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What is the mass of copper deposited on a cathode when a current of 5A is applied for 1 hour in a copper sulfate solution with a concentration of 0.5M? (Molar Mass of Cu: 63.55 g/mol and Faraday's constant: 96,485 C/mol)

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To calculate the mass of copper deposited on the cathode, we can use Faraday's law of electrolysis. First, we need to find the total charge passed through the solution. Total charge  Q  = current  I   time  t Q = 5 A  1 hour   3600 seconds/hour  = 18,000 CNow, we need to find the number of moles of electrons  n  passed through the solution using Faraday's constant  F .n = Q / Fn = 18,000 C / 96,485 C/mol = 0.1865 mol of electronsIn the case of copper sulfate, the reaction at the cathode is:Cu + 2e  CuThis means that 2 moles of electrons are required to deposit 1 mole of copper. So, we need to find the number of moles of copper deposited  n_Cu .n_Cu = n / 2 = 0.1865 mol of electrons / 2 = 0.09325 mol of CuFinally, we can find the mass of copper deposited  m_Cu  using the molar mass of copper  M_Cu .m_Cu = n_Cu  M_Cum_Cu = 0.09325 mol of Cu  63.55 g/mol = 5.92 gSo, the mass of copper deposited on the cathode is approximately 5.92 grams.

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