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Question

Under constant temperature and pressure 50 ml of gaseous mixture of acetylene and ethylene if taken in a ratio of a:b requires 700 ml of air containing 20 % by volume O2 for complete combustion. Calculate the volume of air required for complete combustion of a mixture having ratio b:a at same conditions of temperature and pressure.

A
700 ml
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B
675 ml
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C
135 ml
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D
140 ml
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Solution

The correct option is B 675 ml
Acetylene and ethylene are taken in a ratio of a:b.
Acetylene C2H2a+52O25a/22CO2+H2O
Ethylene C2H4b+3023b2CO2+2H2O
This mixture requires 700 ml of air containing 20 % by volume O2 for complete combustion.
52a+3b=700×0.2 ........(1)
a+b=50 ........(2)
Solving equation 1 and 2, we get
a=20,b=30
If the ratio of acetylene and ethylene is b:a, then
5b2+3a=V×0.2
52×30+3×20=V×0.2135=V×0.2V=675 ml

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