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Question: The potential of the Daniell cell,\(Zn\left| \underset{(1M)}{ZnSO_{4}} \right|\left| \underset{(1M)}...

The potential of the Daniell cell,ZnZnSO4(1M)CuSO4(1M)CuZn\left| \underset{(1M)}{ZnSO_{4}} \right|\left| \underset{(1M)}{CuSO_{4}} \right|Cu was reported by Buckbee, Surdzial and Metz as E0 = 1.1028 – 0.641 × 10–3 T + 0.72 × 10–5 T2, where T is the temperature in degree celsius. Calculate ΔS0\Delta S^{0} for the cell reaction at 250C

A

– 45.32 EU

B

– 34.52 EU

C

– 25.43 EU

D

– 54.23 EU

Answer

– 54.23 EU

Explanation

Solution

E0 = 1.1028 – 0.641 × 10–3 T + 0.72 × 10–5 T2

}{( - 0641 + 0.36) \times 10^{- 3} = - 0.281 \times 10^{- 3}}$$ $$\Delta\text{ }\text{S}^{0}\text{ = nF }\frac{dE^{0}}{dT}\text{= 2 }\text{×}\text{ 96500 }\text{×}\text{ }(\text{-281 }\text{×}\text{ 1}\text{0}^{\text{-3}})\text{ = - 54.23 EU}$$