Ionic EquilibriumhardNUMERICAL

A monoprotic weak acid in a solution is found to be ionized. What is the value of for this acid?Ionic Equilibrium Chemistry Question

Question

A monoprotic weak acid in a $1.00 \text{ M}$ solution is found to be $0.01\%$ ionized. What is the value of $K_a \times 10^8$ for this acid?

Answer: 1

💡 Solution & Explanation

Given $C = 1.00 \text{ M}$ and $\alpha = 0.01\% = 0.0001 = 10^{-4}$. The dissociation constant is given by $K_a = C\alpha^2$ (since $\alpha \ll 1$). Therefore, $K_a = 1.00 \times (10^{-4})^2 = 10^{-8}$. Multiplying by $10^8$ yields exactly $1$.

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