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JEE Mains · Chemistry · STD 12 - 2. Electrochemistry

Consider the following electrochemical cell at standard condition.
\(\begin{aligned}
& \mathrm{Au}(\mathrm{s})\left|\mathrm{QH}_2, \mathrm{Q}\right| \mathrm{NH}_4 \mathrm{X}(0.01 \mathrm{M})| | \mathrm{Ag}^{+}(1 \mathrm{M}) \mid \mathrm{Ag}(\mathrm{s}) \\
& \mathrm{E}_{\text {cell }}=+0.4 \mathrm{~V}
\end{aligned}\)
The couple \(\mathrm{QH}_2 / \mathrm{Q}\) represents quinhydrone electrode, the half cell reaction is given below

The \(\mathrm{pK}_{\mathrm{b}}\) value of the ammonium halide salt \(\left(\mathrm{NH}_4 \mathrm{X}\right)\) used here is _________. (nearest integer)

  1. A 2
  2. B 4
  3. C 6
  4. D 8
Verified Solution

Answer & Solution

Correct Answer

(C) 6

Step-by-step Solution

Detailed explanation

\begin{aligned} & \mathrm{QH}_2+2 \mathrm{Ag}^{+} \rightarrow 2 \mathrm{Ag}+\mathrm{Q}+2 \mathrm{H}^{+} \\ & \mathrm{E}=\mathrm{E}^{\circ}-\frac{0.06}{2} \log \left[\mathrm{H}^{+}\right]^2 \\ & \mathrm{E}=\mathrm{E}^{\circ}-0.06 \times \log \left[\mathrm{H}^{+}\right] \\ &…

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