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ahrayia [7]
2 years ago
11

Consider the voltaic cellZn(s) + Cu{2+}(aq)--> Zn{2+}(aq)+Cu(s){}=chargeUnder standard conditions, what is the maximum electr

ical work, in Joules that can accomplish if 60 g of copper is plated out?
Chemistry
1 answer:
blondinia [14]2 years ago
3 0

Answer:

Max. work done in 60 g of copper plated out is 200472.14 J

Explanation:

Given cell reaction is:

Zn(s)+Cu^{2+} \rightarrow Zn^{2+}+Cu(s)

Standard reduction potential of Zn electrode (E_{Zn^{2+}/Zn}) is 0.763 V.

Standard reduction potential of Cu electrode (E_{Cu^{2+}/Cu}) is -0.337 V.

Copper acts as cathode and Zinc acts as anode.

Cell potential (E) = E° cathode - E° anode

                           = 0.763 - (-0.337)

                           = 1.10 V

formula for the work done is as follows:

W_{max}=-nFE

Here, n is no. of electron involved in the reaction.

F(Faraday's constant) = 96500

In the given reaction, n = 2

W_{max}=-nFE\\=-2 \times\ 96500 \times 1.10\\=-212300\ J/mol

Therefore, 212300 J work is done by reducting 1 mol of copper.

Copper given is 60 g.

Molecular mass of copper is 63.54 g/mol.

No.\ of\ mol = \frac{60\ g}{63.54\ g/mol}

Max. work done in 60 g of copper plated out is:

W_{max}=212300\ J/mol \times \frac{60\ g}{63.54\ g/mol} \\=200472.14\ J

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