A solution has 2:3 molar ratio of toluene to benzene. The vapour pressure of benzene and toluene at 25 degree Celsius are 95 and 28 bar respectively. The mole fraction of toulene vapour is?

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Solution

2:3 molar ratio and its total =2+3=5 so the mole fractions will be 2/5 =0.4 and 3/5=0.6 respectively for toluene and benzene respectively.

partial pressure of toluene =mole fractionvapour pressure =0.428bar=11.2 bar
partial pressure of benzene=0.6*95bar =57 bar.

so total pressure =11.2+57 =68.2 bar

mole fraction of toluene =11.2/68.2=0.164
mole fraction of benzne =57/68.2=0.836

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