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Question

The EMF of a cell : Zn+2H+Zn2+(0.1M)+H2(1atm) is 0.28V at 25C. Calculate pH of the solution at the hydrogen gas electrode.
Given that : E(Zn2+|Zn)=0.76V.

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Solution

Zn+2HZn2+(0.1M)+H2(1atm)
Ecell=0.28V
Ecell=(EcEa)red=0(0.76)V=0.76V.
Ecell=Ecell0.0592log[0.1M[H]2]
0.28V=0.76V0.0592[log(0.1)log(H)2]
0.48=0.0592[12logH)]
0.48=0.0592[1+2pH]
0.48×20.059=2pH1,
16.27=2pH1,
pH=8.6359.

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