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NEET CHEMISTRYMedium

The standard Emf of a galvanic cell involving cell reaction with n=2n = 2 is found to be 0.295 V0.295\text{ V} at 25C25^{\circ}\text{C}. The equilibrium constant of the reaction would be: (Given F=96500 C mol1F = 96500\text{ C mol}^{-1}; R=8.314 J K1 mol1R = 8.314\text{ J K}^{-1}\text{ mol}^{-1})

A

4.0×10124.0 \times 10^{12}

B

1.0×1021.0 \times 10^2

C

1.0×10101.0 \times 10^{10}

D

2.0×10112.0 \times 10^{11}

Step-by-Step Solution

The relationship between standard cell potential (EcellE^{\circ}_{cell}) and the equilibrium constant (KcK_c) at 298 K298\text{ K} (25C25^{\circ}\text{C}) is given by the Nernst equation at equilibrium: Ecell=2.303RTnFlogKc=0.059nlogKcE^{\circ}_{cell} = \frac{2.303RT}{nF} \log K_c = \frac{0.059}{n} \log K_c Given: Ecell=0.295 VE^{\circ}_{cell} = 0.295\text{ V} n=2n = 2 Substituting the values into the equation: 0.295=0.0592logKc0.295 = \frac{0.059}{2} \log K_c logKc=0.295×20.059=0.5900.059=10\log K_c = \frac{0.295 \times 2}{0.059} = \frac{0.590}{0.059} = 10 Therefore, Kc=1010=1.0×1010K_c = 10^{10} = 1.0 \times 10^{10} .

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