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Question

Chemistry Question on Nernst Equation

The standard emf of a cell involving one electron charge is found to be 0.591V0.591\, V at 25C25^{\circ} C. The equilibrium constant of the reaction is (1F=96500Cmol1,R=8.314JK1mol1)\left(1\, F =96500\, C\, mol ^{-1}, R=8.314\, J\, K ^{-1} mol ^{-1}\right)

A

1.0×101 1.0\times 10^{1}

B

1.0×1030 1.0\times 10^{30}

C

1.0×1010 1.0\times 10^{10}

D

1.0×105 1.0\times 10^{5}

Answer

1.0×1010 1.0\times 10^{10}

Explanation

Solution

At 298K298\, K E=0.0591nlogKcE^{\circ} =\frac{0.0591}{n} \log K_{c} 0.591=0.05911logKc0.591 =\frac{0.0591}{1} \log K_{c} logKc=0.59100.0591\log K_{c} =\frac{0.5910}{0.0591} logKc=10\log K_{c} =10 Kc=1010K_{c} =10^{10}