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NEET CHEMISTRYMedium

The value of EcellE^{\circ}_{cell} for the following reaction is: Cu2++Sn2+Cu+Sn4+Cu^{2+} + Sn^{2+} \rightarrow Cu + Sn^{4+} (Given, equilibrium constant is 10610^6)

A

0.17

B

0.01

C

0.05

D

1.77

Step-by-Step Solution

The relationship between standard cell potential (EcellE^{\circ}_{cell}) and the equilibrium constant (KcK_c) at 298 K298\text{ K} is given by the equation: Ecell=0.0591nlogKcE^{\circ}_{cell} = \frac{0.0591}{n} \log K_c For the given cell reaction: Oxidation half-reaction: Sn2+Sn4++2eSn^{2+} \rightarrow Sn^{4+} + 2e^- Reduction half-reaction: Cu2++2eCuCu^{2+} + 2e^- \rightarrow Cu The number of electrons transferred (nn) is 22. Given Kc=106K_c = 10^6, Ecell=0.05912log(106)E^{\circ}_{cell} = \frac{0.0591}{2} \log(10^6) Ecell=0.05912×6=0.0591×3=0.1773 V0.17 VE^{\circ}_{cell} = \frac{0.0591}{2} \times 6 = 0.0591 \times 3 = 0.1773\text{ V} \approx 0.17\text{ V}

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