The of an acid is . If its degree of dissociation at a concentration of is , find the exact value of — Ionic Equilibrium Chemistry Question
Question
The $K_a$ of an acid is $3.2 \times 10^{-5}$. If its degree of dissociation at a concentration of $0.2 \text{ M}$ is $x\%$, find the exact value of $x$.
Answer: 1.26
💡 Solution & Explanation
For a weak acid, $\alpha = \sqrt{K_a / C}$. Here, $\alpha = \sqrt{3.2 \times 10^{-5} / 0.2} = \sqrt{16 \times 10^{-5}} = \sqrt{1.6 \times 10^{-4}} = 1.26 \times 10^{-2}$. Converting to percentage gives $1.26\%$. Thus, $x = 1.26$.
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