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Sagot :
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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