QJEEAdv17Ch1798: JEE Advanced 2017 Chemistry - Class 12 JEEAdv17Ch1798 Solution: For the following cell, when the concentration of is times the…

Question

Verified Solution • 2025–26 Session moderate

For the following cell,

Zn\left( s \right)\left| {ZnS{O_4}\left( {aq} \right)} \right|\left| {CuS{O_4}\left( {aq} \right)} \right|Cu\left( s \right)

when the concentration of

Z{n^{2 + }}

is

10

times the concentration of

C{u^{2 + }},

the expression for

\Delta G

(in

J\,mo{l^{ - 1}}

) is [

F

is Faraday constant;

R

is gas constant;

T

is temperature;

{E^0}

(cell)

=1.1

V

]

Accepted Answer

The reaction involved is

$Zn(s) + C{u^{2 + }}(aq)$ $\rightleftharpoons$ $Z{n^{2 + }}(aq) + Cu(s)$

$\Delta G = \Delta G^\circ + 2.303RT\log {{[Z{n^{2 + }}]} \over {[C{u^{2 + }}]}}$

$\Delta G = - nFE^\circ + 2.303RT\log {{[Z{n^{2 + }}]} \over {[C{u^{2 + }}]}}$ ........ (1)

Substituting n = 2, E $^\circ$ = 1.1 and $[Z{n^{2 + }}] = 10$ and $[C{u^{2 + }}] = 1$ in Eq. (1), we get

$\Delta G = ( - 2 \times F \times 1.1) + 2.303RT\log {{10} \over 1}$

= 2.303 RT $-$ 2.2 F

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