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Lehninger Principles of Biochemistry

David L. Nelson, Michael M. Cox

Chapter 2

Water - all with Video Answers

Educators


Chapter Questions

06:11

Problem 1

If the ATP-binding site of an enzyme is buried in the interior of the enzyme, in a hydrophobic environment, is the ionic interaction between enzyme and substrate stronger or weaker than that same interaction would be on the surface of the enzyme, exposed to water? Why?

Prashant Bana
Prashant Bana
Numerade Educator
02:45

Problem 2

The interactions between biomolecules are often stabilized by weak interactions such as hydrogen bonds. How might this be an advantage to the organism?

Shazia Naz
Shazia Naz
Numerade Educator
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Problem 3

Explain why ethanol (CH $_{3} \mathrm{CH}_{2} \mathrm{OH}$ ) is more soluble in water than is ethane $\left(\mathrm{CH}_{3} \mathrm{CH}_{3}\right)$

Nicole Basile
Nicole Basile
Numerade Educator
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Problem 4

What is the pH of a solution that has an $\mathrm{H}^{+}$ concentration of
(a) $1.75 \times 10^{-5} \mathrm{mol} / \mathrm{L}$
(b) $6.50 \times 10^{-10} \mathrm{mol} / \mathrm{L}$
(c) $1.0 x$ $10^{-4} \mathrm{mol} / \mathrm{L} ;(\mathrm{d}) 1.50 \times 10^{-5} \mathrm{mol} / \mathrm{L} ?$

JP
Jamie Parker
Numerade Educator
01:51

Problem 5

What is the $\mathrm{H}^{+}$ concentration of a solution with $\mathrm{pH}$ of $(\mathrm{a}) 3.82 ;(\mathrm{b}) 6.52 ;(\mathrm{c}) 11.11 ?$

Lottie Adams
Lottie Adams
Numerade Educator
01:48

Problem 6

In a hospital laboratory, a $10.0 \mathrm{mL}$ sample of gastric juice, obtained several hours after a meal, was titrated with $0.1 \mathrm{M} \mathrm{NaOH}$ to neutrality; $7.2 \mathrm{mL}$ of $\mathrm{NaOH}$ was required. The patient's stomach contained no ingested food or drink; thus assume that no buffers were present. What was the pH of the gastric juice?

Alexander Cheng
Alexander Cheng
Numerade Educator
03:18

Problem 7

(a) Write out the acid dissociation reaction for hydrochloric acid. (b) Calculate the $\mathrm{pH}$ of a solution of $5.0 \times 10^{-4} \mathrm{M}$ HCl. Write out the acid dissociation reaction for sodium hydroxide.
(d) Calculate the pH of a solution of $7.0 \times 10^{-5}$ M $\mathrm{NaOH}$.

Lottie Adams
Lottie Adams
Numerade Educator
04:01

Problem 8

Calculate the pH of a solution prepared by diluting $3.0 \mathrm{mL}$ of $2.5 \mathrm{M} \mathrm{HCl}$ to a final volume of $100 \mathrm{mL}$ with $\mathrm{H}_{2} \mathrm{O}$.

Nicholas Mogoi
Nicholas Mogoi
Numerade Educator
02:12

Problem 9

The concentration of acetylcholine (a neurotransmitter) in a sample can be determined from the pH changes that accompany its hydrolysis. When the sample is incubated with the enzyme acetylcholinesterase, acetylcholine is converted to choline and acetic acid, which dissociates to yield acetate and a hydrogen ion:
In a typical analysis, $15 \mathrm{mL}$ of an aqueous solution containing an unknown amount of acetylcholine had a pH of $7.65 .$ When incubated with acetylcholinesterase, the pH of the solution decreased to $6.87 .$ Assuming there was no buffer in the assay mixture, determine the number of moles of acetylcholine in the $15 \mathrm{mL}$ sample.

Prashant Bana
Prashant Bana
Numerade Educator
03:16

Problem 10

Which of the following aqueous solutions has the lowest
$\mathrm{pH}: 0.1 \mathrm{M} \mathrm{HCl} ; 0.1 \mathrm{M}$ acetic acid $\left(\mathrm{p} K_{\mathrm{a}}=4.86\right) ; 0.1 \mathrm{M}$ formic acid $\left(\mathrm{p} K_{\mathrm{a}}=3.75\right) ?$

Lottie Adams
Lottie Adams
Numerade Educator
02:36

Problem 11

(a) Does a strong acid have a greater or lesser tendency to lose its proton than a weak acid? (b) Does the strong acid have a higher or lower $K_{\mathrm{a}}$ than the weak acid?
(c) Does the strong acid have a higher or lower $\mathrm{p} K_{\mathrm{a}}$ than the weak acid?

Lottie Adams
Lottie Adams
Numerade Educator
03:37

Problem 12

One way to make vinegar (not the preferred way) is to prepare a solution of acetic acid, the sole acid component of vinegar, at the proper $\mathrm{pH}$ (see Fig. $2-15$ ) and add appropriate flavoring agents. Acetic acid $\left(M_{\mathrm{r}} 60\right)$ is a liquid at $25^{\circ} \mathrm{C}$, with a density of $1.049 \mathrm{g} / \mathrm{mL}$. Calculate the volume that must be added to distilled water to make $1 \mathrm{L}$ of simulated vinegar (see Fig. 2-16).

Lottie Adams
Lottie Adams
Numerade Educator
01:12

Problem 13

Which is the conjugate base in each of the pairs below?
(a) $\mathrm{RCOOH}, \mathrm{RCOO}^{-}$
(b) $\mathrm{H}_{2} \mathrm{PO}_{4}^{-}, \mathrm{H}_{3} \mathrm{PO}_{4}$
(c) $\mathrm{RNH}_{2}, \mathrm{RNH}_{3}^{+}$
(d) $\mathbf{H}_{2} \mathbf{C O}_{3}, \mathbf{H C O}_{3}^{-}$

Lottie Adams
Lottie Adams
Numerade Educator
03:14

Problem 14

Calculate the $\mathrm{pH}$ of a dilute solution that contains a molar ratio of potassium acetate to acetic acid $\left(\mathrm{p} K_{\mathrm{a}}=4.76\right)$ of $(\mathrm{a}) 2: 1 ;(\mathrm{b}) 1: 3 ;(\mathrm{c}) 5: 1 ;(\mathrm{d}) 1: 1 ;(\mathrm{e}) 1: 10$

Lottie Adams
Lottie Adams
Numerade Educator
01:45

Problem 15

The strongly polar, hydrogen-bonding properties of water make it an excellent solvent for ionic (charged) species. By contrast, nonionized, nonpolar organic molecules, such as benzene, are relatively insoluble in water. In principle, the aqueous solubility of any organic acid or base can be increased by converting the molecules to charged species. For example, the solubility of benzoic acid in water is low. The addition of sodium bicarbonate to a mixture of water and benzoic acid raises the $\mathrm{pH}$ and deprotonates the benzoic acid to form benzoate ion, which is quite soluble in water. Are the following compounds more soluble in an aqueous solution of $0.1 \mathrm{M} \mathrm{NaOH}$ or
$0.1 \mathrm{M}$ HCl? (The dissociable protons are shown in red.)

Lottie Adams
Lottie Adams
Numerade Educator
01:05

Problem 16

The components of poison ivy and poison oak th produce the characteristic itchy rash are catechols substituted with long-chain alkyl groups. If you were exposed to poison ivy, which of the treatments below would you apply to the affected area? Justify your choice.
(a) Wash the area with cold water.
(b) Wash the area with dilute vinegar or lemon juice.
(c) Wash the area with soap and water.
(d) Wash the area with soap, water, and baking soda (sodium bicarbonate).

Lottie Adams
Lottie Adams
Numerade Educator
02:06

Problem 17

Aspirin is a weak acid with a $\mathrm{p} K_{\mathrm{a}}$ of 3.5 (the ionizable $\mathrm{H}$ is shown in $\mathrm{red}$ ): It is absorbed into the blood through the cells lining the stomach and the small intestine. Absorption requires passage through the plasma membrane, the rate of which is determined by the polarity of the molecule: charged and highly polar molecules pass slowly, whereas neutral hydrophobic ones pass rapidly. The pH of the stomach contents is about $1.5,$ and the $\mathrm{pH}$ of the contents of the small intestine is about $6 .$ Is more aspirin absorbed into the bloodstream from the stomach or from the small intestine? Clearly justify your choice.

Lottie Adams
Lottie Adams
Numerade Educator
01:24

Problem 18

What is the $\mathrm{pH}$ of a solution \begin{aligned}
&\text { containing } 0.12 \mathrm{mol} / \mathrm{L} \text { of } \mathrm{NH}_{4} \mathrm{Cl} \text { and } 0.03 \mathrm{mol} / \mathrm{L} \text { of } \mathrm{NaOH}\left(\mathrm{p} K_{\mathrm{a}} \text { of } \mathrm{p} K_{\mathrm{a}} \text { of } \mathrm{NH}_{4}^{+} / \mathrm{NH}_{3}\text { is }\right.\\
&9.25) ?
\end{aligned}

Oluwapelumi Kolawole
Oluwapelumi Kolawole
Numerade Educator
02:12

Problem 19

A compound has a $\mathrm{pK}_{\mathrm{a}}$ of $7.4 .$ To$100 \mathrm{mL}$ of a $1.0 \mathrm{M}$ solution of this compound at $\mathrm{pH} 8.0$ is added $30 \mathrm{mL}$ of $1.0 \mathrm{M}$ hydrochloric acid. What is the pH of the resulting solution?

Lottie Adams
Lottie Adams
Numerade Educator
04:41

Problem 20

The amino acid glycine is often ysed as the main ingredient of buffer in biochemical experiments. The amino group of glycine, which has a $\mathrm{p} K_{\mathrm{a}}$ of 9.6 can exist either in the protonated form $\left(-\mathrm{NH}_{3}^{+}\right)$ or as the free base $\left(-\mathrm{NH}_{2}\right),$ because of the reversible equilibrium $$\mathbf{R}-\mathbf{N H}_{3}^{+} \rightleftharpoons \mathbf{R}-\mathbf{N H}_{2}+\mathbf{H}^{+}$$
(a) In what pH range can glycine be used as an effective buffer due to its amino group?
(b) In a $0.1 \mathrm{M}$ solution of glycine at $\mathrm{pH} 9.0,$ what fraction of glycine has its amino group in the $-\mathrm{NH}_{3}^{+}$ form?
(c) How much 5 M KOH must be added to 1.0 L of 0.1 M glycine at $\mathrm{pH} 9.0$ to bring its $\mathrm{pH}$ to exactly $10.0 ?$
(d) When $99 \%$ of the glycine is in its $-\mathrm{NH}_{3}^{+}$ form, what is the numerical relation between the $\mathrm{pH}$ of the solution and the $\mathrm{p} K_{\mathrm{a}}$ of the amino group?

Lottie Adams
Lottie Adams
Numerade Educator
02:21

Problem 21

The $\mathrm{p} K_{\mathrm{a}}$ values of a compound with two ionizable groups are $\mathrm{p} K_{1}=4.10$ and $\mathrm{p} K_{2}$ between 7 and $10 . \mathrm{A}$ biochemist has $10 \mathrm{mL}$ of a $1.0 \mathrm{M}$ solution of this compound at a pH of $8.00 .$ She adds 10.0 $\mathrm{mL}$ of $1.00 \mathrm{M} \mathrm{HCl}$, which changes the $\mathrm{pH}$ to $3.20 .$ What is $\mathrm{p} K_{2} ?$

Lottie Adams
Lottie Adams
Numerade Educator
07:16

Problem 22

Histidine has ionizable groups with $\mathrm{p} K_{\mathrm{a}}$ values of $1.8,6.0,$ and $9.2,$ as shown below (His = imidazole group). A biochemist makes up $100 \mathrm{mL}$ of a $0.100 \mathrm{M}$ solution of histidine at a pH of $5.40 .$ She then adds $40 \mathrm{mL}$ of $0.10 \mathrm{M}$ HCl. What is the $\mathrm{pH}$ of the resulting solution?

Abigail Taye
Abigail Taye
Numerade Educator
02:58

Problem 23

Calculation of Original pH from Final pH after Titration A biochemist has 100
$\mathbf{m} \mathbf{L}$ of a $\mathbf{0 . 1 0} \mathrm{M}$ solution of a weak acid with a $\mathrm{p} K_{\mathrm{a}}$ of $6.3 .$ She adds $6.0 \mathrm{mL}$ of $1.0 \mathrm{M} \mathrm{HCl}$ which changes the pH to $5.7 .$ What was the $\mathrm{pH}$ of the original solution?

Lottie Adams
Lottie Adams
Numerade Educator
01:23

Problem 24

What molar ratio of $\mathrm{HPO}_{4}^{2-}$ to $\mathrm{H}_{3} \mathrm{PO}_{4}^{-}$ in solution would produce a pH of $7.0 ?$ Phosphoric acid $\left(\mathrm{H}_{3} \mathrm{PO}_{4}\right),$ a triprotic acid, has three $\mathrm{p} K_{\mathrm{a}}$ values: $2.14,6.86,$ and $12.4 .$ Hint: Only one of the $\mathrm{p} K_{\mathrm{a}}$ values is relevant here.

Narayan Hari
Narayan Hari
Numerade Educator
06:59

Problem 25

The glass electrode used in commercial pH meters gives an electrical response proportional to the concentration of hydrogen ion. To convert these responses to a pH reading, the electrode must be calibrated against standard solutions of known $\mathrm{H}^{+}$ concentration. Determine the weight in grams of sodium dihydrogen phosphate $\left(\mathrm{NaH}_{2} \mathrm{PO}_{4} \cdot \mathrm{H}_{2} \mathrm{O} ; \mathrm{FW}$ 138) and \right. disodium hydrogen phosphate $\left(\mathrm{Na}_{2} \mathrm{HPO}_{4} ; \mathrm{FW} \text { 142) needed to prepare } 1 \mathrm{L}$ of a standard \right. buffer at $\mathrm{pH} 7.00$ with a total phosphate concentration of $0.100 \mathrm{M}$ (see Fig. $2-16$ ). See Problem 24 for the $\mathrm{p} K_{\mathrm{a}}$ values of phosphoric acid.

Abigail Taye
Abigail Taye
Numerade Educator
00:59

Problem 26

For a weak acid with a $\mathrm{p} K_{\mathrm{a}}$ of $6.0,$ calculate the ratio of conjugate base to acid at a pH of 5.0

Hailey Tomashek
Hailey Tomashek
Numerade Educator
03:51

Problem 27

Given $0.10 \mathrm{M}$ solutions of acetic acid $\left(\mathrm{p} K_{\mathrm{a}}=4.76\right)$ and sodium acetate, describe how you would go about preparing $1.0 \mathrm{L}$ of $0.10 \mathrm{M}$ acetate buffer of $\mathrm{pH} 4.00$

Lottie Adams
Lottie Adams
Numerade Educator
01:26

Problem 28

Which of these compounds would be the best buffer at pH 5.0: formic acid $\left(\mathrm{p} K_{\mathrm{a}}=3.8\right),$ acetic acid $\left(\mathrm{p} K_{\mathrm{a}}=4.76\right),$ or ethylamine $\left(\mathrm{p} K_{\mathrm{a}}=\right.$
9.0)$?$ Briefly justify your answer.

Lottie Adams
Lottie Adams
Numerade Educator
05:20

Problem 29

A buffer contains 0.010 mol of lactic acid $\left(\mathrm{p} K_{\mathrm{a}}=3.86\right)$ and $0.050 \mathrm{mol}$ of sodium lactate per liter.
(a) Calculate the $\mathrm{pH}$ of the buffer.
(b) Calculate the change in $\mathrm{pH}$ when $5 \mathrm{mL}$ of $0.5 \mathrm{M}$ HCl is added to $1 \mathrm{L}$ of the buffer.
(c) What pH change would you expect if you added the same quantity of HCl to 1 L of pure water?

Caroline Jones
Caroline Jones
Numerade Educator
01:07

Problem 30

What is the pH of a solution that contains $0.20 \mathrm{M}$ sodium acetate and $0.60 \mathrm{M}$ acetic acid $\left(\mathrm{p} K_{\mathrm{a}}=4.76\right) ?$

Lottie Adams
Lottie Adams
Numerade Educator
02:27

Problem 31

Calculate the cocentrations of acetic acid $\left(\mathrm{p} K_{\mathrm{a}}=\right.$
4.76) and sodium acetate necessary to prepare a $0.2 \mathrm{M}$ buffer solution at pH 5.0

Lottie Adams
Lottie Adams
Numerade Educator
02:29

Problem 32

You have been observing an insect that defends itself from enemies by secreting a caustic liquid. Analysis of the liquid shows it to have a total concentration of formate plus formic acid $\left(K_{\mathrm{a}}=1.8 \times 10^{-4}\right)$ of $1.45 \mathrm{M} ;$ the concentration of formate ion is 0.015 M. What is the pH of the secretion?

Lottie Adams
Lottie Adams
Numerade Educator
06:59

Problem 33

An unknown compound, $X$, is thought to have a carboxyl group with a $\mathrm{p} K_{\mathrm{a}}$ of 2.0 and another ionizable group with a $\mathrm{p} K_{\mathrm{a}}$ between 5 and $8 .$ When $75 \mathrm{mL}$ of $0.1 \mathrm{M} \mathrm{NaOH}$ is added to $100 \mathrm{mL}$ of a $0.1 \mathrm{M}$ solution of $\mathrm{X}$ at $\mathrm{pH} 2.0,$ the $\mathrm{pH}$ increases to
$6.72 .$ Calculate the $\mathrm{p} K_{\mathrm{a}}$ of the second ionizable group of $\mathrm{X}$

Abigail Taye
Abigail Taye
Numerade Educator
03:39

Problem 34

Alanine is a diprotic acid that can undergo two dissociation reactions (see Table $3-1$ for $\mathrm{p} K_{\mathrm{a}}$ values). (a) Given the structure of the partially protonated form (or zwitterion; see Fig. $3-9$ ) below, draw the chemical structures of the other two forms of alanine that predominate in aqueous solution: the fully protonated form and the fully deprotonated form. Of the three possible forms of alanine, which would be present at the highest concentration in solutions of the following pH: (b) $1.0 ;$ (c) $6.2 ;$ (d) $8.02 ;$ (e) $11.9 .$ Explain your answers in terms of pH relative to the two $\mathrm{p} K_{\mathrm{a}}$ values.

David Collins
David Collins
Numerade Educator
02:58

Problem 35

(a) The partial pressure of $\mathrm{CO}_{2}$ in the lungs can be varied rapidly by the rate and depth of breathing. For example, a common remedy to alleviate hiccups is to increase the concentration of $\mathrm{CO}_{2}$ in the lungs. This can be achieved by holding one's breath, by very slow and shallow breathing (hypoventilation), or by breathing in and out of a paper bag. Under such conditions, $\mathrm{pCO}_{2}$ in the air space of the lungs rises above normal. Qualitatively explain the effect of these procedures on the blood pH.
(b) A common practice of competitive short-distance runners is to breathe rapidly and deeply (hyperventilate) for about half a minute to remove $\mathrm{CO}_{2}$ from their lungs just before the race begins. Blood pH may rise to $7.60 .$ Explain why the blood pH increases.
(c) During a short-distance run, the muscles produce a large amount of lactic acid $\left(\mathrm{CH}_{2} \mathrm{CH}(\mathrm{OH}) \mathrm{COOH} ; K_{2}=1.38 \times 10^{-4} \mathrm{M}\right)$ from their glucose stores. Why might
hyperventilation before a dash be useful?

CB
Christopher Bazell
Numerade Educator
03:06

Problem 36

Calculate the $\mathrm{pH}$ of a blood plasma sample with a total $\mathrm{CO}_{2}$ concentration of $26.9 \mathrm{mM}$ and bicarbonate concentration of $25.6 \mathrm{mM}$. Recall from page 67 that the relevant $\mathrm{p} K_{2}$ of carbonic acid is
6.1

R N
R N
Numerade Educator
01:56

Problem 37

The pH of the extracellular fluid is buffered by the bicarbonate/carbonic acid system. Holding your breath can increase the concentration of $\mathrm{CO}_{2}(\mathrm{g})$ in the blood. What effect might this have on the $\mathrm{pH}$ of the extracellular fluid? Explain by showing the relevant equilibrium equation(s) for this buffer system.

CB
Christopher Bazell
Numerade Educator
01:14

Problem 38

Hydrophobic molecules do not dissolve well in water. Given that water is a very commonly used solvent, this makes certain processes very difficult: washing oily food residue off dishes, cleaning up spilled oil, keeping the oil and water phases of salad dressings well mixed, and carrying out chemical reactions that involve both hydrophobic and hydrophilic components.

Surfactants are a class of amphipathic compounds that includes soaps, detergents, and emulsifiers. With the use of surfactants, hydrophobic compounds can be suspended in aqueous solution by forming micelles (see Fig. $2-7$ ). A micelle has a hydrophobic core consisting of the hydrophobic compound and the hydrophobic "tails" of the surfactant; the hydrophilic "heads" of the surfactant cover the surface of the micelle. A suspension of micelles is called an emulsion. The more hydrophilic the head group of the surfactant, the more powerful it is - that is, the greater its capacity to emulsify hydrophobic material.
When you use soap to remove grease from dirty dishes, the soap forms an emulsion with the grease that is easily removed by water through interaction with the hydrophilic head of the soap molecules. Likewise, a detergent can be used to emulsify spilled oil for removal by water. And emulsifiers in commercial salad dressings keep the oil suspended evenly throughout the water-based mixture.
There are some situations in which it would be very useful to have a "switchable", surfactant: a molecule that could be reversibly converted between a surfactant and a nonsurfactant.
(a) Imagine such a "switchable" surfactant existed. How would you use it to clean up and then recover the oil from an oil spill?
Liu et al. describe a prototypical switchable surfactant in their 2006 article "Switchable Surfactants." The switching is based on the following reaction:
(b) Given that the $\mathrm{p} K_{2}$ of a typical amidinium ion is $12.4,$ in which direction (left or
right $)$ would you expect the equilibrium of the above reaction to lie? (See Fig. $2-16$ for relevant $\left.\mathrm{p} K_{2} \quad \text { values. }\right) \quad$ Justify $\quad$ your $\quad$ answer. $\quad$ Hint: $\quad$ Remember $\quad$ the $\quad$ reaction $\mathbf{H}_{2} \mathbf{O}+\mathbf{C O}_{2} \rightleftharpoons \mathbf{H}_{2} \mathbf{C O}_{3}$
Liu and colleagues produced a switchable surfactant for which $\mathrm{R}=\mathrm{C}_{16} \mathrm{H}_{33}$. They do not name the molecule in their article; for brevity, we'll call it s-surf.
(c) The amidinium form of s-surf is a powerful surfactant; the amidine form is not. Explain this observation.

Liu and colleagues found that they could switch between the two forms of s-surf by changing the gas that they bubbled through a solution of the surfactant. They demonstrated this switch by measuring the electrical conductivity of the s-surf solution; aqueous solutions of ionic compounds have higher conductivity than solutions of nonionic compounds. They started with a solution of the amidine form of s-surf in water. Their results are shown below; dotted lines indicate the switch from one gas to another. .
(d) In which form is the majority of s-surf at point A? At point B?
(e) Why does the electrical conductivity rise from time 0 to point $\mathrm{A} ?$
(f) Why does the electrical conductivity fall from point A to point B?
(g) Explain how you would use s-surf to clean up and recover the oil from an oil spill.

Sana Riaz
Sana Riaz
Numerade Educator