Question

The number of moles and the mass of carbon dioxide formed by the combustion of 20.0 kg of carbon in an excess of oxygen.

Answer 1

The number of mole and mass of carbon dioxide produced by the combustion of 20.0 kg of carbon in an excess of oxygen are:

1. The number of mole of CO₂ produced is 1666.67 moles

2. The mass of CO₂ produced is 73333.48 g

• We'll begin by calculating the number of mole in 20 Kg of carbon. This can be obtained as follow:

Mass of C = 20 Kg = 20 × 1000 = 20000 g

Molar mass of C = 12 g/mol

Mole of C =?

Mole = mass /molar mass

Mole of C = 20000 / 12

Mole of C = 1666.67 moles

1. Determination of the number of mole of CO₂ produced.

C + O₂ —> CO₂

From the balanced equation above,

1 mole of C reacted to produce 1 mole of CO₂.

Therefore,

1666.67 moles of C will also react to produce 1666.67 moles of CO₂.

Thus, 1666.67 moles of CO₂ were obtained from the reaction.

2. Determination of the mass of CO₂ produced.

Mole of CO₂ = 1666.67 moles

Molar mass of CO₂ = 12 + (16×2) = 44 g/mol

Mass of CO₂ =?

Mass = mole × molar mass

Mass of CO₂ = 1666.67 × 44

Mass of CO₂ = 73333.48 g

Thus, the mass of CO₂ produced from the reaction is 73333.48 g

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