In a mixture containing and (), what is the total concentration? — Ionic Equilibrium Chemistry Question
Question
In a mixture containing $0.01 \text{ M } HCl$ and $0.01 \text{ M } CHCl_2COOH$ ($K_a = 2.55 \times 10^{-2}$), what is the total $[H^+]$ concentration?
Answer: B
💡 Solution & Explanation
Let acid dissociate by $x$. $[H^+] = 0.01 + x$, $[A^-] = x$, $[HA] = 0.01 - x$. $K_a = x(0.01+x)/(0.01-x) = 0.0255$. Solving the quadratic yields $x \approx 0.0061 \text{ M}$. Total $[H^+] = 0.01 + 0.0061 = 0.0161 \text{ M}$.
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