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30. During the industrial high-temperature electrolysis of molten (fused) , how long must a steady cElectrochemistry Chemistry Question

Question

30. During the industrial high-temperature electrolysis of molten (fused) $NaCl$, how long must a steady current of 3.0 A be passed to produce exactly 0.10 moles of pure $Cl_2$ gas at the anode? (1 F = 96500 C)

Answer: B

💡 Solution & Explanation

Anode: $2Cl^- \rightarrow Cl_2 + 2e^-$. 0.10 mol $Cl_2$ requires 0.20 mol of electrons (0.20 F). Total charge $Q = 0.20 \times 96500 = 19300 C$. Time $t = Q/I = 19300 / 3.0 = 6433.3$ seconds. In minutes: $6433.3 / 60 \approx 107.2$ minutes.

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