Benzene and toluene from nearly ideal solutions. If at 300k, `p_("toluene")^(0)=32.06` mm and `p_("benzene")^(0)=103.01mm`
(a) A liquid mixture is composed of 3 moles of toluene and 2 moles of benzene. If the pressure over the mixture at 300K is reduced, at what pressure does the first vapour form ?
(b) What is the composition of the first trace of vapour formed ?
(c ) If the pressure is reduced further, at what pressure does the last trace of liquid disappear?
(d) What is the composition of the last trace of liquid ?

Explanation

(a) `p=(3)/(5)xx32.06+(2)/(5)xx103.01`…………..(Eqn.3)
`=60.44mm`
(b) `(1)/(60.44)=(x_(t))/(32.06)+((1-x_(1))/(103.01))`…………(Eqn.5)
`x_(t)=0.3181`
(c ) `(1)/(p)=((3)/(5))/(32.06)+((2)/(5))/(103.01)`………….(Eqn5)
`p=44.25mm`
(d) `44.25=x_(t)xx32.06+(1-x_(t))103.01` ...........(Eqn 3)
`x_(t)=0.8281`