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Calculate the amount of copper deposited on the cathode when a current of 5 amperes is passed through a copper sulfate solution for a duration of 30 minutes. The molar mass of copper is 63.55 g/mol and the Faraday constant is 96500 C/mol. The electrode area is 10 cm² and the copper sulfate solution has a concentration of 0.1 M. Assume 100% efficiency in the electrochemical reaction.

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To calculate the amount of copper deposited on the cathode, we can use Faraday's law of electrolysis, which states that the mass of a substance deposited or dissolved at an electrode is directly proportional to the amount of charge passed through the electrolyte.First, let's find the total charge passed through the solution. Charge  Q  = Current  I   Time  t where I = 5 A  amperes  and t = 30 minutes = 1800 seconds  since 1 minute = 60 seconds Q = 5 A  1800 s = 9000 C  coulombs Now, we can use Faraday's law to find the moles of copper deposited:Moles of copper  n  = Charge  Q  /  Faraday constant  F   number of electrons involved in the reaction For the copper sulfate solution, the half-reaction for the deposition of copper is:Cu + 2e  CuSo, the number of electrons involved in the reaction is 2.n = 9000 C /  96500 C/mol  2  = 0.0468 molNow, we can find the mass of copper deposited using the molar mass of copper:Mass of copper = Moles of copper  Molar mass of copperMass of copper = 0.0468 mol  63.55 g/mol = 2.976 gTherefore, the amount of copper deposited on the cathode is approximately 2.976 grams.

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