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JEE Advanced levelNumerical answerDifficulty 3 of 3mt183

An impure copper anode of mass 800 g contains 95.0% Cu, 2.60% Zn, 1.40% Fe and 1.00% of Ag and Au (by mass). It is dissolved completely in acidified electrolysis at a constant current of 40.0 A. Assume 100% current efficiency, that Cu, Zn and Fe dissolve as , and , and that Ag and Au fall as anode mud. Using Cu = 63.5, Zn = 65, Fe = 56 and F = 96500 C/mol, find the time required in hours (answer to two decimals).

Numerical answer type, answer in h, tolerance 0.01.

Answer: 16.74 h

Moles dissolved: Cu = 760/63.5 = 11.9685, Zn = 20.8/65 = 0.3200, Fe = 11.2/56 = 0.2000; total = 12.4885 mol, each releasing 2 electrons. Charge = 2 x 96500 x 12.4885 = 2410281 C. Time = Q/I = 60257 s = 16.74 h.
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