Question

# The vapour pressure of pure benzene and toluene are 160 and 60 torr respectively. The mole fraction of toluene in the vapour phase in contact with an equimolar solution of benzene and toluene is :

A
0.5
B
0.6
C
0.27
D
0.73

Solution

## The correct option is B 0.27For the equimolar solution of benzene and toluene, the mole fraction of benzene and toluene are $$0.5$$ each.Total pressure $$\displaystyle P =P_B+P_T= P^0_B X_B + P^o_TX_T$$$$\displaystyle P = 160 \times 0.5 + 60 \times 0.5$$ $$\displaystyle P = 110$$The mole fraction of toluene in the vapour phase in contact with an equimolar solution of benzene and toluene. $$\displaystyle Y_T= \dfrac {P_T}{P }$$$$\displaystyle Y_T= \dfrac {P^o_TX_T}{P }$$ $$\displaystyle Y_T = \dfrac {60 \times 0.5}{110} = 0.27$$Hence, the correct option is C.Chemistry

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