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Question

One mole of mixture of CH4 and air (containing 80%N2 20%O2 by volume) of a composition such that when underwent combustion gave maximum heat (assume combustion of only CH4. Then which of the statements are correct, regarding composition of initial mixture. (X presents mole fraction)


A

XCH4 =O2 =

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B

XCH4 = =

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C

XCH4=1/6XO2 =XN2 =2/3

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D

Data insufficient

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Solution

The correct option is A

XCH4 =O2 =


CH4+O2CO2+2H2O

Xmole 1-x mole

n(02)= 0.2(1-x)

For complete combustion

nCH41 =no21

x1 =0.2(1x)2

2x =0.2-0.2x

2-2x =0.2

X =x11

XCH4 =111

XO2 =211X(N2)=811


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