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NEET CHEMISTRYElectrochemistryMedium

Question

For a cell reaction involving a two-electron change, the standard Emf of the cell is found to be 0.295 V0.295\text{ V} at 25C25^{\circ}\text{C}. The equilibrium constant of the reaction at 25C25^{\circ}\text{C} will be:

A

1×10101 \times 10^{-10}

B

29.5×10229.5 \times 10^{-2}

C

101010^{10}

D

1×10101 \times 10^{10}

Step-by-Step Solution

The relationship between the 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 0.295=0.0295logKc0.295 = 0.0295 \log K_c logKc=0.2950.0295=10\log K_c = \frac{0.295}{0.0295} = 10 Therefore, Kc=1010=1×1010K_c = 10^{10} = 1 \times 10^{10}.

Exam Context & Concepts Covered

This question aligns with the NEET CHEMISTRY syllabus, specifically targeting concepts from Electrochemistry. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

CHEMISTRYElectrochemistryreactioninvolvingtwoelectronchangestandard

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