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Question

A concentration cell Pt |H2(g)||HCl(aq)||H2SO4(aq)||H2(g)| is constructed using equal concentration of acids and equal number of moles of H2 gas in both the compartments at the same temperature. If volume of H2 gas at the anodic compartment is 19 times the volume of H2 gas at cathodic compartment.


Which of the following is/are correct for the given cell (log 2 = 0.3, log 3 = 0.48) 2.303RTF=0.06V

A
Pressure of H2 gas in both the cell compartments are equal
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B
Concentration of H+ ion in both the cell compartments are unequal
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C
Eocell = 0 for the above cell
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D
Ecell 0 for the above cell
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Solution

The correct options are
B Eocell = 0 for the above cell
C Concentration of H+ ion in both the cell compartments are unequal
D Ecell 0 for the above cell
H2(g)P1H+CH+2CH2(g)P2

Anodic reaction,
12H2H++e

Cathodic reaction -
H++e12H2

12H2+(anode)H+(cathode)12H2+(cathode)H+(anode)

Eocell=0

Ecell=Eocell0.061log(PH2)cathode×[H+]anode(PH2)anode×[H+]cathode

Ecell=0.06log(19×C2C)=0.06log(12×3)=0.06(log2+log3)=0.06(0.3+0.48)=0.0468volt

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