At `100^(@)"C"`, benzene & toluene have vapour pressure of 1375 & 558 torr respectively. Assuming these two form an ideal binary solution, calculate the composition of the solution that boils at 1 atm & `100^(@)"C"`. What is the composition of vapour issuing at these conditions?

Answer

`X_(b)=0.2472,Y_(b)=0.4473`

Explanation

`"P"_("total")="X"_("benzene")("P"_("benzene")^(0)-"P"_("benzene")^(0))+"P"_("toluene")^(0)`
`760="X"_("benzene")(1375-558)+558`
`"X"_("benzene")=0.2472`
`"Y"_("benzene")=("X"_("benzene")xx"P"_("benzene")^(0))/("P"_("total"))=(0.2472xx1375)/(760)=0.4473`