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What is the amount of copper (II) sulfate in a sample of solution if 4.00 coulombs of charge are needed to completely oxidize it at the anode during a coulometric titration? The molarity of the titrant solution is 0.025 M and the volume of the titrant used is 100 mL.

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To solve this problem, we need to find the number of moles of copper  II  sulfate in the sample and then convert it to grams. We can use the following steps:1. Calculate the number of moles of electrons transferred during the oxidation process.2. Determine the stoichiometry of the redox reaction.3. Calculate the number of moles of copper  II  sulfate.4. Convert the moles of copper  II  sulfate to grams.Step 1: Calculate the number of moles of electrons transferred during the oxidation process.The number of moles of electrons  n  can be calculated using the formula:n = Q /  F * z where Q is the charge in coulombs  4.00 C , F is the Faraday constant  96485 C/mol , and z is the number of electrons transferred in the redox reaction. For the oxidation of copper  II  sulfate, the balanced half-reaction is:Cu + 2e  CuSo, z = 2.n = 4.00 C /  96485 C/mol * 2 n = 4.00 C / 192970 C/moln  0.0000207 molStep 2: Determine the stoichiometry of the redox reaction.The balanced redox reaction for the titration of copper  II  sulfate with the titrant is:Cu + 2e  CuSince 2 moles of electrons are required to reduce 1 mole of Cu, the stoichiometry of the reaction is 1:1.Step 3: Calculate the number of moles of copper  II  sulfate.Since the stoichiometry of the reaction is 1:1, the number of moles of copper  II  sulfate is equal to the number of moles of electrons:n CuSO  = n e   0.0000207 molStep 4: Convert the moles of copper  II  sulfate to grams.To convert the moles of copper  II  sulfate to grams, we can use the molar mass of copper  II  sulfate  CuSO , which is approximately 159.61 g/mol:mass CuSO  = n CuSO  * M CuSO mass CuSO   0.0000207 mol * 159.61 g/molmass CuSO   0.0033 gSo, the amount of copper  II  sulfate in the sample of solution is approximately 0.0033 grams.

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