Q31 / 225 · JEE Main 2003 · Chemistry
For a cell reaction involving a two-electron change, the standard e.m.f. of the cell is found to be $0.295 \mathrm{~V}$ at $25^{\circ} \mathrm{C}$. The equilibrium constant of the reaction at $25^{\circ} \mathrm{C}$ will be
- A$29.5 \times 10^{-2}$
- B10
- C$1 \times 10^{10}$
- Correct answerD$1 \times 10^{-10}$
Solution
The equilibrium constant is related to the standard emf of cell by the expression
$\log K=E_{\text {cell }}^0 \times \frac{n}{0.059}=0.295 \times \frac{2}{0.059}$
$\log \mathrm{K}=\frac{590}{59}=10$ or $\mathrm{K}=1 \times 10^{-10}$
Hence, the correct answer is option: 'D'.