The most common source of copper (Cu) is the mineral chalcopyrite (CuFeS2). How many kilograms of chalcopyrite must be mined to obtain 305 g of pure Cu? Express your answer to three significant figures and include the appropriate units.

Question

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Respuesta :

Mergus Mergus · Answer 1 · 2019-11-04T08:14:01+01:00

Answer:

0.881 kilograms

Explanation:

Mass of [tex]Cu[/tex] = 305 g

Molar mass of [tex]Cu[/tex] = 63.546 g/mol

The formula for the calculation of moles is shown below:

[tex]moles = \frac{Mass\ taken}{Molar\ mass}[/tex]

Thus,

[tex]Moles= \frac{305\ g}{63.546\ g/mol}[/tex]

Moles of [tex]Cu[/tex] = 4.8 moles

Since in the formula of [tex]CuFeS_2[/tex],

1 mole of copper is present in 1 mole of [tex]CuFeS_2[/tex]

So,

4.8 mole of copper is present in 4.8 mole of [tex]CuFeS_2[/tex]

Moles of [tex]CuFeS_2[/tex] = 4.8 moles

Molar mass of [tex]CuFeS_2[/tex] = 183.53 g/mol

The formula for the calculation of moles is shown below:

[tex]moles = \frac{Mass\ taken}{Molar\ mass}[/tex]

Thus,

[tex]4.8\ moles= \frac{Mass}{183.53\ g/mol}[/tex]

Moles of [tex]CuFeS_2[/tex] = 881 g

Also, 1 g = 0.001 kg

So,

0.881 kilograms of chalcopyrite must be mined to obtain 305 g of pure Cu.