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NEET CHEMISTRYElectrochemistryMedium

Question

The cell reaction of an electrochemical cell is Cu2+(C1)+ZnCu+Zn2+(C2)Cu^{2+}(C_1) + Zn \rightarrow Cu + Zn^{2+}(C_2). The change in free energy will be the function of:

A

ln(C1+C2)\ln(C_1+C_2)

B

ln(C2/C1)\ln(C_2/C_1)

C

lnC2\ln C_2

D

lnC1\ln C_1

Step-by-Step Solution

For the given cell reaction: Zn(s)+Cu2+(aq,C1)Zn2+(aq,C2)+Cu(s)Zn(s) + Cu^{2+}(aq, C_1) \rightarrow Zn^{2+}(aq, C_2) + Cu(s) The change in Gibbs free energy (ΔG\Delta G) is related to the reaction quotient (QQ) by the equation: ΔG=ΔG+RTlnQ\Delta G = \Delta G^{\circ} + RT \ln Q Where QQ is the ratio of concentration of products to reactants: Q=[Zn2+][Cu2+]=C2C1Q = \frac{[Zn^{2+}]}{[Cu^{2+}]} = \frac{C_2}{C_1} Substituting QQ in the equation, we get: ΔG=ΔG+RTln(C2C1)\Delta G = \Delta G^{\circ} + RT \ln\left(\frac{C_2}{C_1}\right). Therefore, the change in free energy is a function of ln(C2/C1)\ln(C_2/C_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.

CHEMISTRYElectrochemistryreactionelectrochemicalrightarrowchangeenergy

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