A smelter wants to produce 15.0 kg of Al(s) in exactly 24.0 h by electrolyzing molten…

CHEMISTRY · Single correct · AP · Chemistry · Thermodynamics and Electrochemistry · Thermodynamics and Electrochemistry

Problem

A smelter wants to produce 15.0 kg of Al(s) in exactly 24.0 h by electrolyzing molten Al₂O₃. The process operates at a current efficiency of 82.0 %. For the half-reaction Al³⁺ + 3 e⁻ → Al(s), what average current must be supplied to meet the production goal? (Faraday constant: F = 9.65 × 10^{4} C mol⁻¹; atomic mass of Al = 26.98 g mol⁻¹) (a) 1.52×103 A1.52\times10^{3}\ \text{A} (b) 6.81×103 A6.81\times10^{3}\ \text{A} (c) 2.27×103 A2.27\times10^{3}\ \text{A} (d) 1.87×103 A1.87\times10^{3}\ \text{A}

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