathrm{W}_{1}>\mathrm{W}_{2}>\mathrm{W}_{3}$
(B) $\mathrm{W}_{1}<\mathrm{W}_{2}<\mathrm{W}_{3}$
(C) $\mathrm{W}_{1}=\mathrm{W}_{2}=\mathrm{W}_{3}$
(D) $\mathrm{W}_{1}<\mathrm{W}_{2}, \mathrm{~W}_{1}<\mathrm{W}_{3}$

Sachin Rao

Numerade Educator

Problem 1103

One mole of a monoatomic gas $[\gamma=(5 / 3)]$ is mixed with one mole of A diatomic gas $[\gamma=(7 / 5)]$ what will be value of $\gamma$ for mixture ?
(A) $1.454$
(B) $1.4$
(C) $1.54$
(D) $1.5$

Sachin Rao

Numerade Educator

Problem 1104

If du represents the increase in internal energy of a thermodynamic system and dw the work done by the system, which of the following statement is true?
(A) $\mathrm{du}=\mathrm{dw}$ in isothermal process
(C) $\mathrm{du}=-\mathrm{dw}$ in an aidabatic process
(B) $\mathrm{du}=\mathrm{dw}$ in aidabatic process
(D) $\mathrm{du}=-\mathrm{dw}$ in an isothermal process

Sachin Rao

Numerade Educator

Problem 1105

One mole of a monoatomic ideal gas is mixed with one mole of a diatomic ideal gas The moles specific heat of the picture at constant volume is $\ldots \ldots \ldots$
(A) $4 \mathrm{R}$
(B) $3 \mathrm{R}$
(C) $\mathrm{R}$
(D) $2 \mathrm{R}$

Sachin Rao

Numerade Educator

Problem 1106

One mole of a monoatomic gas is heat at a constant pressure of 1 atmosphere from $0 \mathrm{k}$ to $100 \mathrm{k}$. If the gas constant $\mathrm{R}=8.32 \mathrm{~J} / \mathrm{mol} \mathrm{k}$ the change in internal energy of the gas is approximate ?
(A) $23 \mathrm{~J}$
(B) $1.25 \times 10^{3} \mathrm{~J}$
(C) $8.67 \times 10^{3} \mathrm{~J}$
(D) $46 \mathrm{~J}$

Sachin Rao

Numerade Educator

Problem 1107

A gas mixture consists of 2 mole of oxygen and 4 mole of argon at temperature $\mathrm{T}$. Neglecting all vibrational modes, the total internal energy of the system is
(A) $11 \mathrm{RT}$
(B) $9 \mathrm{RT}$
(C) $15 \mathrm{RT}$
(D) $4 \mathrm{RT}$

Sachin Rao

Numerade Educator

Problem 1108

A monoatomic ideal gas, intially at temperature $1_{1}$ is enclosed in a cylinders fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature $\mathrm{T}_{2}$ by releasing the piston suddenly If $\mathrm{L}_{1}$ and $\mathrm{L}_{2}$ the lengths of the gas column before and after expansion respectively, then then $\left(\mathrm{T}_{1} / \mathrm{T}_{2}\right)$ is given by
(A) $\left\{\mathrm{L}_{1} / \mathrm{L}_{2}\right\}^{(2 / 3)}$
(B) $\left\{\mathrm{L}_{2} / \mathrm{L}_{1}\right\}^{(2 / 3)}$
(C) $\left\{\mathrm{L}_{1} / \mathrm{L}_{2}\right\}$
(D) $\left\{\mathrm{L}_{2} / \mathrm{L}_{1}\right\}$

Sachin Rao

Numerade Educator

Problem 1109

Starting with the same initial Conditions, an ideal gas expands from Volume $\mathrm{V}_{1}$ to $\mathrm{V}_{2}$ in three different ways. The Work done by the gas is $\mathrm{W}_{1}$ if the process is purely isothermal, $\mathrm{W}_{2}$ if purely isobaric and $\mathrm{W}_{3}$ if purely adiabatic Then
(A) $\mathrm{W}_{2}>\mathrm{W}_{1}>\mathrm{W}_{3}$
(B) $\mathrm{W}_{2}>\mathrm{W}_{3}>\mathrm{W}_{1}$
(C) $\mathrm{W}_{1}>\mathrm{W}_{2}>\mathrm{W}_{3}$
(D) $\mathrm{W}_{1}>\mathrm{W}_{3}>\mathrm{W}_{2}$

Sachin Rao

Numerade Educator

Problem 1110

In a given process on an ideal gas $\mathrm{dw}=0$ and $\mathrm{dQ}<0$. Then for the gas
(A) the volume will increase
(B) the pressure will remain constant
(C) the temperature will decrease
(D) the temperature will increase

Sachin Rao

Numerade Educator

Problem 1111

Water of volume 2 liter in a container is heated with a coil of $1 \mathrm{kw}$ at $27^{\circ} \mathrm{C}$. The lid of the container is open and energy dissipates at the rate of $160(\mathrm{~J} / \mathrm{S}) .$ In how much time temperature will rise from $27^{\circ} \mathrm{C}$ to $77^{\circ} \mathrm{C}$. Specific heat of water is $4.2\{(\mathrm{KJ}) /(\mathrm{Kg})\}$
(A) $7 \mathrm{~min}$
(B) $6 \min 2 \mathrm{~s}$
(C) $14 \mathrm{~min}$
(D) $8 \min 20 \mathrm{~S}$

Sachin Rao

Numerade Educator

Problem 1112

70 calorie of heat are required to raise the temperature of 2 mole of an ideal gas at constant pressure from $30^{\circ} \mathrm{C}$ to $35^{\circ} \mathrm{C}$ The amount of heat required to raise the temperature of the same gas through the same range at constant volume is $\ldots \ldots \ldots \ldots \ldots .$ calorie.
(A) 50
(B) 30
(C) 70
(D) 90

Sachin Rao

Numerade Educator

Problem 1113

Two cylinders $\mathrm{A}$ and $\mathrm{B}$ fitted with piston contain equal amounts of an ideal diatomic gas at $300 \mathrm{k}$. The piston of $\mathrm{A}$ is free to move, While that of $B$ is held fixed. The same amount of heat is given to the gas in each cylinders. If the rise in temperature of the gas in $\mathrm{A}$ is $30 \mathrm{~K}$, then the rise in temperature of the gas in $\mathrm{B}$ is.
(A) $30 \mathrm{~K}$
(B) $42 \mathrm{~K}$
(C) $18 \mathrm{~K}$
(D) $50 \mathrm{~K}$

Sachin Rao

Numerade Educator

Problem 1114

Two cylinders $\mathrm{A}$ and $\mathrm{B}$ fitted with piston contain equal amounts of an ideal diatomic gas at $300 \mathrm{k}$. The piston of $\mathrm{A}$ is free to move, While that of $\mathrm{B}$ is held fixed. The same amount of heat is given to the gas in each cylinders. If the rise in temperature of the gas in $\mathrm{A}$ is $30 \mathrm{~K}$, then the rise in temperature of the gas in $\mathrm{B}$ is.
(A) $30 \mathrm{~K}$
(B) $42 \mathrm{~K}$
(C) $18 \mathrm{~K}$
(D) $50 \mathrm{~K}$

Sachin Rao

Numerade Educator

Problem 1115

An insulated contains containing monoatomic gas of moles mass $\mathrm{M}_{0}$ is moving with a velocity, $\mathrm{V}$. If the container is suddenly stopped, find the change in temperature.
(A) $\left\{\left(M_{0} V^{2}\right) /(5 R)\right\}$
(B) $\left\{\left(\mathrm{M}_{0} \mathrm{~V}^{2}\right) /(4 \mathrm{R})\right\}$
(C) $\left\{\left(\mathrm{M}_{0} \mathrm{~V}^{2}\right) /(3 \mathrm{R})\right\}$
(D) $\left\{\left(\mathrm{M}_{0} \mathrm{~V}^{2}\right) /(2 \mathrm{R})\right\}$

Sachin Rao

Numerade Educator

Problem 1116

A Small spherical body of radius $\mathrm{r}$ is falling under gravity in a viscous medium. Due to friction the medium gets heated. How does the rate of heating depend on radius of body when it attains terminal velocity!
(A) $r^{2}$
(B) $r^{3}$
(C) $\mathrm{r}^{4}$
(D) $\mathrm{r}^{5}$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1117

The first law of thermodynamics is concerned with the conservation of
(A) momentum
(B) energy
(C) mass
(D) temperature

Sachin Rao

Numerade Educator

Problem 1118

If heat given to a system is $6 \mathrm{k}$ cal and work done is $6 \mathrm{kj}$. The change in internal energy is ......... KJ.
(A) $12.4$
(B) 25
(C) $19.1$
(D) 0

Sachin Rao

Numerade Educator

Problem 1119

The internal energy change in a system that has absorbed 2 Kcal of heat and done $500 \mathrm{~J}$ of work is
(A) $7900 \mathrm{~J}$
(B) $4400 \mathrm{~J}$
(C) $6400 \mathrm{~J}$
(D) $8900 \mathrm{~J}$

Sachin Rao

Numerade Educator

Problem 1120

Which of the following is not a thermodynamical function.
(A) Enthalpy
(B) Work done
(C) Gibb's energy
(D) Internal energy

Sachin Rao

Numerade Educator

Problem 1121

Which of the following is not a thermodynamic co-ordinate.
(A) $\mathrm{R}$
(B) $\mathrm{P}$
(C) $\mathrm{T}$
(D) $\mathrm{V}$

Sachin Rao

Numerade Educator

Problem 1122

The work of $62.25 \mathrm{KJ}$ is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increases by $5^{\circ} \mathrm{C}$ The gas is $\mathrm{R}=8.3\{\mathrm{~J} /(\mathrm{mole})\}$
(A) triatomic
(B) diatomic
(C) monoatomic
(D) a mixture of monoatomic and diatomic

Sachin Rao

Numerade Educator

Problem 1123

$\mathrm{Cp}$ and Cv denote the specific heat of oxygen per unit mass at constant Pressure and volume respectively, then
(A) $\mathrm{cp}-\mathrm{cv}=(\mathrm{R} / 16)$
(B) $\mathrm{Cp}-\mathrm{Cv}=\mathrm{R}$
(C) $\mathrm{Cp}-\mathrm{Cv}=32 \mathrm{R}$
(D) $\mathrm{Cp}-\mathrm{Cv}=(\mathrm{R} / 32)$

Sachin Rao

Numerade Educator

Problem 1124

When a System is taken from State $i$ to State $f$ along the path iaf, it is found that $\mathrm{Q}=70 \mathrm{cal}$ and $\mathrm{w}=30 \mathrm{cal}$, along the path ibf. $\mathrm{Q}=52$ cal. $\mathrm{W}$ along the path ibf is
(A) 6 cal
(B) $12 \mathrm{cal}$
(C) $24 \mathrm{cal}$
(D) 8 cal

Sachin Rao

Numerade Educator

Problem 1125

One $\mathrm{kg}$ of adiatomic gas is at a pressure of $5 \times 10^{5}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$ The density of the gas is $\left\{(5 \mathrm{~kg}) / \mathrm{m}^{3}\right\}$ what is the energy of the gas due to its thermal motion ?
(A) $2.5 \times 10^{5} \mathrm{~J}$
(B) $3.5 \times 10^{5} \mathrm{~J}$
(C) $4.5 \times 10^{5} \mathrm{~J}$
(D) $1.5 \times 10^{5} \mathrm{~J}$

Sachin Rao

Numerade Educator

Problem 1126

$200 \mathrm{~g}$ of water is heated from $25^{\circ} \mathrm{C}^{\circ} 45^{\circ} \mathrm{C}$ Ignoring the slight expansion of the water the change in its internal energy is (Specific heat of wafer $1\left\{(\right.$ cal $\left.) /\left(9^{\circ} \mathrm{C}\right)\right\}$
(A) $33.4 \mathrm{KJ}$
(B) $11.33 \mathrm{KJ}$
(C) $5.57 \mathrm{KJ}$
(D) $16.7 \mathrm{KJ}$

Sachin Rao

Numerade Educator

Problem 1128

One mole of oxygen is heated at constant pressure starting at $0^{\circ} \mathrm{C}$. How much heat energy in cal must be added to the gas to double its volume ? Take $\mathrm{R}=2\{(\mathrm{cal}) /($ mole $)\}$
(A) 1938
(B) 1920
(C) 1911
(D) 1957

Sachin Rao

Numerade Educator

Problem 1129

$\mu$ moles of a gas filled in a container at temperature $\mathrm{T}$ is in equilibrium initially. If the gas is compressed slowly and is thermally to half its initial volume the work done by the atmosphere on the piston is
(A) $-\{\mathrm{RT} / 2\}$
(B) $\{(\mu \mathrm{RT}) / 2\}$
(C) $\mu \mathrm{RT} / \mathrm{n}\{2-(1 / 2)\}$
$(\mathrm{D})-\mu \mathrm{RT} / \mathrm{n}_{2}$

Sachin Rao

Numerade Educator

Problem 1130

Heat capacity of a body depends on the $\ldots \ldots \ldots .$ as well as on $\ldots \ldots \ldots$
(A) material of the body, its mass
(B) material of the body, its temperature
(C) mass of the body, its temperature
(D) Volume of the body, its mass

Sachin Rao

Numerade Educator

Problem 1131

In thermodynamics, the work done by the system is considered $\ldots \ldots \ldots$ and the work done on the system is Considered $\ldots \ldots \ldots .$
(A) Positive, zero
(B) negative, Positive
(C) zero, negative
(D) Positive, negative

Sachin Rao

Numerade Educator

Problem 1132

A thermodynamic system goes from States (i) $\mathrm{P}, \mathrm{V}$ to $2 \mathrm{P}, \mathrm{V}$
(ii) $\mathrm{P}, \mathrm{V}$ to $\mathrm{P}, 2 \mathrm{~V}$. Then what is work done in the two Cases.
(A) Zero, PV
(B) Zero, Zero
(C) PV, Zero
(D) PV, PV

Sachin Rao

Numerade Educator

Problem 1133

For free expansion of the gas which of the following is true ?
(A) $\mathrm{Q}=0, \mathrm{~W}>0$ and $\mu \operatorname{Eint}=-\mathrm{W}$
(B) $\mathrm{W}=0, \mathrm{Q}>0$ and $\Delta$ Eint $=\mathrm{Q}$
(C) $\mathrm{W}>0, \mathrm{Q}<0$ and $\Delta$ Eint $=0$
(D) $\mathrm{Q}=\mathrm{W}=0$ and $\Delta \operatorname{Eint}=0$

Sachin Rao

Numerade Educator

Problem 1134

For an adiabatic process involving an ideal gas
(A) $\mathrm{P}^{\gamma-1}=\mathrm{T}^{\gamma-1}=$ constant
(B) $\mathrm{P}^{1-\gamma}=\mathrm{T}^{\gamma}=$ constant
(C) $\mathrm{PT}^{\gamma-1}=$ constant
(D) $\mathrm{P}^{\gamma-1}=\mathrm{T}^{\gamma}=$ constant

Sachin Rao

Numerade Educator

Problem 1135

Figure shows four $\mathrm{P} \rightarrow \mathrm{V}$ diagrams. Which of these curves represent. Isothermal and adiabatic processes?
(A) $\mathrm{A}$ and $\mathrm{C}$
(B) $\mathrm{A}$ and $\mathrm{B}$
(C) $\mathrm{C}$ and $\mathrm{D}$
(D) B and D

Sachin Rao

Numerade Educator

Problem 1136

An ideal gas is taken through cyclic process as shown in the figure. The net work done by the gas is
(A) PV
(B) $2 \mathrm{PV}$
(C) $3 \mathrm{PV}$
(D) zero

Sachin Rao

Numerade Educator

Problem 1137

$\mu$ moles of gas expands from volume $\mathrm{V}_{1}$ to $\mathrm{V}_{2}$ at constant temperature $\mathrm{T}$. The work done by the gas is
(A) $\mu \mathrm{RT}\left\{\mathrm{V}_{2} / \mathrm{V}_{1}\right\}$
(B) $\mu \operatorname{RTln}\left\{\mathrm{V}_{2} / \mathrm{V}_{1}\right\}$
(C) $\mu \mathrm{RT}\left\{\left(\mathrm{V}_{\mathrm{v}} / \mathrm{V}_{1}\right)-1\right\}$
(D) $\mu \operatorname{RTln}\left\{\left(\mathrm{V}_{2} / \mathrm{V}_{1}\right)\right.$

Sachin Rao

Numerade Educator

Problem 1138

A Cyclic Process $\mathrm{ABCD}$ is shown in the $\mathrm{P} \rightarrow \mathrm{V}$ diagram. which of the following curves represent the same Process?

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1139

A Cyclic process is Shown in the $\mathrm{P} \rightarrow \mathrm{T}$ diagram. Which of the curve show the same process on a $\mathrm{V} \rightarrow \mathrm{T}$ diagram?

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1140

One mole of an ideal gas $\left(\mathrm{C}_{\mathrm{p}} / \mathrm{C}_{\mathrm{v}}\right)=\gamma$ at absolute temperature $\mathrm{T}_{1}$ is adiabatically compressed from an initial pressure $\mathrm{P}_{1}$ to a final pressure $\mathrm{P}_{2}$ The resulting temperature $\mathrm{T}_{2}$ of the gas is given by.
(A) $\mathrm{T}_{2}=\mathrm{T}_{1}\left\{\mathrm{p}_{2} / \mathrm{p}_{1}\right\}^{\{\gamma /(\gamma-1)\}}$
(B) $\mathrm{T}_{2}=\mathrm{T}_{1}\left\{\mathrm{p}_{2} / \mathrm{p}_{1}\right\}^{\{(\gamma-1) / \gamma\}}$
(C) $\mathrm{T}_{2}=\mathrm{T}_{1}\left\{\mathrm{p}_{2} / \mathrm{p}_{1}\right\}^{\gamma}$
(D) $\mathrm{T}_{2}=\mathrm{T}_{1}\left(\mathrm{p}_{2} / \mathrm{p}_{1}\right)^{\gamma-1}$

Sachin Rao

Numerade Educator

Problem 1141

A n ideal gas is taken through the cycle $\mathrm{A} \rightarrow \mathrm{B} \rightarrow \mathrm{C} \rightarrow \mathrm{A}$ as
shown in the figure. If the net heat supplied to the gas in the cycle is $5 \mathrm{~J}$, the work done by the gas in the process $\mathrm{C} \rightarrow \mathrm{A}$ is

Sachin Rao

Numerade Educator

Problem 1142

In an isothermal reversible expansion, if the volume of $96 \mathrm{~J}$ of oxygen at $27^{\circ} \mathrm{C}$ is increased from 70 liter to 140 liter, then the work done by the gas will be
(A) $300 \mathrm{R} \log _{\mathrm{e}}^{(2)}$
(B) $81 \mathrm{R} \log _{\mathrm{e}}^{(2)}$
(C) $2.3 \times 900 \mathrm{R} \log _{10} 2$
(D) $100 \mathrm{R} \log _{10}^{(2)}$

Sachin Rao

Numerade Educator

Problem 1143

For an isothermal expansion of a Perfect gas, the value of $(\Delta \mathrm{P} / \mathrm{P})$ is equal to
(A) $-\gamma^{(1 / 2)}\{(\Delta \mathrm{V}) / \mathrm{V}\}$
(B) $-\gamma\{(\Delta \mathrm{V}) / \mathrm{V}\}$
(C) $-\gamma^{2}\{(\Delta \mathrm{V}) / \mathrm{V}\}$
$(\mathrm{D})-(\Delta \mathrm{V} / \mathrm{V})$

Sachin Rao

Numerade Educator

Problem 1144

For an adiabatic expansion of a perfect gas, the value of $\{(\Delta \mathrm{P}) / \mathrm{P}\}$ is equal to
(A) $-\sqrt{\gamma}\{(\Delta \mathrm{r}) / \mathrm{v}\}$
(B) $-\{(\Delta \mathrm{v}) / \mathrm{v}\}$
(C) $-\gamma^{2}\{(\Delta \mathrm{v}) / \mathrm{v}\}$
(D) $-\gamma\{(\Delta \mathrm{v}) / \mathrm{v}\}$

Sachin Rao

Numerade Educator

Problem 1145

If $r$ denotes the ratio of adiabatic of two specific heats of a gas. Then what is the ratio of slope of an adiabatic and isothermal $\mathrm{P} \rightarrow \mathrm{V}$ curves at their point of intersection ?
(A) $(1 / \gamma)$
(B) $\gamma-1$
(C) $\gamma$
(D) $\gamma+1$

Sachin Rao

Numerade Educator

Problem 1146

Work done per mole in an isothermal ? change is
(A) RT log $_{e}\left(\mathrm{v}_{2} / \mathrm{v}_{1}\right)$
(B) $\mathrm{RT} \log _{10}\left(\mathrm{v}_{2} / \mathrm{v}_{1}\right)$
(C) RT $\log _{10}\left(\mathrm{v}_{1} / \mathrm{v}_{2}\right)$
(D) RT $\log _{\mathrm{e}}\left(\mathrm{v}_{1} / \mathrm{v}_{2}\right)$

Sachin Rao

Numerade Educator

Problem 1147

The isothermal Bulk modulus of an ideal gas at pressure $\mathrm{P}$ is
(A) $\mathrm{vP}$
(B) $\mathrm{P}$
(C) $(\mathrm{p} / 2)$
(D) $(\mathrm{p} / \mathrm{v})$

Sachin Rao

Numerade Educator

Problem 1148

The isothermal bulk modulus of a perfect gas at a normal Pressure is
(A) $1.013 \times 10^{6}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(B) $1.013 \times 10^{-10}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(C) $1.013 \times 10^{5}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(D) $1.013 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$

Sachin Rao

Numerade Educator

Problem 1149

An adiabatic Bulk modulus of an ideal gas at Pressure $\mathrm{P}$ is
(A) $\gamma \mathrm{P}$
(B) $(\mathrm{p} / \gamma)$
(C) $\mathrm{P}$
(D) $(\mathrm{p} / 2)$

Sachin Rao

Numerade Educator

Problem 1150

What is an adiabatic Bulk modulus of hydrogen gas at NTP?
(A) $1.4\left(\mathrm{~N} / \mathrm{M}^{2}\right)$
(B) $1.4 \times 10^{5}\left(\mathrm{~N} / \mathrm{M}^{2}\right)$
(C) $1 \times 10^{-8}\left(\mathrm{~N} / \mathrm{M}^{2}\right)$
(D) $1 \times 10^{5}\left(\mathrm{~N} / \mathrm{M}^{2}\right)$

Sachin Rao

Numerade Educator

Problem 1151

If a quantity of heat $1163.4 \mathrm{~J}$ is supplied to one mole of nitrogen gas, at room temperature at constant pressure, then the rise in temperature is $\mathrm{R}=8.31\{\mathrm{~J} /(\mathrm{m} \cdot 1 . \mathrm{k})\}$
(A) $28 \mathrm{~K}$
(B) $65 \mathrm{~K}$
(C) $54 \mathrm{~K}$
(D) $40 \mathrm{~K}$

Sachin Rao

Numerade Educator

Problem 1152

One mole of $\mathrm{O}_{2}$ gas having a Volume equal to $22.4$ liter at $\mathrm{O}$ $c$ and 1 atmospheric Pressure is Compressed isothermally so that its volume reduces to $11.2$ liters. The work done in this Process is
(A) $1672.4 \mathrm{~J}$ (B) $-1728 \mathrm{~J}$
(C) $1728 \mathrm{~J}$
(D) $-1572.4 \mathrm{~J}$

Sachin Rao

Numerade Educator

Problem 1153

The Specific heat of a gas in an isothermal Process is
(A) zero
(B) Negative (C) Infinite
(D) Remairs

Sachin Rao

Numerade Educator

Problem 1154

A Container that suits the occurrence of an isothermal process should be made of
(A) Wood
(B) Copper
(C) glass
(D) Cloth

Sachin Rao

Numerade Educator

Problem 1155

A thermodynamic Process in which temperature $\mathrm{T}$ of the system remains constant throughout Variable $\mathrm{P}$ and $\mathrm{V}$ may Change is called
(A) Isothermal Process
(B) Isochoric Process
(C) Isobasic Process
(D) None of this

Sachin Rao

Numerade Educator

Problem 1156

When $1 \mathrm{~g}$ of waters $\mathrm{O}^{\circ} \mathrm{c}$ and $10^{\circ}\left(\mathrm{N} / \mathrm{m}^{2}\right)$ Pressure is Converted into ice of Volume $1.091 \mathrm{~cm}^{3}$ the external work done be $\ldots \ldots \ldots$ J.
(A) $0.0182$
(B) $-0.0091$
(C) $-0.0182$
(D) $0.0091$

Sachin Rao

Numerade Educator

Problem 1157

The latent heat of Vaporization of water is $2240(\mathrm{~J} / \mathrm{g})$ If the work done in the Process of expansion of $1 \mathrm{~g}$ is $168 \mathrm{~J}$. then increase in internal energy is ......... J
(A) 2072
(B) 2408
(C) 2240
(D) 1904

Sachin Rao

Numerade Educator

Problem 1158

The Volume of an ideal gas is 1 liter column and its Pressure is equal to $72 \mathrm{~cm}$ of $\mathrm{Hg}$. The Volume of gas is made 900 $\mathrm{cm}^{3}$ by compressing it isothermally. The stress of the gas will be $\ldots \ldots \ldots \ldots .$ Hg column.
(A) $4 \mathrm{~cm}$
(B) $6 \mathrm{~cm}$
(C) $7 \mathrm{~cm}$
(D) $8 \mathrm{~cm}$

Sachin Rao

Numerade Educator

Problem 1159

In adiabatic expansion
(A) $\Delta \mathrm{u}=0$
(B) $\Delta \mathrm{u}=$ Positive
(C) $\mathrm{Ju}=$ Negative
(D) $\Delta \mathrm{w}=0$

Sachin Rao

Numerade Educator

Problem 1160

$1 \mathrm{~mm}^{3}$ Of a gas is compressed at 1 atmospheric pressure and temperature $27^{\circ} \mathrm{C}$ to $627^{\circ} \mathrm{C}$ What is the final pressure under adiabatic condition. $\mathrm{r}=1.5$
(A) $80 \times 10^{5}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(B) $36 \times 10^{5}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(C) $56 \times 10^{5}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(D) $27 \times 10^{5}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$

Sachin Rao

Numerade Educator

Problem 1161

A monoatomic gas for it $\gamma=(573)$ is suddenly Compressed to $(1 / 8)$ of its original volume adiabatically then the final Pressure of gas is ........... times its initial Pressure.
(A) 8
(B) 32
(C) $(24 / 5)$
(D) $(40 / 3)$

Sachin Rao

Numerade Educator

Problem 1162

The Pressure and density of a diatomic gas $\gamma=(7 / 5)$ Change adiabatically from $(\mathrm{P}, \mathrm{d})$ to $\left(\mathrm{P}^{1}, \mathrm{~d}^{1}\right)$ If $\left(\mathrm{d}^{\prime} / \mathrm{d}\right)=32$
then $\left(p^{\prime} / p\right)$ Should be
(A) 128
(B) $\{1 /(128)\}$
(C) 32
(D) None of this

Sachin Rao

Numerade Educator

Problem 1163

An ideal gas at $27 \mathrm{C}$ is Compressed adiabatically, to $\{8 / 27\}$ of its original Volume. If $\mathrm{v}=(5 / 3)$, then the rise in temperature is
(A) $225 \mathrm{k}$
(B) $450 \mathrm{~K}$
(C) $375 \mathrm{~K}$
(D) $405 \mathrm{~K}$

Sachin Rao

Numerade Educator

Problem 1164

A diatomic gas initially at $18^{\circ} \mathrm{C}$ is Compressed adiabatically to one eighth of its original volume. The temperature after Compression will be
(A) $10^{\circ} \mathrm{C}$
(B) $668 \mathrm{~K}$
(C) $887^{\circ} \mathrm{C}$
(D) $144^{\circ} \mathrm{C}$

Sachin Rao

Numerade Educator

Problem 1165

Work done by $0.1$ mole of a gas at $27^{\circ} \mathrm{C}$ to double its volume at constant Pressure is $\quad$ Cal. $R=2\left\{(\mathrm{Cal}) /\left(\mathrm{mol}^{\circ} \mathrm{K}\right)\right\}$
(A) 600
(B) 546
(C) 60
(D) 54

Sachin Rao

Numerade Educator

Problem 1166

A gas expands $0.25 \mathrm{~m}^{3}$ at Constant Pressure $10^{3}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$ the work done is
(A) $250 \mathrm{~J}$
(B) $2.5$ erg
(C) $250 \mathrm{~W}$
(D) $250 \mathrm{~N}$

Sachin Rao

Numerade Educator

Problem 1167

In an isochoric Process $\mathrm{T}_{1}=27^{\circ} \mathrm{C}$ and $\mathrm{T}_{2}=127^{\circ} \mathrm{C}$ then $\left(\mathrm{P}_{1} / \mathrm{P}_{2}\right)$ will be equal to
(A) $(9 / 59)$
(B) $(2 / 3)$
(C) $(4 / 3)$
(D) $(3 / 4)$

Sachin Rao

Numerade Educator

Problem 1168

If the temperature of 1 mole of ideal gas is changed from $\mathrm{O} \mathrm{C}$ to $100 \mathrm{C}$ at constant pressure, then work done in the process is $\ldots \ldots \ldots . .$. J. $\mathrm{R}=8.3\{\mathrm{~J} /($ mole $)\}$
(A) $8.3 \times 10^{-3}$
(B) $8.3 \times 10^{2}$
(C) $8.3 \times 10^{-2}$
(D) $8.3 \times 10^{3}$

Sachin Rao

Numerade Educator

Problem 1169

A mono atomic gas is supplied the heat Q very slowly keeping the pressure constant The work done by the gas.
(A) $(2 / 5) \mathrm{Q}$
(B) $(2 / 3) \mathrm{Q}$
(C) $(3 / 5) \mathrm{O}$
(D) $(1 / 5) \mathrm{O}$

Sachin Rao

Numerade Educator

Problem 1170

The Volume of air increases by $5 \%$ in an adiabatic expansion. The percentage decrease in its Pressure will be
(A) $5 \%$
(B) $6 \%$
(C) $7 \%$
(D) $8 \%$

Sachin Rao

Numerade Educator

Problem 1171

In $\mathrm{P} \rightarrow \mathrm{V}$ diagram given below, the isochoric, isothermal and isobaric path respectively are
(A) $\mathrm{BA}, \mathrm{AD}, \mathrm{DC}$
(B) $\mathrm{DC}, \mathrm{CB}, \mathrm{BA}$
(C) $A B B C=C D$
(D) CA $D A A B$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1172

In the following indicators diagram, the net amount of work done will be
(A) Negative
(B) zero
(C) Positive
(D) Infinity

Sachin Rao

Numerade Educator

Problem 1173

Work done in the given $\mathrm{P} \rightarrow \mathrm{V}$ diagram in the cyclic process is
(A) $4 \mathrm{PV}$
(B) $3 \mathrm{PV}$
(C) $2 \mathrm{PV}$
(D) $\{\mathrm{PV} / 2\}$

Sachin Rao

Numerade Educator

Problem 1174

In the Cyclic Process shown is the figure, the work done by the gas in one cycle
(A) $40 \mathrm{P}_{1} \mathrm{~V}_{1}$
(B) $20 \mathrm{P}_{1} \mathrm{~V}_{1}$
(C) $10 \mathrm{P}_{1} \mathrm{~V}_{1}$
(D) $5 \mathrm{P}_{1} \mathrm{~V}_{1}$

Sachin Rao

Numerade Educator

Problem 1175

An ideal gas is taken $\mathrm{V}$ path ACBA as Shown in figure, The net work done in the whole cycle is
(A) $-3 \mathrm{P}_{1} \mathrm{~V}_{1}$
(B) Zero
(C) $5 \mathrm{P}_{1} \mathrm{~V}_{1}$
(D) $3 \mathrm{P}_{1} \mathrm{~V}_{1}$

Sachin Rao

Numerade Educator

Problem 1176

A thermodynamic system is taken from state $\mathrm{A}$ to $\mathrm{B}$ along $\mathrm{ACB}$ and is brought back to $\mathrm{A}$ along $\mathrm{BDA}$ as Shown in the $\mathrm{P} \rightarrow \mathrm{V}$ diagram. The net work done during the complete cycle is given by the area.
(A) $\mathrm{P}_{1} \mathrm{ACBP}_{2} \mathrm{P}_{1}$
(B) $\mathrm{ACBDA}$
(C) $\mathrm{ACBB}^{1} \mathrm{~A}^{1}$
(D) $\mathrm{ADBB}^{1} \mathrm{~A}^{1} \mathrm{~A}$

Sachin Rao

Numerade Educator

Problem 1177

Two identical samples of a gas are allowed to expand (i) isothermally (ii) adiabatically work done is
(A) more in an isothermal process
(B) more in an adiabatic process
(C) equal in both process.
(D) neither of them

Sachin Rao

Numerade Educator

Problem 1178

What is the relationship Pressure and temperature for an ideal gas undergoing adiabatic Change.
(A) $\mathrm{PT}^{\gamma}=$ Const
(B) $\mathrm{PT}^{-1+\gamma}=$ Const
(C) $\mathrm{P}^{1-\gamma} \mathrm{T}^{\gamma}=$ Const
(D) $\mathrm{P}^{\gamma-1} \mathrm{~T}^{\gamma}=$ Const

Sachin Rao

Numerade Educator

Problem 1179

For adiabatic Process which relation is true mentioned below ? $\gamma=\left\{\mathrm{C}_{\mathrm{p}} / \mathrm{C}_{\mathrm{v}}\right\}$
(A) $\mathrm{p}^{\gamma} \mathrm{V}=\mathrm{Const}$
(B) $\mathrm{T}^{\gamma} \mathrm{V}=\mathrm{Const}$
(C) TV $^{\gamma}=$ Const
(D) $\mathrm{TV}^{\gamma-1}=$ Const

Sachin Rao

Numerade Educator

Problem 1180

For adiabatic Process which one is wrong statement?
(A) $\mathrm{dQ}=0$
(B) entropy is not constant
(C) $\mathrm{du}=-\mathrm{dw}$
(D) $Q=$ constant

Sachin Rao

Numerade Educator

Problem 1181

Air is filled in a motor tube at $27^{\circ} \mathrm{C}$ and at a Pressure of 8 atmosphere. The tube suddenly bursts. Then what is the temperature of air. given $\gamma$ of air $=1.5$
(A) $150 \mathrm{~K}$
(B) $150^{\circ} \mathrm{C}$
(C) $75 \mathrm{~K}$
(D) $27.5^{\circ} \mathrm{C}$

Sachin Rao

Numerade Educator

Problem 1182

If $\gamma$ is the ratio of Specific heats and $\mathrm{R}$ is the universal gas constant, then the molar Specific heat at constant Volume $\mathrm{Cv}$ is given by
(A) $\{(\gamma \mathrm{R}) /(\mathrm{v}-1)\}$
(B) $\gamma \mathrm{R}$
(C) $\{\mathrm{R} /(\gamma-1)\}$
(D) $[\{(\gamma-1) \mathrm{R}\} / \mathrm{r}]$

Sachin Rao

Numerade Educator

Problem 1183

A Carnot engine operating between temperature $\mathrm{T}_{1}$ and $\mathrm{T}_{2}$ has efficiency $0.4$, when $\mathrm{T}_{2}$ lowered by $50 \mathrm{~K}$, its efficiency increases to $0.5$. Then $\mathrm{T}_{1}$ and $\mathrm{T}_{2}$ are respectively.
(A) $300 \mathrm{~K}$ and $100 \mathrm{~K}$
(B) $400 \mathrm{~K}$ and $200 \mathrm{~K}$
(C) $600 \mathrm{~K}$ and $400 \mathrm{~K}$
(D) $500 \mathrm{~K}$ and $300 \mathrm{~K}$

Sachin Rao

Numerade Educator

Problem 1184

A monoatomic gas is used in a Carnot engine as the working substance, If during the adiabatic expansion part of the cycle the volume of the gas increases from $\mathrm{V}$ to $8 \mathrm{~V}_{1}$ the efficiency of the engine is..
(A) $60 \%$
(B) $50 \%$
(C) $75 \%$
(D) $25 \%$

Sachin Rao

Numerade Educator

Problem 1185

A System under goes a Cyclic Process in which it absorbs $\mathrm{Q}_{1}$ heat and gives out $\mathrm{Q}_{2}$ heat. The efficiency of the Process
$\eta$ and the work done is $\mathrm{W}$. Which formula is wrong ? is
(A) $\mathrm{W}=\mathrm{Q}_{1}-\mathrm{Q}_{2}$
(B) $\eta=\left(\mathrm{Q}_{2} / \mathrm{Q}_{1}\right)$
(C) $\eta=\left(\mathrm{W} / \mathrm{Q}_{1}\right)$
(D) $\eta=1-\left(\mathrm{Q}_{2} / \mathrm{Q}_{1}\right)$

Sachin Rao

Numerade Educator

Problem 1186

A carnot's engine whose sink is at a temperature of $300 \mathrm{~K}$ has an efficiency of $40 \%$ By what amount should the temperature of the source change to increase the efficiency to $60 \%$
(A) $275 \mathrm{~K}$
(B) $325 \mathrm{~K}$
(C) $300 \mathrm{~K}$
(D) $250 \mathrm{~K}$

Sachin Rao

Numerade Educator

Problem 1187

An ideal gas heat engine is operating between $227^{\circ} \mathrm{C}$ and $127^{\circ} \mathrm{C}$. It absorbs $10^{4} \mathrm{~J}$ Of heat at the higher temperature. The amount of heat Converted into. work is $\ldots \ldots$ J.
(A)2000
(B) 4000
(C) 5600
(D) 8000

Sachin Rao

Numerade Educator

Problem 1188

Efficiency of a Carnot engine is $50 \%$, when temperature of outlet is $500 \mathrm{~K}$. in order to increase efficiency up to $60 \%$ keeping temperature of intake the same what is temperature of out let.
(A) $200 \mathrm{~K}$
(B) $400 \mathrm{~K}$
(C) $600 \mathrm{~K}$
(D) $800 \mathrm{~K}$

Sachin Rao

Numerade Educator

Problem 1189

A Carnot engine takes $3 \times 10^{6}$ cal of heat from a reservoir at $627^{\circ} \mathrm{C}$, and gives to a sink at $27^{\circ} \mathrm{C}$. The work done by the engine is
(A) $4.2 \times 10^{6} \mathrm{~J}$
(B) $16.8 \times 10^{6} \mathrm{~J}$
(C) $8.4 \times 10^{6} \mathrm{~J}$
(D) Zero

Sachin Rao

Numerade Educator

Problem 1190

For which combination of working temperatures the efficiency of Carnot's engine is highest.
(A) $80 \mathrm{~K}, 60 \mathrm{~K}$
(B) $100 \mathrm{~K}, 80 \mathrm{~K}$
(C) $60 \mathrm{~K}, 40 \mathrm{~K}$
(D) $40 \mathrm{~K}, 20 \mathrm{~K}$

Sachin Rao

Numerade Educator

Problem 1191

An ideal heat engine working between temperature $\mathrm{T}_{1}$ and $\mathrm{T}_{2}$ has an efficiency $\eta$. The new efficiency if both the source and sink temperature are doubled, will be
(A) $\eta$
(B) $2 \eta$
(C) $3 \eta$
(D) $(\eta / 2)$

Sachin Rao

Numerade Educator

Problem 1192

An ideal refrigerator has a freezer at a temperature of $-13$ C, The coefficient of performance of the engine is 5 . The temperature of the air to which heat is rejected will be.
(A) $325^{\circ} \mathrm{C}$
(B) $39^{\circ} \mathrm{C}$
(C) $325 \mathrm{~K}$
(D) $320^{\circ} \mathrm{C}$

Sachin Rao

Numerade Educator

Problem 1193

An engine is supposed to operate between two reservoirs at temperature $727^{\circ} \mathrm{C}$ and $227^{\circ} \mathrm{C}$. The maximum possible efficiency of such an engine is
(A) $(3 / 4)$
(B) $(1 / 4)$
(C) $(1 / 2)$
(D) 1

Sachin Rao

Numerade Educator

Problem 1194

A Carnot engine Converts one sixth of the heat input into work. When the temperature of the sink is reduced by $62^{\circ} \mathrm{C}$ the efficiency of the engine is doubled. The temperature of the source and sink are
(A) $80^{\circ} \mathrm{C}, 37^{\circ} \mathrm{C}$
(B) $95^{\circ} \mathrm{C}, 28^{\circ} \mathrm{C}$
(C) $90^{\circ} \mathrm{C}, 37^{\circ} \mathrm{C}$
(D) $99^{\circ} \mathrm{C}, 37^{\circ} \mathrm{C}$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1195

Carnot engine working between $300 \mathrm{~K}$ and $600 \mathrm{~K}$ has work output of $800 \mathrm{~J}$ per cycle. What is amount of heat energy supplied to the engine from source per cycle
(A) $1600\{\mathrm{~J} /$ (cycle)\}
(B) $2000\{\mathrm{~J} /(\mathrm{cycle})\}$
(C) $1000\{\mathrm{~J} /($ cycle $)\}$
(D) $1800\{\mathrm{~J} /($ cycle $)\}$

Sachin Rao

Numerade Educator

Problem 1196

What is the value of sink temperature when efficiency of engine is $100 \%$
(A) $300 \mathrm{~K}$
(B) $273 \mathrm{~K}$
(C) $0 \mathrm{~K}$
(D) $400 \mathrm{~K}$

Sachin Rao

Numerade Educator

Problem 1197

A Carnot engine having a efficiency of $\mathrm{n}=(1 / 10)$ as heat engine is used as a refrigerators. if the work done on the system is $10 \mathrm{~J}$. What is the amount of energy absorbed from the reservoir at lowest temperature !
(A) $1 \mathrm{~J}$
(B) $90 \mathrm{~J}$
(C) $99 \mathrm{~J}$
(D) $100 \mathrm{~J}$

Sachin Rao

Numerade Educator

Problem 1198

The temperature of sink of Carnot engine is $27^{\circ} \mathrm{C}$. Efficiency of engine is $25 \%$ Then find the temperature of source.
(A) $227^{\circ} \mathrm{C}$
(B) $327^{\circ} \mathrm{C}$
(C) $27^{\circ} \mathrm{C}$
(D) $127^{\circ} \mathrm{C}$

Sachin Rao

Numerade Educator

Problem 1199

The efficiency of Carnot's engine operating between reservoirs, maintained at temperature $27^{\circ} \mathrm{C}$ and $-123^{\circ} \mathrm{C}$ is
(A) $0.5$
(B) $0.4$
(C) $0.6$
(D) $0.25$

Sachin Rao

Numerade Educator

Problem 1200

If a heat engine absorbs $50 \mathrm{KJ}$ heat from a heat source and has efficiency of $40 \%$, then the heat released by it in heat sink is
(A) $40 \mathrm{KJ}$
(B) $30 \mathrm{KJ}$
(C) $20 \mathrm{~J}$
(D) $20 \mathrm{KJ}$

Sachin Rao

Numerade Educator

Problem 1201

The efficiency of heat engine is $30 \%$ If it gives $30 \mathrm{KJ}$ heat to the heat sink, than it should have absorbed ....... KJ heat from heat source.
(A) $42.8$
(B) 39
(C) 29
(D) 9

Sachin Rao

Numerade Educator

Problem 1202

If a heat engine absorbs $2 \mathrm{KJ}$ heat from a heat source and release $1.5 \mathrm{KJ}$ heat into cold reservoir, then its efficiency is
(A) $0.5 \%$
(B) $75 \%$
(C) $25 \%$
(D) $50 \%$

Sachin Rao

Numerade Educator

Problem 1203

If the doors of a refrigerator is kept open, then which of the following is true?
(A) Room is cooled
(B) Room is either cooled or heated
(B) Room is neither cooled nor heated
(D) Room is heated

Sachin Rao

Numerade Educator

Problem 1204

Instructions:Read the assertion and reason carefully to mask the correct option out of the options given below.
(A) If both assertion and reason are true and the reason is the correct explanation of the assertion.
(B) If both assertion and reason are true but reason is not be correct explanation of assertion.
(C) If assertion is true but reason is false.
(D) If the assertion and reason both are false.
Assertion: The melting point of ice decreases with increase of Pressure Reason: Ice contracts on melting.
(A) $\mathrm{C}$
(B) $\mathrm{B}$
(C) $\mathrm{A}$
(D) D

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1205

Instructions:Read the assertion and reason carefully to mask the correct option out of the options given below.
(A) If both assertion and reason are true and the reason is the correct explanation of the assertion.
(B) If both assertion and reason are true but reason is not be correct explanation of assertion.
(C) If assertion is true but reason is false.
(D) If the assertion and reason both are false.
Assertion: Fahrenheit is the smallest unit measuring temperature. Reason: Fahrenheit was the first temperature scale used for measuring temperature.
(A) A
(B) C
(C) B
(D) D

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1206

Instructions :Read the assertion and reason carefully to mask the correct option out of the options given below.
(A) If both assertion and reason are true and the reason is the correct explanation of the assertion.
(B) If both assertion and reason are true but reason is not be correct explanation of assertion.
(C) If assertion is true but reason is false.
(D) If the assertion and reason both are false.
Assertion : A beakers is completely, filled with water at $4^{\circ} \mathrm{C}$. It will overflow, both when heated or cooled. Reason: These is expansion of water below $4^{\circ} \mathrm{C}$
(A) $\mathrm{A}$
(B) B
(C) C
(D) D

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1207

Instructions:Read the assertion and reason carefully to mask the correct option out of the options given below.
(A) If both assertion and reason are true and the reason is the correct explanation of the assertion.
(B) If both assertion and reason are true but reason is not be correct explanation of assertion.
(C) If assertion is true but reason is false.
(D) If the assertion and reason both are false.
Assertion: The total translation kinetic energy of all the molecules of a given mass of an ideal gas is $1.5$ times the product of its Pressure and its volume. Reason: The molecules of a gas collide with each other and velocities of the molecules change due to the collision
(A) D
(B) $\mathrm{C}$
(C) A
(D) B

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1208

Instructions:Read the assertion and reason carefully to mask the correct option out of the options given below.
(A) If both assertion and reason are true and the reason is the correct explanation of the assertion.
(B) If both assertion and reason are true but reason is not be correct explanation of assertion.
(C) If assertion is true but reason is false.
(D) If the assertion and reason both are false.
Assertion: The carnot is useful in understanding the performance of heat engine Reason: The carnot cycle provides a way of determining the maximum possible efficiency achievable with reservoirs of given temperatures.
(A) $\mathrm{A}$
(B) B
(C) $\mathrm{C}$
(D) $\mathrm{D}$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1209

Heat given to process is positive, match the following column I with the corresponding option of column
Colum-i $\quad$ Colum-ii
(A) JK
(p) $\Delta \mathrm{W}>0$
(B) $\mathrm{KL}$
(q) $\Delta Q<0$
(C) LM
(r) $\Delta \mathrm{W}<0$
(D) MJ
(s) $\Delta Q>0$
(A) A-p, B-q, C-r, D-s
(B) $\mathrm{A}-\mathrm{q}, \mathrm{B}-\mathrm{p}, \mathrm{C}-\mathrm{s}, \mathrm{D}-\mathrm{r}$
(C) $\mathrm{A}-\mathrm{r}, \mathrm{B}-\mathrm{s}, \mathrm{C}-\mathrm{p}, \mathrm{D}-\mathrm{q}$
(D) $\mathrm{A}-\mathrm{s}, \mathrm{B}-\mathrm{r}, \mathrm{C}-\mathrm{q}, \mathrm{D}-\mathrm{p}$

Sachin Rao

Numerade Educator

Problem 1210

In Column I different Process is given match corresponding option of column $\mathrm{I}_{1}$ Column - I Columm - II
(A) adiabatic process
(p) $\Delta \mathrm{p}=0$
(B) Isobaric process
(q) $\Delta \mathrm{u}=0$
(C) Isochroic process
(r) $\Delta Q=0$
(D) Isothermal process
(s) $\Delta \mathrm{W}=0$
(A) A-p, B-s, C-r, D-q
(B) (B) A-s, B-q, C-p, D-r
(C) $\mathrm{A}-\mathrm{r}, \mathrm{B}-\mathrm{p}, \mathrm{C}-\mathrm{s}, \mathrm{D}-\mathrm{q}$
(D) $\mathrm{A}-\mathrm{q}, \mathrm{B}-\mathrm{r}, \mathrm{C}-\mathrm{q}, \mathrm{D}-\mathrm{p}$

Sachin Rao

Numerade Educator

Problem 1211

In a container of negligible heat capacity, $200 \mathrm{~g}$ ice at $0^{\circ} \mathrm{C}$ and $100 \mathrm{~g}$ steam at $100^{\circ} \mathrm{C}$ are added to $200 \mathrm{~g}$ of water that has temperature $55^{\circ} \mathrm{C}$. Assume no heat is lost to the surroundings and the pressure in the container is constant atm. What is the final temperature the System?
(A) $72^{\circ} \mathrm{C}$
(B) $48^{\circ} \mathrm{C}$
(C) $100^{\circ} \mathrm{C}$
(D) $94^{\circ} \mathrm{C}$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1212

In a container of negligible heat capacity, 200 g ice at $0^{\circ} \mathrm{C}$ and $100 \mathrm{~g}$ steam at $100^{\circ} \mathrm{C}$ are added to $200 \mathrm{~g}$ of water that has temperature $55^{\circ} \mathrm{C}$. Assume no heat is lost to the surroundings and the pressure in the container is constant $1 \mathrm{~atm}$.
At the final temperature, mass of the total water present in the system is
(A) $493.6 \mathrm{~g}$
(B) $483.3 \mathrm{~g}$
(C) $472.6 \mathrm{~g}$
(D) $500 \mathrm{~g}$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1213

In a container of negligible heat capacity, $200 \mathrm{~g}$ ice at $0^{\circ} \mathrm{C}$ and $100 \mathrm{~g}$ steam at $100^{\circ} \mathrm{C}$ are added to $200 \mathrm{~g}$ of water that has temperature $55^{\circ} \mathrm{C}$. Assume no heat is lost to the surroundings and the pressure in the container is constant $1 \mathrm{~atm} .$
Amount of the Sm left in the system, is equal to
(A) $16.7 \mathrm{~g}$
(B) $8.4 \mathrm{~g}$
(C) $12 \mathrm{~g}$
(D) $0 \mathrm{~g}$
Copyright () StemEZ.com. All rights reserved.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator