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Question

# A mixture of carbon monoxide and carbon dioxide is found to have a density of 1.7 g/lit at S.T.P. The mole fraction of carbon monoxide is:

A
0.37
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B
0.4
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C
0.3
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D
0.5
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Solution

## The correct option is D 0.37The molecular weight of the mixture (Mmix) is calculated by using the ideal gas equation.At STP,T=273 KP=1 atmMmix=dRTPmix.Substitute values in the above expression:Mmix=1.7×0.0821×2731=1.7×22.4gms The molecular weight of the mixture (Mmix) can also be calculated by using the expression, Mmix=XCO×MCO+(1−XCO).MCO2Here, XCO and MCO represents the mole fraction and molecular weight of CO and (1−XCO) and MCO2 represents the mole fraction and molecular weight of CO2.Thus 1.7×22.4=XCO×28+(1−XCO)×44 XCO=0.37The mole fraction of carbon monoxide is 0.37.

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