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. The sulfuric acid reacts with the 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)+ CuSO4(aq) Cu(s)+ FeSO4(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 61.mg. Calculate the original concentration of copper(II) sulfate in the sample. Round your answer to 2 significant digits and in g/L.

Explanation / Answer

We are assuming that the Copper sulphate is dry i.e. CuSO4 with molecular mass of 159.609g/mol

Now,

159.609 g of CuSO4 comtain 63.546 g of Cu

The chemist got 61mg of Cu

The amount of CuSO4 which contains 61mg of Cu = 61mg x 159 g / 63.546g = 153.2142mg

i.e. 61 mg of Cu is obtained from 153.2142mg of CuSO4

i.e 500ml of the solution contained 153.2142mg of CuSO4

Amount of CuSO4 in 1000ml = 1L = 153. 2142 x 2 = 306. 43 mg = 0.31g

Answer: Original concentration of CuSO4 = 0.31g/L

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