For the following electrochemical cells at 298K, Pt ( s ) | H _ 2 ( ~g , 1 bar ) | H ^ +…

Chemistry · JEE Advanced · NTA ExamsElectrochemistry

For the following electrochemical cells at 298K,
\(\operatorname{Pt}(\mathrm{s})\left|\mathrm{H}_{2}(\mathrm{~g}, 1 \mathrm{bar})\right| \mathrm{H}^{+}(1 \mathrm{M}) \| \mathrm{M}^{4+}(\mathrm{aq}), \mathrm{M}^{2+}(\mathrm{aq}) \mid \mathrm{Pt}(\mathrm{~s})\) 
\(\mathrm{E}_{\text {cell }}=0.092 \mathrm{~V} \text { when } \frac{\left[\mathrm{M}^{2+}(\mathrm{aq})\right]}{\left[\mathrm{M}^{4+}(\mathrm{aq})\right]}=10^{\mathrm{X}} .\) 
Given : \(\mathrm{E}_{\mathrm{M}^{4+} / \mathrm{M}^{2+}}^{0}=0.151 \mathrm{~V} ; 2.303 \frac{\mathrm{RT}}{\mathrm{~F}}=0.059 \mathrm{~V}\) 
The value of x is (2016)
  1. –2
  2. –1
  3. 1
  4. 2

Answer

(D) 2

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