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A solution of aluminium chloride is electrolysed for 30 minutes using a current of 2 A . The amount of the aluminium dep…

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A solution of aluminium chloride is electrolysed for 30 minutes using a current of 2 A . The amount of the aluminium deposited at the cathode is ________.
[Given : molar mass of aluminium and chlorine are \(27gmo{l}^{-1}\) and \(35.5gmo{l}^{-1}\) respectively]

[JEE Main 2025, 22 Jan (Shift 1)]

a

660 g

b

0.441 g

c

0.336 g

d

1.007 g

✓ Correct answer: c)

0.336 g

Explanation

Using Faraday's laws of electrolysis,

\(W=Z\times I\times t\)

Given:

\(I=2A,t=30min=30\times 60sec\)

\(∴W=\frac{M}{nF}\times I\times t\left(∵Z=\frac{M}{nF}\right)\\ W=\frac{27}{3\times 96500}\times 2\times 30\times 60\)


\(W=0.336g\)

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