Skip to main content
Ch.17 - Applications of Aqueous Equilibria
McMurry - Chemistry 8th Edition
McMurry8th EditionChemistryISBN: 9781292336145Non è quello che usi tu?Cambia libro di testo
Capitolo 17, Problema 57

Calculate the pH of a solution that is 0.25 M in HF and 0.10 M in NaF.

Guida verificata passo dopo passo
1
Identify that the solution is a buffer solution, consisting of a weak acid (HF) and its conjugate base (F^- from NaF).
Use the Henderson-Hasselbalch equation for buffer solutions: \( \text{pH} = \text{pK}_a + \log \left( \frac{[\text{A}^-]}{[\text{HA}]} \right) \), where \([\text{A}^-]\) is the concentration of the conjugate base and \([\text{HA}]\) is the concentration of the weak acid.
Look up or calculate the \(\text{pK}_a\) of HF. The \(\text{K}_a\) of HF is typically around \(6.8 \times 10^{-4}\), so \(\text{pK}_a = -\log(\text{K}_a)\).
Substitute the given concentrations into the Henderson-Hasselbalch equation: \( [\text{A}^-] = 0.10 \text{ M} \) and \( [\text{HA}] = 0.25 \text{ M} \).
Calculate the pH using the equation: \( \text{pH} = \text{pK}_a + \log \left( \frac{0.10}{0.25} \right) \).

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

Weak Acid and Conjugate Base

HF (hydrofluoric acid) is a weak acid that partially dissociates in solution, while NaF (sodium fluoride) provides the conjugate base F-. The presence of both a weak acid and its conjugate base in solution creates a buffer system, which helps maintain a relatively stable pH when small amounts of acid or base are added.
Video consigliato:
Percorso guidato
01:46
Conjugate Acid-Base Relationships

Henderson-Hasselbalch Equation

The Henderson-Hasselbalch equation is a mathematical formula used to calculate the pH of a buffer solution. It is expressed as pH = pKa + log([A-]/[HA]), where pKa is the negative logarithm of the acid dissociation constant (Ka) of the weak acid, [A-] is the concentration of the conjugate base, and [HA] is the concentration of the weak acid.
Video consigliato:
Percorso guidato
02:40
Henderson-Hasselbalch Equation

Acid Dissociation Constant (Ka)

The acid dissociation constant (Ka) quantifies the strength of a weak acid in solution. It is defined as the equilibrium constant for the dissociation of the acid into its ions. For HF, the Ka value is essential for determining the pKa, which is needed in the Henderson-Hasselbalch equation to calculate the pH of the buffer solution.
Video consigliato:
Percorso guidato
03:50
Characteristics of Ka and Kb