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  • For the reduction of silver ions with copper metal, the standard cell potential was found to be + 0.46 V at 25°C. The value of st

For the reduction of silver ions with copper metal, the standard cell potential was found to be + 0.46 V at 25°C. The value of standard Gibbs energy, \mathrm{\Delta G^{\circ}} will be (F = 96500 C mol-1)

Option: 1

-98.0 kJ


Option: 2

-89.0 kJ


Option: 3

-89.0 J


Option: 4

-44.5 kJ


Answers (1)

best_answer

Given, For the reduction of silver ions with copper metal, the standard cell potential was found to be + 0.46 V at 25°C.

We know,

\mathrm{E^o_{Ag^+/Ag} = 0.80 \ V}

\mathrm{E^o_{Cu^+/Cu} = 0.52 \ V}

\mathrm{E^o_{Cu^{2+}/Cu} = 0.34 \ V}

From the above values,

\mathrm{E^o_{cell} = 0.46 \ V} , \textup{ will be for below reaction}

\mathrm{Cu +2Ag^+ \rightarrow 2Ag + Cu^{2+}} ;\mathrm{ \ E_{cell}^o = +0.46\ V}

So,

\begin{aligned} \mathrm{\Delta G^o} &=\mathrm{-n F E^{\circ}_{cell}} \\ &=-2 \times 96500 \times 0.46 \\ & \mathrm{ \simeq-89.0 kJ} \end{aligned}

Option 2 is correct.

Posted by

Sanket Gandhi

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