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Question

100 g of propane is completely reacted with 1000g of oxygen.The mole fraction of carbon dioxide in the resulting mixture is x×102.The value of 'x' is (Rounded off to the nearest integer) is
[Atomic weight :H=1.008;C=12.00;O=16.00]

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Solution

100 g of propane = 2.27mol
1000g oxygen= 31.25 mol
C3H8(g)+5O2(g)3CO2(g)+4H2O(l)
From the equation 1 mol of propane reacts with 5 mol of oxygen to give 3 moles of carbon dioxide and 4 moles of water
So, by stoichiometric calculations:
2.27 mol of propane will react with 11.35 mol oxygen to give 6.81 mol carbon dioxide and 9.08 mol water
C3H8(g)+5O2(g)3CO2(g)+4H2O(l)t=0 2.27 31.25 0 0t= 0 19.9 6.81 9.08
mole fraction of CO2 in the final reaction mixture (heterogenous)
XCO2=6.8119.9+6.81+9.08
=0.1902=19.02×102
Value of x is 19

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