One way in which the useful metal copper is produced is by dissolving the minera

Question

One way in which the useful metal copper is produced is by dissolving the mineral azurite, which contains copper(II) carbonate, in concentrated sulfuric acid. sulfuric the carbonate to produce a blue solution of copper(II) carbonate to produce a blue solution of copper(II) sulfate. Scrap iron is then added to this solution, and pure copper metal precipitates out because of the following chemical reaction: Fe(s) + CusO_4(aq) rightarrow Cu(s) + FesO_4(aq) suppose an industrial quality-control chemist analyzes a sample from a copper processing plant in the following way. He adds powdered iron to a 500. mL copper (II) sulfate sample from the plant until no more copper will precipitate. He then washes, dries, and weighs the precipitate, and finds that it has a mass of 119. mg. Calculate the original concentration of copper (II) sulfate in the sample. Round your answer to 3 significant digits.

Explanation / Answer

m = 119 mg of Cu(s) precipitate

find original concentration via:

mol of Cu = mass/MW

MW = 63.5 g/mol

mol = (119*10^-3)/63.5

mol = 0.001874 mol fo Cu(s)

then

this was in the solution

ratio is

1 mol of Cu(s) = 1 mol of CuSO4(aq)

0.001874 mol of Cu(s) = 0.001874 mol of CuSO4(aq)

MW of CuSO4 = 159.609 g/mol

mass of CuSO4 = mol*MW = (0.001874 *159.609 ) = 0.2991 g

since this was in 500 mL = 0.5 L

then

C = mass/V = (0.2991)/(0.50) = 0.5982 g/L

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