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Question

$$96500$$ coulombs of electric current liberates from $$CuSO_{4}$$ solution

A
$$31.75\ gm\ Cu$$
B
$$63.5\ mg\ Cu$$
C
$$96500\ gm\ Cu$$
D
$$100\ gm\ Cu$$
Solution
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Correct option is B. $$31.75\ gm\ Cu$$
At the cathode
$$Cu^{2+} (aq) + 2e- \rightarrow Cu(s)$$

At the anode $$4OH-(aq) \rightarrow2H_2O (l) + O_2(g) + 4e^-$$

Faraday’s constant = $$96500C/mol$$
To deposit 1 mole of copper, we need $$2*96500C$$ So, $$96500 C$$ will deposit 0.5 moles of copper = $$0.5*63.5 = 31.75g$$

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