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Chemistry

10th Edition
Steven S. Zumdahl + 2 others
ISBN: 9781305957404

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BuyFindarrow_forward

Chemistry

10th Edition
Steven S. Zumdahl + 2 others
ISBN: 9781305957404
Textbook Problem

Bornite (Cu3FeS3) is a copper ore used in the production of copper. When heated, the following reaction occurs:

2 Cu 3 FeS 3 ( s )   +  7O 2 ( g ) 6 Cu ( s )   +   2 FeO ( s )   +   6 SO 2

If 2.50 metric tons of bornite is reacted with excess O2 and the process has an 86.3% yield of copper, what mass of copper is produced?

Interpretation Introduction

Interpretation: The reaction depicting the production of copper by heating bornite (Cu3FeS3) is given. The mass of copper produced is to be calculated.

Concept introduction: The mass of a substance can be obtained by using the number of moles of the substance present and its molar mass. The formula used to calculate the mass of a given substance is,

Massofthesubstance=(Numberofmoles)×(Molarmassofthesubstance)

To determine: The mass of copper produced in the given chemical process.

Explanation

Given

The balanced chemical equation is,

2Cu3FeS3(s)+7O2(g)6Cu(s)+2FeO(s)+6SO2(g)

The given mass of Cu3FeS3 is 2.50metrictons(2.50×106g) .

The given yield of copper is 86.3% .

The molar mass of Cu3FeS3 =3Cu+Fe+3S=((3×63.55)+56+(3×32))g/mol=342.65g/mol

Formula

The number of moles of a substance is calculated by the formula,

Numberofmoles=GivenmassofthesubstanceMolarmassofthesubstance

Substitute the value of the given mass and the molar mass of Cu3FeS3 in the above expression.

NumberofmolesofCu3FeS3=2.50×106g342.65g/mol=7.29×103mol

According to the stated reaction,

2mol of Cu3FeS3 produce 6mol of Cu .

1mol of Cu3FeS3 produces Cu =(62)mol

7

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