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Faraday's First Law

The amount of...

Question

The amount of chlorine evolved by passing $2$ A of current in an aqueous solution of $N a C l$ for $30$ minutes is:

2.64

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1.32

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3.62

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4.22

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Solution

The correct option is D $1.32$ g
Consider the reaction, $N a C l \to N a^{+} + C l^{-}$
$2 C l^{-} + 2 e^{-} \to C l_{2}$
We know that,
$Q = I \times t = 2 \times 30 \times 60 = 3600$ Coulombs
As, $2 \times 96500$ Cooloumbs produce = $71$ g of $C l_{2}$
So, $3600$ Coulombs will produce $= \frac{71}{2 \times 86500} \times 3600$
$= 1.32 g$ of $C l_{2}$

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