A solution of ammonia () has a pH of 11.5. Find the molarity of the solution given . — Ionic Equilibrium Chemistry Question
Question
A solution of ammonia ($NH_3$) has a pH of 11.5. Find the molarity of the solution given $K_b(NH_4OH) = 1.8 \times 10^{-5}$.
Answer: B
💡 Solution & Explanation
$pH = 11.5 \implies pOH = 2.5 \implies [OH^-] = 10^{-2.5} \approx 3.16 \times 10^{-3} \text{ M}$. For a weak base, $[OH^-] = \sqrt{K_b C} \implies C = [OH^-]^2 / K_b = 10^{-5} / (1.8 \times 10^{-5}) \approx 0.55 \text{ M}$.
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