MCAT Chemical and Physical Foundations of Biological Systems Quiz: 5a Titration Buffers
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5a Titration BuffersQuestion 1 of 20

A 50.0 mL sample of 0.100 M acetic acid (HA\mathrm{HA}) is titrated with 0.100 M NaOH. The reaction is HA+OHA+H2O\mathrm{HA + OH^- \rightarrow A^- + H_2O}, and pKa(HA)=4.76pK_a(\mathrm{HA})=4.76 (25°C). At the equivalence point, essentially all initial HA\mathrm{HA} has been converted to A\mathrm{A^-}, and the pH is determined primarily by base hydrolysis: A+H2OHA+OH\mathrm{A^- + H_2O \rightleftharpoons HA + OH^-}. For acetate, Kb=Kw/KaK_b=K_w/K_a with Kw=1.0×1014K_w=1.0\times10^{-14}.

Which statement best explains why the pH at the equivalence point is expected to be greater than 7?

Constants provided: pKa=4.76pK_a=4.76; Kw=1.0×1014K_w=1.0\times10^{-14}.

At equivalence, excess OH\mathrm{OH^-} from the titrant remains unreacted, forcing the pH above 7.
At equivalence, acetate acts as a weak base and generates OH\mathrm{OH^-} by hydrolysis, increasing pH above 7.
At equivalence, pHpH must equal pKapK_a because [HA]=[A][\mathrm{HA}]=[\mathrm{A^-}] at that point.
At equivalence, the solution is neutral because the moles of acid and base added are equal.
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MCAT Chemical and Physical Foundations of Biological Systems Quiz

MCAT Chemical and Physical Foundations of Biological Systems Quiz: 5a Titration Buffers

Practice 5a Titration Buffers in MCAT Chemical and Physical Foundations of Biological Systems with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on 5a Titration Buffers, giving you a quick way to practice the rules, question types, and explanations that matter most for MCAT Chemical and Physical Foundations of Biological Systems.

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Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

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Question 1

A 50.0 mL sample of 0.100 M acetic acid (HA\mathrm{HA}) is titrated with 0.100 M NaOH. The reaction is HA+OHA+H2O\mathrm{HA + OH^- \rightarrow A^- + H_2O}, and pKa(HA)=4.76pK_a(\mathrm{HA})=4.76 (25°C). At the equivalence point, essentially all initial HA\mathrm{HA} has been converted to A\mathrm{A^-}, and the pH is determined primarily by base hydrolysis: A+H2OHA+OH\mathrm{A^- + H_2O \rightleftharpoons HA + OH^-}. For acetate, Kb=Kw/KaK_b=K_w/K_a with Kw=1.0×1014K_w=1.0\times10^{-14}.

Which statement best explains why the pH at the equivalence point is expected to be greater than 7?

Constants provided: pKa=4.76pK_a=4.76; Kw=1.0×1014K_w=1.0\times10^{-14}.

  1. At equivalence, excess OH\mathrm{OH^-} from the titrant remains unreacted, forcing the pH above 7.
  2. At equivalence, acetate acts as a weak base and generates OH\mathrm{OH^-} by hydrolysis, increasing pH above 7. (correct answer)
  3. At equivalence, pHpH must equal pKapK_a because [HA]=[A][\mathrm{HA}]=[\mathrm{A^-}] at that point.
  4. At equivalence, the solution is neutral because the moles of acid and base added are equal.

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). At the equivalence point of a weak acid-strong base titration, all the weak acid (HA) has been converted to its conjugate base (A⁻), creating a solution of sodium acetate. Acetate ion is a weak base that undergoes hydrolysis: A⁻ + H₂O ⇌ HA + OH⁻, producing hydroxide ions and increasing the pH above 7. The basicity of acetate can be quantified using Kb = Kw/Ka = (1.0×10⁻¹⁴)/(10⁻⁴·⁷⁶) ≈ 5.8×10⁻¹⁰, confirming it acts as a weak base. Choice D incorrectly assumes that equal moles of acid and base always produce a neutral solution, which is only true for strong acid-strong base titrations. For weak acid-strong base titrations, remember that the equivalence point pH > 7 due to hydrolysis of the conjugate base formed.

Question 2

A weak base B is titrated with strong acid HCl at 25°C. The reaction is:

B+H+BH+\mathrm{B + H^+ \rightarrow BH^+}

A 50.0 mL sample of 0.100 M B is titrated with 0.100 M HCl. The conjugate acid has pKa(BH+)=8.30pK_a(\mathrm{BH^+}) = 8.30. Assume ideal behavior.

At a point during the titration where both B and BH+\mathrm{BH^+} are present in substantial amounts, the solution shows minimal pH change upon addition of a small amount of HCl.

Which observation is most consistent with the solution being in its maximum buffering region during this titration?

  1. The pH is approximately 8.30 and the amounts of B and BH+\mathrm{BH^+} are comparable. (correct answer)
  2. The pH is approximately 7.00 because neutrality indicates maximal resistance to added acid.
  3. The pH is far below 8.30 because strong acid addition shifts equilibrium completely to BH+\mathrm{BH^+} in the buffer region.
  4. The pH is highest at the equivalence point because BH+\mathrm{BH^+} concentration is maximal there.

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). Maximum buffering occurs when both the weak base B and its conjugate acid BH⁺ are present in comparable amounts, which happens when pH ≈ pKa of the conjugate acid. Since pKa(BH⁺) = 8.30, the buffer region centers around pH 8.30. At this pH, the Henderson-Hasselbalch equation gives log([B]/[BH⁺]) ≈ 0, meaning [B] ≈ [BH⁺]. This equal distribution provides optimal resistance to pH change from added acid or base. A common misconception is that pH 7.00 (neutrality) indicates optimal buffering, but buffer effectiveness depends on the specific pKa, not on neutrality. To identify buffer regions in weak base titrations, look for pH values near the pKa of the conjugate acid, where both base and conjugate acid forms coexist.

Question 3

In a physiological model of blood buffering, a closed vessel contains an aqueous bicarbonate system at 37°C:

CO2(aq)+H2OH2CO3H++HCO3\mathrm{CO_2(aq) + H_2O \rightleftharpoons H_2CO_3 \rightleftharpoons H^+ + HCO_3^-}

For the H2CO3/HCO3\mathrm{H_2CO_3/HCO_3^-} pair, use pKa=6.10pK_a = 6.10. In the model, total dissolved CO2\mathrm{CO_2} is held constant by a gas reservoir, while [HCO3][\mathrm{HCO_3^-}] can change via addition of NaHCO3. Buffer capacity is assessed by adding a small amount of strong acid and observing the pH change.

Which change would most effectively increase the system's ability to resist a decrease in pH upon acid addition, under the stated constraints?

  1. Decrease [HCO3][\mathrm{HCO_3^-}] so that more CO2\mathrm{CO_2} can dissolve and neutralize added H+\mathrm{H^+}.
  2. Increase [HCO3][\mathrm{HCO_3^-}] to provide more conjugate base to consume added H+\mathrm{H^+}. (correct answer)
  3. Increase temperature to raise pKapK_a so that pH remains fixed near 7.4 regardless of acid load.
  4. Remove dissolved CO2\mathrm{CO_2} while keeping [HCO3][\mathrm{HCO_3^-}] constant, because eliminating the acid form strengthens buffering against added acid.

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). Buffer capacity against added acid depends on having sufficient conjugate base (HCO₃⁻) to neutralize H⁺ ions by the reaction: HCO₃⁻ + H⁺ → H₂CO₃. Since total dissolved CO₂ is held constant by the gas reservoir, increasing [HCO₃⁻] by adding NaHCO₃ provides more conjugate base to consume added acid while maintaining the CO₂ equilibrium. The system will resist pH decrease more effectively with higher [HCO₃⁻]. A common error is thinking that decreasing [HCO₃⁻] would help by allowing more CO₂ to dissolve, but CO₂ is already at equilibrium with the gas phase. To maximize buffer capacity against acid, always ensure adequate conjugate base is present to neutralize the expected acid load.

Question 4

A titration is performed to compare buffer regions for two monoprotic weak acids, HA (with pKa=4.0pK_a = 4.0) and HB (with pKa=9.0pK_a = 9.0), each prepared as 0.10 M solutions (25.0 mL) and titrated separately with 0.10 M NaOH. The neutralization reaction is:

HX+OHX+H2O\mathrm{HX + OH^- \rightarrow X^- + H_2O}

Assume ideal behavior and that the buffer region is most effective when both acid and conjugate base are present in comparable amounts.

Which statement best explains where each titration will exhibit its greatest buffering (smallest pH change per added base)?

  1. Both titrations buffer best near pH 7 because water controls pH most strongly around neutrality.
  2. HA buffers best near pH 4 and HB buffers best near pH 9 because buffering is strongest when pHpKapH \approx pK_a. (correct answer)
  3. HA buffers best near pH 9 and HB buffers best near pH 4 because the stronger acid always buffers at higher pH.
  4. Both acids buffer best at the equivalence point because the conjugate base concentration is maximal there.

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). Buffer action is most effective when both the weak acid and its conjugate base are present in comparable amounts, which occurs when pH is near the pKa of the acid. For HA with pKa = 4.0, maximum buffering occurs around pH 4, while for HB with pKa = 9.0, maximum buffering occurs around pH 9. During titration with NaOH, these pH regions are reached when approximately half of each acid has been neutralized (near the half-equivalence point). A common misconception is that buffering is best at the equivalence point, but at equivalence, essentially all acid has been converted to conjugate base, leaving no acid to neutralize added base. To identify buffer regions in titrations, look for pH values within ±1 unit of the acid's pKa, where both acid and conjugate base coexist in significant amounts.

Question 5

A weak acid titration is used to characterize an unknown monoprotic acid HA. A 25.0 mL sample of 0.100 M HA is titrated with 0.100 M NaOH at 25°C. The reaction is:

HA+OHA+H2O\mathrm{HA + OH^- \rightarrow A^- + H_2O}

At the half-equivalence point, the measured pH is 4.80. Assume activity coefficients are ~1 and that HA is the only acid-base active species initially.

Based on the titration behavior, which statement is most consistent with the system at the half-equivalence point and what it implies about KaK_a (or pKapK_a)?

  1. At half-equivalence, [HA]=[A][\mathrm{HA}] = [\mathrm{A^-}] and pH=pKapH = pK_a, so pKa4.80pK_a \approx 4.80. (correct answer)
  2. At half-equivalence, [H+]=[OH][\mathrm{H^+}] = [\mathrm{OH^-}] and pH=7.00pH = 7.00, so pKa7.00pK_a \approx 7.00.
  3. At half-equivalence, all HA has been converted to A−, so pH>pKapH > pK_a and pKapK_a must be less than 4.80.
  4. At half-equivalence, the equivalence point has been reached, so pHpH depends only on the strong base concentration and not on pKapK_a.

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). At the half-equivalence point of a weak acid titration, exactly half of the weak acid has been converted to its conjugate base, meaning [HA] = [A⁻]. The Henderson-Hasselbalch equation shows that when [A⁻]/[HA] = 1, then pH = pKa + log(1) = pKa. Since the measured pH at half-equivalence is 4.80, the pKa of the unknown acid must be 4.80. A common error is confusing half-equivalence with the equivalence point, where all acid has been converted to conjugate base. To identify the half-equivalence point, look for when the volume of titrant added is exactly half of what's needed to reach the equivalence point, or when pH = pKa for a monoprotic acid.

Question 6

A researcher prepares two buffers at 25°C using the ammonia/ammonium system:

NH4+H++NH3\mathrm{NH_4^+ \rightleftharpoons H^+ + NH_3} with pKa=9.25pK_a = 9.25.

Buffer X: [NH3]=0.090M[\mathrm{NH_3}] = 0.090\,\mathrm{M} and [NH4+]=0.010M[\mathrm{NH_4^+}] = 0.010\,\mathrm{M}. Buffer Y: [NH3]=0.010M[\mathrm{NH_3}] = 0.010\,\mathrm{M} and [NH4+]=0.090M[\mathrm{NH_4^+}] = 0.090\,\mathrm{M}. Total buffer concentration is the same in both (0.100 M). A small amount of strong base is added to each.

Which statement best describes which buffer will show the smaller pH increase upon base addition, and why?

  1. Buffer X, because it has higher pH initially and therefore is closer to the pKapK_a where buffering is maximal.
  2. Buffer Y, because it contains more NH4+\mathrm{NH_4^+} to neutralize added OH\mathrm{OH^-} by forming NH3\mathrm{NH_3}. (correct answer)
  3. Both buffers respond identically because total buffer concentration is equal, so buffer capacity is independent of component ratio.
  4. Buffer X, because added OH\mathrm{OH^-} converts NH3\mathrm{NH_3} to NH4+\mathrm{NH_4^+}, consuming base more effectively.

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). When strong base (OH⁻) is added to an ammonia/ammonium buffer, it reacts with the acidic component NH₄⁺ according to: NH₄⁺ + OH⁻ → NH₃ + H₂O. Buffer Y contains much more NH₄⁺ (0.090 M) compared to Buffer X (0.010 M), so it can neutralize more added base before significant pH change occurs. Although Buffer X has pH closer to the pKa (better for general buffering), the specific challenge is resisting base addition, which requires the acidic buffer component. A common error is assuming that higher pH always means better buffering against base, but buffer capacity against a specific perturbation depends on having enough of the appropriate component. When evaluating buffer response to base, check the concentration of the acidic component (conjugate acid) that will neutralize the base.

Question 7

A laboratory technician must prepare 500 mL of a buffer at pH 7.40 using the H2PO4/HPO42\mathrm{H_2PO_4^- / HPO_4^{2-}} system at 25°C:

H2PO4H++HPO42\mathrm{H_2PO_4^- \rightleftharpoons H^+ + HPO_4^{2-}}, pKa=7.21pK_a = 7.21.

They can choose between two stock solutions: (i) 0.10 M NaH2PO4\mathrm{NaH_2PO_4} and 0.10 M Na2HPO4\mathrm{Na_2HPO_4}, or (ii) 0.010 M NaH2PO4\mathrm{NaH_2PO_4} and 0.010 M Na2HPO4\mathrm{Na_2HPO_4}. The pH will be set by mixing appropriate volumes of the acid and base stocks; no other acids/bases will be added. The goal is not only to reach pH 7.40 but also to maximize buffer capacity.

Which choice is most consistent with achieving the desired pH with the highest buffer capacity, assuming both options can be mixed to the same base:acid ratio?

  1. Use the 0.010 M stocks, because lower concentration buffers maintain pH more effectively by shifting equilibrium more easily.
  2. Use either stock set, because buffer capacity depends only on pHpKapH - pK_a and not on absolute concentration.
  3. Use the 0.10 M stocks, because higher total buffer concentration increases the amount of acid/base that can be neutralized with minimal pH change. (correct answer)
  4. Use the 0.10 M stocks, because higher concentration forces pHpH to equal pKapK_a regardless of mixing ratio.

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). Buffer capacity increases with the total concentration of buffer components when the pH and component ratio are held constant. Using 0.10 M stocks instead of 0.010 M stocks provides 10× more moles of both H₂PO₄⁻ and HPO₄²⁻ in the final buffer. This means the buffer can neutralize 10× more added acid or base before showing significant pH change. Both stock sets can be mixed to achieve pH 7.40 by using the same volume ratio, but the absolute concentrations differ by 10-fold. A common misconception is that lower concentrations allow easier equilibrium shifts, but buffer action depends on having sufficient material to neutralize added acid or base. When preparing buffers for maximum capacity, always use the highest practical concentration that doesn't interfere with other experimental requirements.

Question 8

An experimentalist prepares a Tris buffer for a protein purification step at 25°C using:

TrisH+H++Tris\mathrm{TrisH^+ \rightleftharpoons H^+ + Tris} with pKa=8.06pK_a = 8.06.

They initially dissolve Tris base to make 1.0 L of 0.10 M Tris (no TrisH+ added). They then adjust pH by adding HCl, forming some TrisH+. Buffer capacity is evaluated by adding a small additional amount of HCl and observing the pH change.

Which pH target during adjustment would most effectively maximize resistance to additional acid addition while still remaining a buffer (both forms present)?

  1. Adjust to pH 8.06 so that [Tris][TrisH+][\mathrm{Tris}] \approx [\mathrm{TrisH^+}], maximizing buffer capacity near pKapK_a. (correct answer)
  2. Adjust to pH 6.06 so that [Tris][\mathrm{Tris}] is 100× [TrisH+][\mathrm{TrisH^+}], maximizing capacity against added acid.
  3. Adjust to pH 10.06 so that [TrisH+][\mathrm{TrisH^+}] is 100× [Tris][\mathrm{Tris}], maximizing capacity against added acid.
  4. Adjust to pH 7.00 because buffers are most effective at physiological pH regardless of pKapK_a.

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). Maximum buffer capacity occurs when pH = pKa, where [Tris] = [TrisH⁺] according to the Henderson-Hasselbalch equation. At pH 8.06 (the pKa), the buffer has equal concentrations of both forms, providing optimal resistance to pH changes from added acid or base. While the question specifically asks about resistance to additional acid, having comparable amounts of both forms ensures the buffer can respond effectively. A common error is trying to maximize one component over the other for specific resistance, but this creates a poor buffer that quickly exhausts its capacity. For maximum buffer capacity at a specific pH, always target pH = pKa, which automatically provides the optimal 1:1 ratio of buffer components.

Question 9

A researcher designs an acetate buffer for an enzyme assay at 25°C. The conjugate pair is:

CH3COOHH++CH3COO\mathrm{CH_3COOH \rightleftharpoons H^+ + CH_3COO^-} with pKa=4.76pK_a = 4.76.

The desired buffer pH is 5.76, and the total buffer concentration [CH3COOH]+[CH3COO][\mathrm{CH_3COOH}] + [\mathrm{CH_3COO^-}] should be 0.20 M to maximize buffer capacity without affecting ionic strength beyond the assay limit. Assume ideal behavior.

Which adjustment would most effectively achieve the desired pH while maintaining high buffer capacity, based on Henderson–Hasselbalch reasoning?

  1. Set [CH3COOH]=[CH3COO]=0.10M[\mathrm{CH_3COOH}] = [\mathrm{CH_3COO^-}] = 0.10\,\mathrm{M} because maximum capacity occurs when pH=pKapH = pK_a.
  2. Choose [CH3COO][\mathrm{CH_3COO^-}] about 10× [CH3COOH][\mathrm{CH_3COOH}] while keeping their sum at 0.20 M. (correct answer)
  3. Choose [CH3COOH][\mathrm{CH_3COOH}] about 10× [CH3COO][\mathrm{CH_3COO^-}] while keeping their sum at 0.20 M.
  4. Decrease total buffer concentration well below 0.20 M so that the buffer can more easily shift equilibrium and hold pH constant.

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). The Henderson-Hasselbalch equation relates pH to pKa and the ratio of conjugate base to acid: pH = pKa + log([A⁻]/[HA]). For a desired pH of 5.76 with pKa = 4.76, we need pH - pKa = 1.00, which means log([CH₃COO⁻]/[CH₃COOH]) = 1.00, so [CH₃COO⁻]/[CH₃COOH] = 10. To maintain total concentration of 0.20 M while achieving this 10:1 ratio, we need [CH₃COO⁻] ≈ 0.182 M and [CH₃COOH] ≈ 0.018 M. A common error is thinking maximum buffer capacity always occurs at pH = pKa (equal concentrations), but the question asks for pH 5.76, not maximum capacity at any pH. When preparing buffers, always calculate the required ratio from the Henderson-Hasselbalch equation first, then adjust concentrations to meet that ratio.

Question 10

Two buffers are prepared at the same pH using the same conjugate pair: HAH++A\mathrm{HA \rightleftharpoons H^+ + A^-} with pKa=6.00pK_a=6.00. Buffer 1 contains [HA]=0.010M[\mathrm{HA}]=0.010\,\mathrm{M} and [A]=0.010M[\mathrm{A^-}]=0.010\,\mathrm{M}; Buffer 2 contains [HA]=0.10M[\mathrm{HA}]=0.10\,\mathrm{M} and [A]=0.10M[\mathrm{A^-}]=0.10\,\mathrm{M}. Both are at 25°C. A small, identical amount of strong acid is added to equal volumes of each buffer.

Which statement best describes the expected relative pH change, based on buffer capacity?

Constants provided: pKa=6.00pK_a=6.00.

  1. Buffer 1 will show the smaller pH change because lower concentrations reduce ionic strength effects.
  2. Buffer 2 will show the smaller pH change because higher total buffer concentration provides greater capacity at the same ratio. (correct answer)
  3. Both buffers will show the same pH change because pH depends only on the [A]/[HA][\mathrm{A^-}]/[\mathrm{HA}] ratio, not concentration.
  4. Buffer 2 will show the larger pH change because more A\mathrm{A^-} means more H+\mathrm{H^+} is produced by the equilibrium.

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). Buffer capacity, the ability to resist pH changes, increases with the total concentration of buffer components while maintaining the same [A⁻]/[HA] ratio. Buffer 2, with ten times higher concentrations (0.10 M each) than Buffer 1 (0.010 M each), has ten times more moles of A⁻ available to neutralize the same amount of added H⁺, resulting in a smaller pH change. Both buffers start at the same pH since they have the same [A⁻]/[HA] ratio, but Buffer 2's higher concentration provides greater resistance to perturbation. Choice C incorrectly assumes pH change depends only on the ratio, ignoring that buffer capacity depends on absolute concentrations. To assess buffer capacity, consider both the ratio (which sets the pH) and the total concentration (which determines resistance to change).

Question 11

A 0.100 M solution of a weak acid HA\mathrm{HA} (with pKa=5.00pK_a=5.00 at 25°C) is titrated with 0.100 M NaOH. The neutralization is HA+OHA+H2O\mathrm{HA + OH^- \rightarrow A^- + H_2O}. During the titration, the investigator notes that the pH changes very little upon small additions of NaOH in one region, but changes rapidly near another region.

Which region best explains the observed minimal pH change, based on buffer capacity and composition?

Constants provided: pKa=5.00pK_a=5.00.

  1. Near the start of titration, when only HA is present and no conjugate base exists.
  2. Near the half-equivalence point, when both HA and A− are present in comparable amounts. (correct answer)
  3. Near the equivalence point, when HA and A− are present in equal amounts by definition.
  4. Far past equivalence, when excess OH− dominates and the solution is maximally buffered.

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). During a weak acid-strong base titration, the pH changes minimally in the buffer region near the half-equivalence point, where both HA and A⁻ are present in comparable amounts. At the half-equivalence point, [HA] ≈ [A⁻], creating optimal buffering capacity as both species can neutralize added acid or base. The pH in this region approximately equals the pKa (5.00), and small additions of NaOH are neutralized by the HA present, converting it to A⁻ with minimal pH change. Choice C incorrectly identifies the equivalence point as having equal amounts of HA and A⁻; at equivalence, essentially all HA has been converted to A⁻. To identify buffer regions in titrations, look for where both conjugate species coexist, typically centered at the half-equivalence point where pH ≈ pKa.

Question 12

To model a physiological buffer, a solution is prepared using the H2CO3/HCO3\mathrm{H_2CO_3/HCO_3^-} pair. The relevant equilibrium is H2CO3H++HCO3\mathrm{H_2CO_3 \rightleftharpoons H^+ + HCO_3^-} with pKa=6.10pK_a=6.10 (25°C). A sample contains [H2CO3]=0.020M[\mathrm{H_2CO_3}]=0.020\,\mathrm{M} and [HCO3]=0.200M[\mathrm{HCO_3^-}]=0.200\,\mathrm{M} in water. Buffer capacity depends on having substantial amounts of both acid and conjugate base, and the effective buffering range is roughly pKa±1pK_a\pm1.

If a small amount of strong acid is added to this sample, which change is expected to most directly explain the buffer action?

Constants provided: pKa(H2CO3)=6.10pK_a(\mathrm{H_2CO_3})=6.10.

  1. Added H+\mathrm{H^+} is consumed by HCO3\mathrm{HCO_3^-} to form H2CO3\mathrm{H_2CO_3}, limiting the increase in free H+\mathrm{H^+}. (correct answer)
  2. Added H+\mathrm{H^+} shifts the equilibrium to produce more H+\mathrm{H^+}, stabilizing pH by Le Châtelier's principle.
  3. Because [HCO3]>[H2CO3][\mathrm{HCO_3^-}]>[\mathrm{H_2CO_3}], the pH must equal 6.10 and cannot change upon acid addition.
  4. The buffer works only when [H2CO3][HCO3][\mathrm{H_2CO_3}]\gg[\mathrm{HCO_3^-}], so this solution will show little resistance to added acid.

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). Buffer action occurs when the conjugate base component neutralizes added acid by accepting protons, preventing a large pH change. In this H₂CO₃/HCO₃⁻ system, when strong acid (H⁺) is added, the bicarbonate ion (HCO₃⁻) acts as a base and combines with H⁺ to form H₂CO₃, thereby removing free H⁺ from solution and limiting the pH decrease. This system has good buffering capacity because [HCO₃⁻] = 0.200 M is substantial and can neutralize appreciable amounts of added acid. Choice B incorrectly applies Le Châtelier's principle, suggesting the equilibrium would produce more H⁺ when H⁺ is added, which would actually decrease pH rather than stabilize it. To understand buffer action, remember that the conjugate base consumes added H⁺ while the weak acid consumes added OH⁻.

Question 13

An experimentalist must prepare 1.0 L of a phosphate buffer at pH=7.20pH=7.20 using the conjugate pair H2PO4/HPO42\mathrm{H_2PO_4^- / HPO_4^{2-}}. The equilibrium is H2PO4H++HPO42\mathrm{H_2PO_4^- \rightleftharpoons H^+ + HPO_4^{2-}} with pKa=7.21pK_a=7.21 (25°C). Buffer capacity increases with total buffer concentration at a fixed base:acid ratio. Stock solutions available are 1.0 M NaH2PO4\mathrm{NaH_2PO_4} and 1.0 M Na2HPO4\mathrm{Na_2HPO_4}.

Which preparation choice is most likely to achieve both the desired pH and relatively high buffer capacity, without requiring additional acid/base adjustment?

Constants provided: pKa=7.21pK_a=7.21 for H2PO4/HPO42\mathrm{H_2PO_4^- / HPO_4^{2-}}.

  1. Mix equal volumes of the two 1.0 M stocks to maximize total concentration and set pHpKapH\approx pK_a. (correct answer)
  2. Use only 1.0 M NaH2PO4\mathrm{NaH_2PO_4} because the pH of a buffer equals the acid's pKapK_a regardless of conjugate base.
  3. Dilute both stocks 100-fold before mixing so that the Henderson–Hasselbalch equation is valid.
  4. Mix mostly Na2HPO4\mathrm{Na_2HPO_4} with a small amount of NaH2PO4\mathrm{NaH_2PO_4} because pH=pKapH=pK_a only when base dominates.

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). To prepare a buffer at pH 7.20 when pKa = 7.21, the Henderson-Hasselbalch equation shows that [HPO₄²⁻]/[H₂PO₄⁻] should be approximately 1:1 since pH ≈ pKa. Mixing equal volumes of the 1.0 M stocks creates [H₂PO₄⁻] = [HPO₄²⁻] = 0.5 M, achieving both the desired pH and high buffer capacity due to the high total concentration (1.0 M total). Buffer capacity increases with total buffer concentration at a fixed ratio, making this the optimal choice. Choice D incorrectly suggests that base must dominate for pH = pKa, misunderstanding the Henderson-Hasselbalch relationship. When preparing buffers near the pKa, use approximately equal amounts of acid and conjugate base forms for both correct pH and maximum buffering capacity.

Question 14

A researcher prepares 1.00 L of a buffer containing acetic acid and sodium acetate: [HA]=0.10M[\mathrm{HA}]=0.10\,\mathrm{M} and [A]=0.10M[\mathrm{A^-}]=0.10\,\mathrm{M}. The relevant equilibrium is HAH++A\mathrm{HA \rightleftharpoons H^+ + A^-} with pKa=4.76pK_a=4.76 (at 25°C). Buffer capacity is defined operationally as resistance to pH change upon addition of small amounts of strong acid or base, and it increases with the total concentration [HA]+[A][\mathrm{HA}]+[\mathrm{A^-}] at fixed ratio. The investigator adds 1.0mL1.0\,\mathrm{mL} of 1.0M1.0\,\mathrm{M} HCl to the buffer and separately adds 1.0mL1.0\,\mathrm{mL} of 1.0M1.0\,\mathrm{M} NaOH to a fresh, identical buffer.

Which statement best describes this buffer's ability to resist pH change under these perturbations?

Constants provided: pKa(acetic acid)=4.76pK_a(\text{acetic acid})=4.76; assume volume change is negligible.

  1. The buffer resists both additions similarly because equal, appreciable amounts of HA and A− are present to neutralize added base or acid, respectively. (correct answer)
  2. The buffer resists added HCl but not added NaOH because the pH is below the pKapK_a when [HA]=[A][\mathrm{HA}]=[\mathrm{A^-}].
  3. The buffer cannot resist either addition because strong acids and bases fully determine pH regardless of buffer concentration.
  4. The buffer resists added NaOH but not added HCl because acetate is the conjugate base and therefore dominates pH control.

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). A buffer resists pH changes by having both a weak acid (HA) and its conjugate base (A⁻) present to neutralize added strong base or acid, respectively. In this system with equal concentrations of acetic acid and acetate ([HA] = [A⁻] = 0.10 M), the buffer has optimal capacity to resist both acid and base additions. When HCl is added, the acetate ion (A⁻) neutralizes the H⁺ to form more HA; when NaOH is added, the acetic acid (HA) neutralizes the OH⁻ to form more A⁻. Choice B incorrectly suggests the buffer only resists acid addition, misunderstanding that buffers work bidirectionally when both components are present. To verify buffer effectiveness, check that both HA and A⁻ are present in appreciable amounts (ideally within a 10:1 ratio) and that the working pH is within ±1 unit of the pKa.

Question 15

A researcher prepares 100 mL of a buffer containing acetic acid and acetate such that [CH3COO]=[CH3COOH]=0.10 M[\mathrm{CH_3COO^-}] = [\mathrm{CH_3COOH}] = 0.10\ \mathrm{M}. The buffer is challenged by adding a small amount of strong acid (HCl), and the pH decreases only slightly. Relevant equilibrium: CH3COOHH++CH3COO\mathrm{CH_3COOH \rightleftharpoons H^+ + CH_3COO^-} with pKa=4.76pK_a = 4.76 (at 25°C). Buffer capacity is defined operationally as the amount of strong acid/base required to change pH by 1 unit; capacity is greatest when both conjugate species are present in substantial and comparable amounts. Which statement best describes the buffer's ability to resist pH change upon addition of a small amount of HCl?

(Assume volume change is negligible and activity coefficients are ~1.)

  1. The buffer has high capacity because added H+\mathrm{H^+} is consumed by CH3COO\mathrm{CH_3COO^-} to form CH3COOH\mathrm{CH_3COOH}, keeping the ratio near 1. (correct answer)
  2. The buffer has low capacity because pKapK_a equals 4.76, so the pH is fixed at 4.76 regardless of added acid.
  3. The buffer has high capacity because added H+\mathrm{H^+} converts CH3COOH\mathrm{CH_3COOH} into CH3COO\mathrm{CH_3COO^-}, increasing pH.
  4. The buffer has low capacity because equal concentrations of acid and base neutralize each other and leave no buffering species.

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). Buffers resist changes in pH by utilizing a weak acid and its conjugate base to neutralize added acids or bases, with maximum capacity when their concentrations are equal. In this acetic acid/acetate buffer, equal concentrations of CH3COOH and CH3COO- ensure the pH is at the pKa of 4.76, providing high buffering capacity. The correct answer aligns because added H+ from HCl reacts with CH3COO- to form CH3COOH, maintaining the ratio near 1 and minimizing pH change. A common error is thinking equal concentrations neutralize each other leaving no buffer, as in choice D, but they are the active buffering species. For similar questions, verify that buffer capacity is highest when [acid] ≈ [base] and both are substantial. Always check if the added amount is small relative to buffer concentrations to ensure negligible depletion.

Question 16

In a titration, 25.0 mL of 0.100 M0.100\ \mathrm{M} acetic acid (pKa=4.76pK_a = 4.76) is titrated with 0.100 M0.100\ \mathrm{M} NaOH. Reaction: CH3COOH+OHCH3COO+H2O\mathrm{CH_3COOH + OH^- \rightarrow CH_3COO^- + H_2O}. A pH electrode records a smooth titration curve. At the half-equivalence point, the solution contains appreciable amounts of both CH3COOH\mathrm{CH_3COOH} and CH3COO\mathrm{CH_3COO^-}. Based on titration behavior of a weak acid with a strong base, what is most consistent with the pH at the half-equivalence point?

(Assume 25°C and ideal behavior.)

  1. The pH is approximately equal to pKapK_a (about 4.76). (correct answer)
  2. The pH is 7.00 because half-equivalence implies neutrality.
  3. The pH is well below pKapK_a because the acid has not been fully neutralized.
  4. The pH is approximately equal to 14pKa14 - pK_a (about 9.24).

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). In titrating a weak acid with a strong base, the half-equivalence point occurs when half the acid is neutralized, creating equal amounts of acid and conjugate base. For acetic acid titrated with NaOH, at half-equivalence, [CH3COOH] ≈ [CH3COO-], making the solution a buffer at pH ≈ pKa. This aligns with the correct answer since the Henderson-Hasselbalch equation gives pH = pKa + log(1) = 4.76. A distractor like choice B assumes neutrality at half-equivalence, but for weak acids, it's at pKa, not 7. For similar problems, confirm the half-equivalence pH equals pKa by ensuring equal conjugate forms. Double-check volumes to identify the half-equivalence point accurately.

Question 17

A lab compares two buffers at the same pH (both adjusted to pH 6.0): Buffer 1 contains 0.010 M0.010\ \mathrm{M} total of H2PO4/HPO42\mathrm{H_2PO_4^- / HPO_4^{2-}} (pKa2=7.21pK_a2 = 7.21), and Buffer 2 contains 0.100 M0.100\ \mathrm{M} total of the same conjugate pair at the same ratio. Both are challenged with the same small amount of HCl. Buffer capacity increases with total buffer concentration at fixed ratio. Which outcome is most consistent with these principles?

(Assume temperature constant and negligible volume changes.)

  1. Buffer 2 shows a smaller pH decrease than Buffer 1 because it has higher total buffer concentration. (correct answer)
  2. Buffer 1 shows a smaller pH decrease because lower concentration reduces ionic strength effects.
  3. Both buffers show identical pH change because pH is determined only by pKapK_a.
  4. Buffer 2 shows a larger pH decrease because concentrated buffers amplify pH changes on the logarithmic scale.

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). Buffer capacity directly correlates with total concentration of the conjugate pair at a fixed ratio, leading to smaller pH changes in more concentrated buffers. Here, Buffer 2 at 0.100 M total resists pH decrease from HCl better than Buffer 1 at 0.010 M. The correct answer aligns as higher concentration in Buffer 2 minimizes the pH drop. Choice D incorrectly claims concentrated buffers amplify changes, ignoring capacity principles. In comparable scenarios, compare total concentrations after confirming same ratios. Note that near pKa, capacity is maximized but still scales with concentration.

Question 18

An experimentalist wants to prepare 1.0 L of a phosphate buffer at pH 7.20 using the conjugate pair H2PO4/HPO42\mathrm{H_2PO_4^- / HPO_4^{2-}} with pKa2=7.21pK_a2 = 7.21 (25°C). Relevant equilibrium: H2PO4H++HPO42\mathrm{H_2PO_4^- \rightleftharpoons H^+ + HPO_4^{2-}}. Buffer capacity increases with total buffer concentration while the pH is primarily set by the ratio [base]/[acid][\mathrm{base}]/[\mathrm{acid}]. Which adjustment would most effectively increase buffer capacity while maintaining pH near 7.20?

(Assume ionic strength effects are negligible.)

  1. Increase both [H2PO4][\mathrm{H_2PO_4^-}] and [HPO42][\mathrm{HPO_4^{2-}}] by the same factor, keeping their ratio constant. (correct answer)
  2. Increase only [HPO42][\mathrm{HPO_4^{2-}}] to raise total concentration without changing pH.
  3. Decrease both components by the same factor to reduce dilution effects and stabilize pH.
  4. Adjust pH to exactly equal pKa2pK_a2 by adding strong acid, because capacity depends only on matching pH=pKapH = pK_a.

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). Buffer capacity increases with total concentration of the conjugate pair while pH is set by the base-to-acid ratio via Henderson-Hasselbalch. For the phosphate buffer at pH 7.20 near pKa2 7.21, increasing both [H2PO4-] and [HPO42-] proportionally maintains the ratio and pH. This aligns with the correct answer as it boosts capacity without altering pH. Choice B is incorrect because increasing only [HPO42-] would raise pH, not maintain it. For analogous questions, calculate the required ratio using pH = pKa + log([base]/[acid]). Ensure adjustments preserve the ratio for stable pH.

Question 19

A titration curve is collected for a monoprotic weak acid (HA, pKa=4.0pK_a = 4.0) titrated with strong base. The equivalence point pH is observed to be greater than 7. This behavior is explained by hydrolysis of the conjugate base: A+H2OHA+OH\mathrm{A^- + H_2O \rightleftharpoons HA + OH^-}. Which statement best explains why the equivalence point is basic?

(Assume 25°C and no other equilibria.)

  1. At equivalence, the solution contains mostly A\mathrm{A^-}, which generates OH\mathrm{OH^-} by reacting with water. (correct answer)
  2. At equivalence, the solution contains mostly HA, which generates H+\mathrm{H^+} by reacting with water.
  3. At equivalence, pHpH must be 7 because moles of acid equal moles of base.
  4. At equivalence, the pHpH equals the pKapK_a of the acid regardless of titrant strength.

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). In weak acid-strong base titrations, equivalence point pH >7 due to hydrolysis of the weak conjugate base producing OH-. For HA with pKa 4.0, at equivalence, A- hydrolyzes to form basic solution. The correct answer aligns as A- generates OH-. Choice C assumes pH 7, valid only for strong acids. In like titrations, estimate equivalence pH ≈ (pKa + 14 + log C)/2 for dilute solutions. Confirm no buffer region at equivalence.

Question 20

A buffer is prepared using lactic acid/lactate: HLacH++Lac\mathrm{HLac \rightleftharpoons H^+ + Lac^-} with pKa=3.86pK_a = 3.86. The solution is adjusted so that [Lac]/[HLac]=10[\mathrm{Lac^-}] / [\mathrm{HLac}] = 10. Buffer capacity depends on having substantial amounts of both species; pH depends on the ratio. When a small amount of strong acid is added, which statement best predicts the direction and relative magnitude of pH change compared with an equimolar buffer of the same total concentration?

(Assume same total buffer concentration in both cases.)

  1. pH decreases, and the change is typically larger than in an equimolar buffer because the acid form is relatively scarce. (correct answer)
  2. pH increases because added acid converts HLac\mathrm{HLac} to Lac\mathrm{Lac^-}.
  3. pH does not change because the ratio is fixed at 10 by the pKapK_a.
  4. pH decreases, and the change is typically smaller than in an equimolar buffer because pH>pKapH > pK_a.

Explanation: This question tests understanding of titration and buffer systems (Foundational Concept 5A). Buffer capacity is reduced when pH deviates from pKa, leading to larger pH changes despite high base form concentration. In this lactate buffer at pH = pKa +1 with [Lac-]/[HLac]=10, added acid causes a larger pH decrease than in an equimolar buffer due to low [HLac] making the ratio more sensitive. The correct answer aligns as pH drops more significantly. Choice D incorrectly suggests smaller change, overlooking capacity reduction away from pKa. For like questions, use ΔpH approximation involving 1/[A-] + 1/[HA]. Check that capacity peaks at [acid] = [base].