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What is the total number of electrons transferred when a current of 2.0 A flows through a solution of CuSO4 for 15 minutes? Given that the molar mass of CuSO4 is 159.61 g/mol and the Faraday constant is 96,485 C/mol.

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First, we need to find the total charge transferred during the 15 minutes. We can do this using the formula:Charge  Q  = Current  I   Time  t Given that the current  I  is 2.0 A and the time  t  is 15 minutes, we need to convert the time to seconds:15 minutes  60 seconds/minute = 900 secondsNow we can calculate the charge:Q = 2.0 A  900 s = 1800 CNext, we need to find the number of moles of electrons transferred. We can do this using the Faraday constant  F , which is 96,485 C/mol:Moles of electrons  n  = Charge  Q  / Faraday constant  F n = 1800 C / 96,485 C/mol  0.01865 molNow, we know that in the redox reaction of CuSO4, copper  Cu  is reduced from Cu to Cu, which means that each Cu ion gains 2 electrons. Therefore, we need to find the number of moles of Cu ions reduced:Moles of Cu ions = Moles of electrons / 2Moles of Cu ions  0.01865 mol / 2  0.009325 molFinally, we can find the total number of electrons transferred by multiplying the moles of electrons by Avogadro's number  6.022  10 particles/mol :Total number of electrons  0.01865 mol  6.022  10 electrons/mol  1.12  10 electronsSo, the total number of electrons transferred when a current of 2.0 A flows through a solution of CuSO4 for 15 minutes is approximately 1.12  10 electrons.

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