What is the cell entropy change `(` in `J K ^(-1))` of the following cell `:`
`Pt(s)|underset(p=1atm)(H_(2)(g))|CH_(2)underset(0.1M)(COOH,HCl)|underset(0.1M)(KCl(aq))|Hg_(2)Cl_(2)(s)|Hg`
The `EMF` of the cell is found to be `0.045 V` at `298K` and temperature coefficient if `3.4xxx10^(-4)V K^(-1)`
`(` Given `:K_(a(CH_(3)COOH))=10^(-5)M)`

Options

A. 60
B. 65.2
C. 69.2
D. 63.5

Answer

B

Explanation

Considering the cell reaction
`H_(2)+2erarr2H^(+)`
`Hg_(2)^(2+)rarr2Hg(l)+2Cl^(-)(aq)`
`DeltaS=nF((partialE)/(partialT))_(P)=2xx96500xx3.4xx10^(-4)=65.223J//K//mol e`