SATHEE: Electrochemistry - Result Question 51

Electrochemistry - Result Question 51

####53. For the cell reaction,

[1998]

$C u^{2 +} (C_{1}, a q) + Z n (s) = Z n^{2 +} (C_{2}, a q) + C u (s)$ of an electrochemical cell, the change in free energy, $Δ G$ , at a given temperature is a function of

(a) $\ln (C_{1})$

(b) $\ln (C_{2} / C_{1})$

(d) $\ln (C_{1} + C_{2})$

Show Answer

Solution:

(b) $Δ G = - n E^{\circ} F$

For concentration cell, $E = \frac{R T}{n F} \ln \frac{C_{2}}{C_{1}}$

In it $R, T, n$ and $F$ are constant

So $E$ is based upon $\ln C_{2} / C_{1}$

Now $Δ G = - n E F = - n F \times \frac{R T}{n F} \ln C_{2} / C_{1}$

$= - R T \ln C_{2} / C_{1}$

At constant temperature $Δ G$ is based upon $\ln C_{2} / C_{1}$ .

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Electrochemistry - Result Question 51

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