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Q.

The quantity of electricity needed to electrolyse completely 1 M solution of CuSO4,Bi2(SO4)3,AlCl3 and AgNO3 each will be 

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a

2 F, 6 F, 1 F, and 3 F respectively

b

6 F, 2 F, 3 F, and 1 F respectively

c

6 F, 2 F, 1 F, and 3 F respectively

d

2 F, 6 F, 3 F, and 1 F respectively

answer is A.

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Detailed Solution

CuSO4+2eCu+SO42

Bi2(SO4)3+6e2Bi+3SO42

AlCl3+3eAl+3Cl

AgNO3+eAg+NO3

Since, in 1 M CuSO4 solution, 1 M Bi2(SO4)3 solution, 1 M AlCl3 solution and 1 M AgNO3 solution, 2 moles electron, 6 moles electron, 3 moles electron are needed to deposit Cu, Bi, Al and Ag at the cathode respectively. 

But one mole electron = 1 F electricity 

That's why number of faradays required to deposit 1 M of each CuSO4,Bi2(SO4)3,AlCl3 and AgNO3 solution are 2 F, 6 F, 3 F and 1 F respectively 

Alternatively

Number of moles = Number of equivalents ×Valency

1 equivalent is deposited by 1 Faraday

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The quantity of electricity needed to electrolyse completely 1 M solution of CuSO4,Bi2(SO4)3,AlCl3 and AgNO3 each will be