Ionic EquilibriummediumMCQ SINGLE

The concentration of and of a aqueous solution of a weak monoprotic acid that is ionized is (Assume Ionic Equilibrium Chemistry Question

Question

The concentration of $[H^+]$ and $[OH^-]$ of a $0.1 \text{ M}$ aqueous solution of a weak monoprotic acid that is $2\%$ ionized is (Assume $K_w = 1 \times 10^{-14}$):

Answer: A

💡 Solution & Explanation

The degree of ionization $\alpha = 2\% = 0.02$. The hydrogen ion concentration is $[H^+] = C\alpha = 0.1 \times 0.02 = 2 \times 10^{-3} \text{ M}$. The hydroxide ion concentration is obtained via the ionic product of water: $[OH^-] = \frac{K_w}{[H^+]} = \frac{10^{-14}}{2 \times 10^{-3}} = 5 \times 10^{-12} \text{ M}$.

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