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What is cell entropy change of the following cell?

Pt(s)\mid H_{2}(g)\mid CH_{3}COOH,HCl\left | \mid KCl (aq)\right |Hg_{2}Cl_{2}(s)\mid Hg

P=1 atm              0.1 M                                    0.1 M

Emf of the cell is found to be 0.045 V at 298 K and the temperature coefficient is 3.4 \times 10^{-4} V K^{-1}

Given

 

 

Option: 1

60


Option: 2

65.2


Option: 3

69.2


Option: 4

63.5


Answers (1)

best_answer

Considering the cell reaction

H_{2}+2e\rightarrow 2H^{+}

Hg{_{2}}^{2+}+2e\rightarrow 2Hg(l)+2Cl^{-}(aq)

\Delta S=nF=\left ( \frac{\partial E}{\partial T} \right )_{P}=2\times 96500\times 3.4\times 10^{-4}

=65.223\; J/K/mole

Posted by

Sayak

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