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Question
125 cm3 of ethane is burnt in just sufficient air (containing 20% oxygen by volume). Find the total volume of the mixture at constant temperature and pressure.
\[\ce{C2H6 + 7O2 -> 4CO2 + 6H2O}\]
Numerical
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Solution
Given, 125 cm3 C2H6
1. Oxygen required:
`125 xx 7/2`
= 437.5 cm3
2. Air required:
Air contains 20% O2:
`(437.5 xx 100)/20`
= 2187.5 cm3
Nitrogen in air:
2187.5 − 437.5
= 1750 cm3
3. Gases formed:
CO2 = `125 xx 4/2`
= 250 cm3
H2O = `125 xx 6/2`
= 375 cm3
Since the question only says constant temperature and pressure and does not say that the mixture is cooled, water remains as water vapour.
Therefore, Total volume = 1750 + 250 + 375 = 2375 cm3
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