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What is the mass of copper deposited on the cathode when a current of 5 A is passed through a solution of copper (II) sulfate for 2 hours? Given that the atomic mass of copper is 63.5 g/mol and the Faraday constant is 96485 C/mol.

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To calculate the mass 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, we need to find the total charge passed through the solution. The charge  Q  can be calculated using the formula:Q = I  twhere I is the current  5 A  and t is the time  2 hours . Since the time is given in hours, we need to convert it to seconds:2 hours   3600 seconds/hour  = 7200 secondsNow, we can calculate the charge:Q = 5 A  7200 s = 36000 CNext, we need to find the number of moles of electrons  n  passed through the solution using the Faraday constant  F :n = Q / Fn = 36000 C / 96485 C/mol  0.373 molSince copper  II  ions require 2 moles of electrons to be reduced to copper metal  Cu + 2e  Cu , we can find the number of moles of copper deposited  n_Cu  as follows:n_Cu = n / 2n_Cu = 0.373 mol / 2  0.1865 molFinally, we can calculate the mass of copper deposited  m_Cu  using the atomic mass of copper  M_Cu = 63.5 g/mol :m_Cu = n_Cu  M_Cum_Cu = 0.1865 mol  63.5 g/mol  11.84 gSo, the mass of copper deposited on the cathode is approximately 11.84 grams.

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