A solution of aluminium chloride is electrolysed for 30 minutes...

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

27 \mathrm{~g} \mathrm{~mol}^{-1}

and

35.5 \mathrm{~g} \mathrm{~mol}^{-1}

respectively. Faraday constant

\left.=96500 \mathrm{C} \mathrm{mol}^{-1}\right]

Options

A1.660 g
B0.336 g
C0.441 g
D1.007 g

Correct answer

B. 0.336 g

Step-by-step solution

\mathrm{Al}^{1++}+3 \mathrm{e}^{-} \longrightarrow \mathrm{Al}

\begin{aligned} \text{ Moles of electron } & =\frac{2 \times 30 \times 60}{96500} \\ & =\frac{36}{965} \end{aligned}

\begin{aligned} \text{ Moles of } \mathrm{Al} & =\frac{36}{3 \times 965} \\ & =\frac{12}{965} \end{aligned}

\text{ Mass

of }

\mathrm{Al}=\frac{12}{965} \times 27 =0.336 \mathrm{gm}

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