pH and Solubility

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AP Chemistry › pH and Solubility

Questions 1 - 10
1

A student compares the solubility of $\text{CaF}_2(s)$ in pure water versus a solution at pH $2$ (adjusted with a strong acid). Which choice best describes how the solubility changes at pH $2$ and why?

The solubility increases because $\text{H}^+$ reacts with $\text{F}^-$ to form HF, lowering $[\text{F}^-]$ and shifting dissolution toward products.

The solubility stays the same because fluoride is the conjugate base of a strong acid and therefore cannot react with $\text{H}^+$.

The solubility decreases because $\text{H}^+$ is a common ion with $\text{CaF}_2$ and suppresses dissolution by the common-ion effect.

The solubility decreases because strong acids always decrease the solubility of ionic solids by increasing ionic strength.

The solubility stays the same because changing pH affects only the rate of dissolving, not the equilibrium solubility.

Explanation

This question tests the effect of low pH on the solubility of fluoride salts through formation of weak acid HF. At pH 2, the high [H+] protonates F- ions from CaF2 dissolution to form HF, reducing [F-] in solution. This decrease in [F-] makes Q < Ksp, driving the equilibrium toward greater dissolution per Le Chatelier's principle. As a result, the solubility of CaF2 increases in the acidic solution compared to pure water. A tempting distractor is choice B, which asserts fluoride cannot react with H+ because it's from a strong acid, but this misconceives HF as weak, allowing protonation. To determine pH effects on solubility, identify if the anion is a conjugate base of a weak acid and evaluate how protonation shifts the dissolution equilibrium.

2

Solid copper(II) hydroxide, $\text{Cu(OH)}_2(s)$, is added to two beakers at the same temperature: Beaker 1 contains pure water, and Beaker 2 contains a solution buffered at pH 10 (so $\text{H}^+$ is kept very low and $\text{OH}^-$ is relatively high). Compared with Beaker 1, what happens to the solubility of $\text{Cu(OH)}_2(s)$ in the pH 10 buffer, and why?

Solubility decreases because the higher $[\text{OH}^-]$ acts as a common ion and shifts $\text{Cu(OH)}_2(s) \rightleftharpoons \text{Cu}^{2+}+2\text{OH}^-$ toward the solid.

Solubility increases because higher pH always increases solubility of metal hydroxides by neutralizing the solid.

Solubility is unchanged because a buffer keeps pH constant, so dissolution equilibria cannot shift.

Solubility increases because buffers consume $\text{Cu}^{2+}$, removing it from solution and pulling dissolution forward.

Solubility is unchanged because $\text{OH}^-$ is not included in the equilibrium for dissolving metal hydroxides.

Explanation

This question tests understanding of the common ion effect with metal hydroxides at high pH. Cu(OH)₂ dissolves according to: Cu(OH)₂(s) ⇌ Cu²⁺(aq) + 2OH⁻(aq). At pH 10, the solution has a relatively high [OH⁻] concentration (10⁻⁴ M) compared to pure water. These OH⁻ ions are a common ion with the dissolution products, so according to Le Chatelier's principle, the increased [OH⁻] shifts the equilibrium to the left, decreasing the solubility of Cu(OH)₂. Choice C incorrectly suggests that buffers prevent equilibrium shifts, but buffers only maintain constant pH—they don't prevent the common ion effect. For metal hydroxides, high pH (high [OH⁻]) always decreases solubility through the common ion effect, while low pH increases solubility by removing OH⁻ through neutralization.

3

Solid silver acetate, $\text{AgC}_2\text{H}_3\text{O}_2(s)$, is added to two beakers at the same temperature: Beaker A contains pure water, and Beaker B contains 0.10 M HC$_2$H$_3$O$_2$ (acetic acid). Compared with Beaker A, what happens to the solubility of $\text{AgC}_2\text{H}_3\text{O}_2(s)$ in Beaker B, and why?

Solubility is unchanged because $K_{sp}$ fixes the solubility regardless of other equilibria such as acid-base reactions.

Solubility decreases because acetic acid supplies acetate ions directly, increasing $[\text{C}_2\text{H}_3\text{O}_2^-]$ and shifting toward the solid.

Solubility increases because $\text{H}^+$ protonates $\text{C}_2\text{H}_3\text{O}_2^-$ to form HC$_2$H$_3$O$_2$, reducing $[\text{C}_2\text{H}_3\text{O}_2^-]$ and shifting dissolution forward.

Solubility is unchanged because weak acids do not affect equilibrium concentrations and only strong acids can change solubility.

Solubility decreases because adding any acid adds a common ion $\text{H}^+$ that appears in the solubility product expression for acetate salts.

Explanation

This question tests understanding of how weak acids affect the solubility of salts containing their conjugate bases. Silver acetate dissolves as: AgC₂H₃O₂(s) ⇌ Ag⁺(aq) + C₂H₃O₂⁻(aq). Acetic acid (HC₂H₃O₂) is a weak acid that partially dissociates, providing H⁺ ions that can protonate the acetate ion (C₂H₃O₂⁻) to form more HC₂H₃O₂. This removes C₂H₃O₂⁻ from the solution, and by Le Chatelier's principle, the dissolution equilibrium shifts right to produce more ions, increasing solubility. Choice D incorrectly claims that acetic acid supplies acetate ions, but weak acids actually consume their conjugate bases through protonation rather than supplying them. When a weak acid is added to a solution containing its conjugate base as part of a sparingly soluble salt, the acid will increase the salt's solubility by removing the anion through protonation.

4

A student compares the solubility of solid calcium carbonate, $\text{CaCO}_3(s)$, in two beakers at the same temperature: Beaker 1 contains pure water (about pH 7), and Beaker 2 contains 0.10 M HCl (pH about 1). Which statement best describes how lowering the pH affects the solubility of $\text{CaCO}_3(s)$ and why?

Solubility is unchanged because strong acids act as buffers and keep the carbonate equilibrium from shifting.

Solubility is unchanged because $K_{sp}$ depends only on temperature and pH cannot affect any equilibrium concentrations.

Solubility decreases because a lower pH forces carbonate to remain as $\text{CO}_3^{2-}$, increasing $[\text{CO}_3^{2-}]$ and shifting precipitation.

Solubility increases because $\text{H}^+$ reacts with $\text{CO}_3^{2-}$ to form $\text{HCO}_3^-$ and $\text{H}_2\text{CO}_3$, reducing $[\text{CO}_3^{2-}]$ and shifting dissolution forward.

Solubility decreases because added $\text{Cl}^-$ is a common ion with $\text{CaCO}_3$ and shifts the equilibrium toward the solid.

Explanation

This question tests understanding of how pH affects the solubility of salts containing basic anions. When CaCO₃ dissolves, it produces Ca²⁺ and CO₃²⁻ ions, where CO₃²⁻ is a basic anion that can accept protons. In acidic solution (low pH), the high concentration of H⁺ ions reacts with CO₃²⁻ to form HCO₃⁻ and H₂CO₃, effectively removing CO₃²⁻ from the solution. According to Le Chatelier's principle, removing a product (CO₃²⁻) shifts the dissolution equilibrium CaCO₃(s) ⇌ Ca²⁺(aq) + CO₃²⁻(aq) to the right, increasing solubility. Choice B incorrectly suggests Cl⁻ is a common ion with CaCO₃, but CaCO₃ contains no chloride ions. To solve pH-solubility problems, identify whether the anion is basic (can accept H⁺) or neutral, then apply Le Chatelier's principle to predict how pH changes affect the dissolution equilibrium.

5

Solid calcium phosphate, $\text{Ca}_3(\text{PO}_4)_2(s)$, is placed into two solutions at the same temperature: Solution P is pure water, and Solution Q is 0.10 M HCl. Compared with Solution P, what happens to the solubility of $\text{Ca}_3(\text{PO}_4)_2(s)$ in Solution Q, and why?

Solubility decreases because $\text{Cl}^-$ is a common ion with phosphate salts and shifts the equilibrium toward the solid.

Solubility decreases because added acid increases $[\text{PO}_4^{3-}]$ by converting $\text{H}_2\text{PO}_4^-$ into $\text{PO}_4^{3-}$, driving precipitation.

Solubility increases because $\text{H}^+$ protonates $\text{PO}_4^{3-}$ to form $\text{HPO}_4^{2-}$ and $\text{H}_2\text{PO}_4^-$, lowering $[\text{PO}_4^{3-}]$ and shifting dissolution forward.

Solubility is unchanged because HCl is a strong acid and strong acids do not participate in equilibrium shifts.

Solubility is unchanged because $K_{sp}$ is constant and therefore the amount that dissolves cannot depend on pH.

Explanation

This question tests understanding of how pH affects the solubility of salts containing polyprotic basic anions. Ca₃(PO₄)₂ dissolves to produce Ca²⁺ and PO₄³⁻ ions, where PO₄³⁻ is a strongly basic anion that readily accepts protons. In acidic solution (HCl), H⁺ ions protonate PO₄³⁻ stepwise to form HPO₄²⁻, H₂PO₄⁻, and even H₃PO₄, effectively removing PO₄³⁻ from the solution. By Le Chatelier's principle, removing the product PO₄³⁻ shifts the dissolution equilibrium to the right, significantly increasing the solubility of Ca₃(PO₄)₂. Choice D incorrectly reverses the acid-base chemistry, claiming acid increases [PO₄³⁻] when it actually decreases it through protonation. For salts containing highly basic anions (especially polyprotic ones like PO₄³⁻, CO₃²⁻), acidic conditions dramatically increase solubility by removing the anion through multiple protonation steps.

6

Solid zinc hydroxide, $\text{Zn(OH)}_2(s)$, is added to two solutions at the same temperature: Solution M is pure water, and Solution N is 0.10 M HNO$_3$. Compared with Solution M, what happens to the solubility of $\text{Zn(OH)}_2(s)$ in Solution N, and why?

Solubility increases because $\text{H}^+$ neutralizes $\text{OH}^-$ to form water, reducing $[\text{OH}^-]$ and shifting dissolution forward.

Solubility is unchanged because strong acids prevent any equilibrium shift by fully dissociating.

Solubility decreases because nitrate is a common ion with $\text{Zn(OH)}_2$ and shifts the equilibrium toward the solid.

Solubility is unchanged because the solid controls the ion concentrations, so adding $\text{H}^+$ cannot change solubility.

Solubility decreases because adding acid increases $[\text{OH}^-]$ through water autoionization, shifting toward precipitation.

Explanation

This question tests understanding of how pH affects the solubility of metal hydroxides. Zn(OH)₂ dissolves according to: Zn(OH)₂(s) ⇌ Zn²⁺(aq) + 2OH⁻(aq). In acidic solution (HNO₃), H⁺ ions react with OH⁻ ions to form water through the neutralization reaction: H⁺ + OH⁻ → H₂O. This effectively removes OH⁻ from the solution, and by Le Chatelier's principle, the dissolution equilibrium shifts to the right to produce more ions, increasing solubility. Choice D incorrectly claims that adding acid increases [OH⁻], when acids actually decrease hydroxide concentration by neutralization. For metal hydroxides, acidic conditions always increase solubility because H⁺ removes OH⁻ through neutralization, while basic conditions decrease solubility through the common ion effect.

7

A student investigates the solubility of $\text{Ag}_2\text{CO}_3(s)$ in two beakers at the same temperature. Beaker 1 contains pure water. Beaker 2 contains a solution adjusted to pH $2$ using a strong acid. Which statement best describes the solubility in Beaker 2 and why?

The solubility decreases because $\text{H}^+$ is a common ion for $\text{Ag}_2\text{CO}_3$ and shifts dissolution toward the solid.

The solubility increases because $\text{H}^+$ converts $\text{CO}_3^{2-}$ to $\text{HCO}_3^-$ and $\text{H}_2\text{CO}_3$, lowering $[\text{CO}_3^{2-}]$ and favoring dissolution.

The solubility decreases because the strong acid increases ionic strength, which always decreases solubility for ionic solids.

The solubility stays the same because the acid acts as a buffer that keeps the carbonate concentration fixed.

The solubility stays the same because $K_{sp}$ depends only on temperature and pH cannot change concentrations at equilibrium.

Explanation

This question tests the impact of low pH on the solubility of carbonate salts via acid-base reactions with the carbonate ion. In Beaker 2 at pH 2, the added H+ from the strong acid converts $CO3^2$- from Ag2CO3 dissolution into HCO3- and H2CO3, lowering $[CO3^2$-]. This reduction in $[CO3^2$-] causes Q to fall below Ksp, promoting more dissolution to restore equilibrium. Consequently, the solubility of Ag2CO3 increases in the acidic beaker compared to pure water. A tempting distractor is choice A, which mistakenly applies the common-ion effect to H+, but H+ is not an ion in the Ksp expression and instead participates in an acid-base reaction. To evaluate pH-dependent solubility, check if the anion can accept protons and use Le Chatelier's principle to analyze how removing the anion affects the equilibrium.

8

A student compares the solubility of solid calcium carbonate, $\text{CaCO}_3(s)$, in two beakers at the same temperature: Beaker 1 contains pure water, and Beaker 2 contains $0.10,\text{M}$ HCl (pH $\approx 1$). Which statement best describes how the solubility changes in Beaker 2 and why?

The solubility decreases because HCl is a strong electrolyte that screens charges and forces ions to recombine into the solid.

The solubility decreases because adding acid increases $[\text{CO}_3^{2-}]$ through the common-ion effect, shifting dissolution backward.

The solubility increases because $\text{H}^+$ reacts with $\text{CO}_3^{2-}$ to form $\text{HCO}_3^-$ and $\text{H}_2\text{CO}_3$, lowering $[\text{CO}_3^{2-}]$ and shifting dissolution forward.

The solubility stays the same because $K_{sp}$ is constant and pH cannot affect equilibrium positions for ionic solids.

The solubility stays the same because HCl acts as a buffer that keeps $[\text{CO}_3^{2-}]$ constant in solution.

Explanation

This question tests the understanding of how pH affects the solubility of salts with anions that are conjugate bases of weak acids. In Beaker 2 with 0.10 M HCl, the high [H+] from the acid reacts with $CO3^2$- ions produced by the dissolution of CaCO3 to form HCO3- and H2CO3. This reaction lowers the $[CO3^2$-] in solution, causing the ion product Q to be less than Ksp and shifting the equilibrium toward more dissolution according to Le Chatelier's principle. Therefore, the solubility of CaCO3 increases in the acidic solution compared to pure water. A tempting distractor is choice B, which misapplies the common-ion effect by claiming acid increases $[CO3^2$-], but this ignores the acid-base reaction that actually decreases $[CO3^2$-]. To predict pH effects on solubility, determine if the anion can be protonated by checking if it is the conjugate base of a weak acid, and apply Le Chatelier's principle to see how it shifts the equilibrium.

9

A student adds solid silver carbonate, $\text{Ag}_2\text{CO}_3(s)$, to two solutions: Solution 1 is pH 2 and Solution 2 is pH 12. Which statement best describes the relative solubility and the reason?

Same solubility because pH affects only reaction rates, not equilibrium solubility.

More soluble at pH 12 because $\text{OH}^-$ removes $\text{CO}_3^{2-}$ by forming $\text{HCO}_3^-$.

More soluble at pH 2 because $\text{H}^+$ converts $\text{CO}_3^{2-}$ to $\text{HCO}_3^-$/$\text{H}_2\text{CO}_3$, reducing free $\text{CO}_3^{2-}$.

Same solubility because $\text{Ag}^+$ is not acidic or basic, so pH has no effect.

Less soluble at pH 2 because adding acid introduces a common ion that shifts equilibrium left.

Explanation

The skill being tested is comparing solubility at different pH levels for carbonates. The correct answer is that Ag2CO3 is more soluble at pH 2 because H+ converts $CO3^2$- to HCO3-/H2CO3, reducing free $[CO3^2$-] and promoting dissolution per Le Châtelier's principle. At pH 12, the lack of H+ prevents this reaction, resulting in lower solubility similar to neutral conditions. $CO3^2$- acts as a base, making acidity enhance solubility. A tempting distractor is A, that it's more soluble at pH 12 because OH- removes $CO3^2$-, but this misconceives the acid-base behavior, as OH- does not effectively protonate or remove carbonate. Identify the acid-base nature of ions and use equilibrium shifts to assess pH impacts on solubility.

10

A student compares the solubility of calcium carbonate, $\text{CaCO}_3(s)$, in three beakers: (1) pure water, (2) 0.10 M HCl(aq), and (3) 0.10 M NaOH(aq). Which statement best predicts how changing pH affects the solubility of $\text{CaCO}_3$ and why?

Solubility is highest in 0.10 M NaOH because $\text{OH}^-$ neutralizes $\text{Ca}^{2+}$, removing it and shifting dissolution forward.

Solubility is highest in pure water because adding acid or base always adds a common ion that suppresses dissolution.

Solubility is lowest in 0.10 M HCl because added ions make the solution buffered and prevent further dissolving.

Solubility is highest in 0.10 M HCl because $\text{H}^+$ consumes $\text{CO}_3^{2-}$ to form $\text{HCO}_3^-$/$\text{H}_2\text{CO}_3$, shifting dissolution forward.

Solubility is the same in all three because $K_{sp}$ fixes the solubility regardless of pH.

Explanation

The skill being tested is understanding how pH affects the solubility of salts with basic anions through acid-base equilibria. The correct answer is that solubility is highest in 0.10 M HCl because H+ consumes $CO3^2$- to form HCO3-/H2CO3, shifting the dissolution equilibrium forward by Le Châtelier's principle. In pure water, there is no excess H+ to react with $CO3^2$-, resulting in lower solubility limited by Ksp. In 0.10 M NaOH, the high [OH-] does not remove $CO3^2$- and may slightly suppress solubility due to indirect effects, but the key is the acid's enhancement. A tempting distractor is C, that solubility is the same because Ksp fixes it regardless of pH, but this misconceives that while Ksp is constant, coupled acid-base reactions alter effective ion concentrations. Always consider if dissolved ions can participate in pH-dependent equilibria when predicting solubility changes.

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