Skip to main content
Ch.17 - Applications of Aqueous Equilibria
Chapter 17, Problem 49

Which of the following mixtures has the higher pH? (a) Equal volumes of 0.10 M HCN and 0.10 M NaOH (b) Equal volumes of 0.10 M HClO4 and 0.10 M NaOH

Verified step by step guidance
1
Identify the nature of the substances involved: HCN is a weak acid, NaOH is a strong base, and HClO4 is a strong acid.
Consider the reaction between HCN and NaOH: Since NaOH is a strong base and HCN is a weak acid, NaOH will neutralize HCN, forming water and the conjugate base CN⁻, which can slightly increase the pH.
Consider the reaction between HClO4 and NaOH: Both are strong, so they will completely neutralize each other, resulting in a neutral solution with a pH close to 7.
Compare the resulting solutions: The solution from HCN and NaOH will have a higher pH than the solution from HClO4 and NaOH because the conjugate base CN⁻ can slightly increase the pH.
Conclude that the mixture of HCN and NaOH will have a higher pH than the mixture of HClO4 and NaOH.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above.
Video duration:
3m
Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Acid-Base Reactions

Acid-base reactions involve the transfer of protons (H+) between reactants. In this context, strong acids like HClO4 completely dissociate in solution, while weak acids like HCN only partially dissociate. The strength of the acid and base in the mixtures will determine the resulting pH after they react.
Recommended video:
Guided course
01:09
Acid-Base Reaction

pH Scale

The pH scale measures the acidity or basicity of a solution, ranging from 0 (very acidic) to 14 (very basic), with 7 being neutral. A higher pH indicates a more basic solution, which is relevant when comparing the outcomes of the mixtures in the question. Understanding how to calculate pH from concentrations of acids and bases is crucial.
Recommended video:

Neutralization

Neutralization is the reaction between an acid and a base, resulting in the formation of water and a salt. The extent of neutralization affects the final pH of the solution. In the mixtures presented, the amount of strong base (NaOH) will determine how much of the acid is neutralized, influencing the final pH of each mixture.
Recommended video:
Guided course
05:56
Lewis Dot Structures: Neutral Compounds