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Q.

A solution has 1:4 molar ratio of pentane and hexane. The vapour pressure of pure hydrocarbons at 20° C are 440mm Hg for pentane and 120 mm of Hg for hexane. The mole fraction of pentane in vapour phase would be

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a

0.200

b

0.478

c

0.547

d

0.786

answer is B.

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Detailed Solution

A=nAV

nA=A×V=1×V

nB=4V

XA=nAnA+nB=V5V=15=0.2

XB=nBnA+nB=4V5V=0.8

PA0=440mm PB0=120mm

PA=PA0.XA

=440×0.2=88mm

PB=PB0.XB

=120×0.2=88mm

PT=PA+PB=184 mm

Mole fraction of pentane vapor

XA1=PAPT=88184=0.478

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