Strong Acids and Bases, pH, pOH

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AP Chemistry › Strong Acids and Bases, pH, pOH

Questions 1 - 10
1

A student prepares a $1.0\times10^{-3},\text{M}$ solution of HCl$(aq)$ in water at $25^\circ\text{C}$. Assuming HCl is a strong acid that completely dissociates, what is the pH of the solution?

1.00

3.00

4.00

11.00

14.00

Explanation

This question tests the skill of calculating pH and pOH of strong acids and bases. HCl is a strong acid, meaning it fully dissociates in water to produce one H⁺ ion per molecule, so the [H⁺] equals the concentration of HCl, which is $1.0×10^{-3}$ M. The pH is calculated as -log[H⁺], so pH = $-log(1.0×10^{-3}$) = 3.00. This direct relationship holds because there is no equilibrium to consider for strong acids. A tempting distractor is 11.00, which might result from confusing pH with pOH or mistakenly calculating for a base. For strong acids and bases, the ion concentration directly corresponds to the solute concentration (adjusted for stoichiometry) before taking the negative logarithm.

2

A student dilutes a stock solution to obtain $1.0\times10^{-4}\ \text{M}$ HNO$_3$(aq)$ at $25^\circ\text{C}$. Assuming HNO$_3$ is a strong acid that dissociates completely, what is $\text{H}^+$ in the solution?

1.0×10^-10

$1.0×10^4$

1.0×10^-14

1.0×10^-4

1.0×10^-8

Explanation

This question tests the skill of pH and pOH of strong acids and bases. HNO₃ is a strong acid, which means it fully dissociates in water according to HNO₃ → H⁺ + NO₃⁻, producing one H⁺ ion per molecule. Therefore, the concentration of H⁺ is equal to the concentration of HNO₃, which is $1.0×10^{-4}$ M. The pH would be calculated as -log[H⁺] = $-log(1.0×10^{-4}$) = 4.00, but the question asks for [H⁺] directly. A tempting distractor might be $1.0×10^{-14}$, if someone confused it with the ion product of water, K_w. For strong acids, the concentration directly gives ion concentration before taking logs.

3

A student prepares a $1.0\times10^{-3},\text{M}$ solution of HCl$(aq)$ at $25^\circ\text{C}$. Assuming HCl dissociates completely in water, what is the pH of the solution?

1.00

3.00

7.00

11.00

14.00

Explanation

This question tests pH and pOH of strong acids and bases. HCl is a strong acid that completely dissociates in water according to HCl → H⁺ + Cl⁻, meaning a 1.0×10⁻³ M HCl solution produces [H⁺] = 1.0×10⁻³ M. The pH is calculated as pH = -log[H⁺] = -log(1.0×10⁻³) = -(-3) = 3.00. A common mistake is confusing pH with pOH, which would give 11.00 (choice B), but pH directly uses [H⁺] concentration. For strong acids, the acid concentration equals the H⁺ concentration before taking the negative logarithm.

4

A $1.0\times10^{-2},\text{M}$ solution of KOH$(aq)$ is prepared at $25^\circ\text{C}$. Assuming complete dissociation, what is $\text{H}^+$ in the solution?

$1.0\times10^{-12}$

$1.0\times10^{-14}$

$1.0\times10^{-7}$

$1.0\times10^{-10}$

$1.0\times10^{-2}$

Explanation

This question tests pH and pOH of strong acids and bases. KOH is a strong base that completely dissociates as KOH → K⁺ + OH⁻, producing [OH⁻] = 1.0×10⁻² M from a 1.0×10⁻² M solution. To find [H⁺], we use the water equilibrium constant: Kw = [H⁺][OH⁻] = 1.0×10⁻¹⁴ at 25°C, so [H⁺] = Kw/[OH⁻] = (1.0×10⁻¹⁴)/(1.0×10⁻²) = 1.0×10⁻¹² M. A common mistake is using the OH⁻ concentration as the H⁺ concentration (choice B), forgetting they are inversely related. For strong bases, calculate [H⁺] by dividing Kw by [OH⁻].

5

A $0.050,\text{M}$ solution of HBr$(aq)$ is prepared at $25^\circ\text{C}$. Assuming complete dissociation, what is the pH of the solution? (Use $\log(5)\approx0.70$.)

1.30

1.70

2.70

12.70

13.30

Explanation

This question tests pH and pOH of strong acids and bases. HBr is a strong acid that completely dissociates as HBr → H⁺ + Br⁻, producing [H⁺] = 0.050 M from a 0.050 M solution. The pH is calculated as pH = -log[H⁺] = -log(0.050) = -log(5×10⁻²) = 2 - log(5) ≈ 2 - 0.70 = 1.30. A common mistake is calculating pOH instead of pH, which would give pOH = 12.70 (choice B), but strong acids directly give H⁺ concentration for pH calculation. For strong acids, use the acid concentration as [H⁺] and calculate pH directly.

6

A $6.0\times10^{-4},\text{M}$ solution of Sr(OH)$_2(aq)$ is prepared at $25^\circ\text{C}$. Assuming complete dissociation, what is $\text{OH}^-$ in the solution?​

3.0×10^-4

6.0×10^-4

6.0×10^-8

1.2×10^-3

1.0×10^-14

Explanation

This question tests pH and pOH of strong acids and bases. Sr(OH)₂ is a strong base that completely dissociates as Sr(OH)₂ → Sr²⁺ + 2OH⁻, producing 2 moles of OH⁻ per mole of Sr(OH)₂. With [Sr(OH)₂] = 6.0×10⁻⁴ M, we calculate [OH⁻] = 2 × 6.0×10⁻⁴ = 1.2×10⁻³ M. A common mistake is forgetting the stoichiometric coefficient and using [OH⁻] = 6.0×10⁻⁴ M (choice A). For bases containing multiple hydroxide ions, multiply the base concentration by the number of OH⁻ ions in the formula.

7

A solution contains $0.10\ \text{M}$ KOH$(aq)$ at $25^\circ\text{C}$. Assuming complete dissociation, what is the pH of the solution?

1.00

4.00

10.00

12.00

13.00

Explanation

This problem tests pH and pOH of strong acids and bases. KOH is a strong base that completely dissociates: KOH → K⁺ + OH⁻, so [OH⁻] = [KOH] = 0.10 M. First we find pOH = -log(0.10) = -log(10⁻¹) = 1.00, then pH = 14 - pOH = 14 - 1.00 = 13.00. A common mistake is to calculate pOH and report that as the answer (1.00, choice B), but the question asks for pH, not pOH. For strong bases, always check whether the question asks for pH or pOH to avoid this error.

8

A student prepares $0.0010\ \text{M}$ HCl$(aq)$ at $25^\circ\text{C}$. Assuming HCl dissociates completely in water, what is the pH of the solution?

1.00

2.00

3.00

11.00

13.00

Explanation

This problem tests pH and pOH of strong acids and bases. HCl is a strong acid that completely dissociates in water: HCl → H⁺ + Cl⁻, meaning [H⁺] = [HCl] = 0.0010 M. To find pH, we use pH = -log[H⁺] = -log(0.0010) = -log(10⁻³) = 3.00. A common mistake would be to calculate pOH instead of pH, which would give 11.00 (choice B), but the question specifically asks for pH. For strong acids, always remember that the acid concentration directly equals the H⁺ concentration before taking the negative logarithm.

9

A $2.0\times10^{-4},\text{M}$ solution of Ba(OH)$_2(aq)$ is prepared in water at $25^\circ\text{C}$. Ba(OH)$_2$ is a strong base that completely dissociates. What is the pOH of the solution?

2.70

3.40

3.70

10.60

11.30

Explanation

This question tests the skill of calculating pH and pOH of strong acids and bases. Ba(OH)₂ is a strong base that fully dissociates in water to produce two OH⁻ ions per formula unit, so [OH⁻] = 2 × $2.0×10^{-4}$ = $4.0×10^{-4}$ M. The pOH is then -log[OH⁻] = $-log(4.0×10^{-4}$) ≈ 3.40. This calculation assumes complete ionization without any equilibrium considerations. A tempting distractor is 10.60, which could come from calculating pH instead of pOH or forgetting the factor of 2. For strong acids and bases, the ion concentration directly gives the value before taking logs, remembering to multiply by the number of ions per molecule.

10

A $3.0\times10^{-1},\text{M}$ solution of LiOH$(aq)$ is prepared at $25^\circ\text{C}$. LiOH is a strong base that completely dissociates. What is the pOH of the solution? (Use $\log(3.0)\approx0.48$.)

0.48

0.52

1.48

1.52

13.48

Explanation

This question tests the skill of calculating pH and pOH of strong acids and bases. LiOH is a strong base that fully dissociates to produce one OH⁻ ion per molecule, so [OH⁻] = $3.0×10^{-1}$ M. Using log(3.0) ≈ 0.48, pOH = $-log(3.0×10^{-1}$) = 1 - 0.48 = 0.52. This calculation assumes complete ionization. A tempting distractor is 13.48, perhaps from calculating pH = 14 - pOH incorrectly as 13.48. For strong acids and bases, concentration directly gives ion concentration before taking logs.

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