A hydrogen electrode is immersed in a solution with pH = 0 ,(HCl)…

MCQ

A hydrogen electrode is immersed in a solution with $pH = 0\,(HCl)$. By how much will the potential (reduction) change if an equivalent amount of $NaOH$ is added to the solution.

(Take $pH_2 = 1\,atm$ ), $T = 298\,K$.

A
increase by $0.41\,V$
B
increase by $59\,mV$
✓
decrease by $0.41\,V$
D
decrease by $59\,mV$

✓

Answer

Correct option: C.

decrease by $0.41\,V$

c
$pH$ changes from $0$ to $7$.

$\therefore $ $[H^+]$ changes from $1$ to $10^{-7}\,M$

Accordingly ${{E}_{red.}}=\,\frac{-\,0.059}{n}\,\log \,\frac{1}{[{{H}^{+}}]}$

$ = \,0.059\,\,\log \,{10^{ - 7}}$

i.e., $0.059\times (-7)\,=\,-0.41\,volts$

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