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Question

Calculate the EMF of the cell at 298 K.
Pt|H2(1atm)|NaOH(xM)||NaCl(xM)|AgCl(s)|Ag
If E0Cl/AgCl/Ag=0.222V.

A
1.048 V
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B
-0.04 V
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C
-0.604 V
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D
emf depends on x and cannot be determined unless value of x is given
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Solution

The correct option is A 1.048 V
Anode: 12H2H++1e
Cathode: AgCl+1eAg+Cl
-----------------------------------------------------------
net: 12H2+AgCl1eH++Ag+Cl
Ecell=+0.222+0.0591log1[H+][Cl]
=+0.222+0.059log[OH][1014][Cl]=+0.222+0.059(14)=+1.048 volt

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