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Question
Calculate the volume of oxygen required to burn completely a mixture of 18.2 cm3 of ethylene and 9.4 cm3 of hydrogen to carbon dioxide.
\[\ce{C2H4 + 3O2 -> 2CO2 + 2H2O}\]
\[\ce{2H2 + O2 -> 2H2O}\]
Numerical
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Solution
1. Combustion of Ethylene (C2H4):
Equation: \[\ce{C2H4 + 3O2 -> 2CO2 + 2H2O}\]
By Gay-Lussac's Law,
1 vol. of C2H4 requires = 3 vol. of O2
For 18.2 cm2 of C2H4:
Volume of O2 = 18.2 × 3
= 54.6 cm3
2. Combustion of Hydrogen (H2):
Equation: \[\ce{2H2 + O2 -> 2H2O}\]
By Gay-Lussac's Law,
2 vol. of H2 requires = 1 vol. of O2
For 9.4 cm3 of H2:
Volume of O2 = `9.4/2`
= 4.7 cm3
Total Oxygen Required = 54.6 + 4.7 = 59.3 cm3
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