What is the number of faraday required to produce $\cdot 0.18 \mathrm{~g}$ aluminium at cathode during…

What is the number of faraday required to produce $\cdot 0.18 \mathrm{~g}$ aluminium at cathode during electrolysis of molten $\mathrm{AlCl}_3$ ? (Molar mass of $\mathrm{Al}=27 \mathrm{~g} \mathrm{~mol}^{-1}$ )
  1. 0.02 F
  2. 0.03 F
  3. 0.25 F
  4. 0.30 F

Solution

$\mathrm{Al}^{3+}+3 \mathrm{e}^{+} \longrightarrow \mathrm{Al}_{(\mathrm{s})}$
1 mol of $\mathrm{Al}(27 \mathrm{~g})$ requires 3 F (3 moles of electrons) $\therefore \quad 0.18 \mathrm{~g} \text { of Al requires }=\frac{3 \times 0.18}{27}=0.02 \mathrm{~F}$

Asked in: MHT CET 2024 (16 May Shift 2)

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