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JEE Mains · Chemistry · STD 11 - 6.2. Equilibrium - II (icon Equilibrium)

A weak acid HA has degree of dissociation x . Which option gives the correct expression of ( pH - \(\mathrm{pK}_{\mathrm{a}}\) )?

  1. A 0
  2. B \(\log (1+2 \mathrm{x})\)
  3. C \(\log \left(\frac{1-x}{x}\right)\)
  4. D \(\log \left(\frac{x}{1-x}\right)\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\log \left(\frac{x}{1-x}\right)\)

Step-by-step Solution

Detailed explanation

\begin{aligned} & \mathrm{K}_{\mathrm{a}}=\frac{\left[\mathrm{H}^{+}\right](\mathrm{x})}{\mathrm{C}(1-\mathrm{x})} \\ & {\left[\mathrm{H}^{+}\right]=\mathrm{K}_{\mathrm{a}} \frac{(1-\mathrm{x})}{\mathrm{x}}} \\ & \log \mathrm{H}^{+}=\log \mathrm{K}_{\mathrm{a}}+\log…

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