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NEET CHEMISTRYMedium

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).

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