1. Tardigrade
  2. Question
  3. Chemistry
  4. Consider the single electrode process 4H+ + 4- e 2H 2 catalyzed by platinum black electrode in HCl electrolyte. The potential of the electrode is -0.059 V V. SHE. What is the concentration of the acid in the hydrogen half cell if the H2 pressure is 1 bar ?

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Q. Consider the single electrode process $4H^{+} + 4^{-} e 2H _2$ catalyzed by platinum black electrode in $HCl$ electrolyte. The potential of the electrode is $-0.059\,V$ $V. SHE$. What is the concentration of the acid in the hydrogen half cell if the $H_2$ pressure is $1$ bar ?

TS EAMCET 2017

Solution:

$4 H ^{+}+4 e^{-} \ce{<=>}2 H _{2}$
$E=E^{\circ}-\frac{0.059}{n} \log \frac{p H_{2}}{\left[ H ^{+}\right]^{4}}$
$-0.059=0-\frac{0.059}{4} \log \frac{1}{\left[ H ^{+}\right]^{4}}$
$=\left[ H ^{+}\right]=10^{-1}=0.1 M$