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NEET CHEMISTRYElectrochemistryMedium

Question

If the EcellE^\circ_{\text{cell}} for a given reaction has a negative value, which of the following gives correct relationships for the values of ΔG\Delta G^\circ and KeqK_{\text{eq}}?

A

ΔG>0;Keq<1\Delta G^\circ > 0; K_{\text{eq}} < 1

B

ΔG>0;Keq>1\Delta G^\circ > 0; K_{\text{eq}} > 1

C

ΔG<0;Keq>1\Delta G^\circ < 0; K_{\text{eq}} > 1

D

ΔG<0;Keq<1\Delta G^\circ < 0; K_{\text{eq}} < 1

Step-by-Step Solution

The standard Gibbs free energy change ΔG\Delta G^\circ is related to the standard cell potential EcellE^\circ_{\text{cell}} by the equation: ΔG=nFEcell\Delta G^\circ = -nFE^\circ_{\text{cell}} If EcellE^\circ_{\text{cell}} is negative, then ΔG\Delta G^\circ must be positive (ΔG>0\Delta G^\circ > 0). Furthermore, ΔG\Delta G^\circ is related to the equilibrium constant KeqK_{\text{eq}} by the equation: ΔG=2.303RTlogKeq\Delta G^\circ = -2.303 RT \log K_{\text{eq}} Since ΔG\Delta G^\circ is positive, logKeq\log K_{\text{eq}} must be negative. This means Keq<1K_{\text{eq}} < 1. Therefore, the correct relationship is ΔG>0\Delta G^\circ > 0 and Keq<1K_{\text{eq}} < 1.

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.

CHEMISTRYElectrochemistryecirctextcellreactionnegativefollowingcorrect

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