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Question: Answered & Verified by Expert
If $\alpha$ is the degree of ionization, $C$ the concentration of a weak electrolyte and $K_a$ the acid ionization constant, then the correct relationship between $\alpha, C$ and $K_{\mathrm{s}}$ is
ChemistryIonic EquilibriumJEE Main
Options:
  • A $\alpha^2=\sqrt{\frac{K_a}{C}}$
  • B $\alpha^2=\sqrt{\frac{C}{K_s}}$
  • C $\alpha=\sqrt{\frac{K_a}{C}}$
  • D $\alpha=\sqrt{\frac{C}{K_a}}$
Solution:
1845 Upvotes Verified Answer
The correct answer is: $\alpha=\sqrt{\frac{K_a}{C}}$
According to the Ostwald's dilution formula $\alpha^2=\frac{K(1-\alpha)}{C}$. But for weak electrolytes $\alpha$ is very small. So that $(1-\alpha)$ can be neglected. So that, $\quad \alpha=\sqrt{\frac{K_a}{C}}$

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