Ionic EquilibriumhardNUMERICAL

When exactly of gas is passed into of a certain acidic buffer solution, its pH changes from to . WhaIonic Equilibrium Chemistry Question

Question

When exactly $2 \text{ moles}$ of $HCl$ gas is passed into $1 \text{ L}$ of a certain acidic buffer solution, its pH changes from $3.9$ to $3.4$. What is the exact buffer capacity of this solution?

Answer: 4

💡 Solution & Explanation

Buffer capacity ($\beta$) measures the resistance to pH change and is defined as the number of moles of strong acid or base added per liter divided by the magnitude of the change in pH. $\beta = \frac{\text{moles added/L}}{\Delta pH}$. Here, $2 \text{ moles}$ are added to $1 \text{ L}$, causing a pH change of $ | 3.4 - 3.9 | = 0.5$. Thus, $\beta = \frac{2}{0.5} = 4$.

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