$(30$ points$)$

I have a feed stream which has three components in it$.$ Component $A$ is very different from Component $C$; they

are relatively easy to separate from each other. But Component B is a structured such that it is similar to both

Components A and C$,$ so it's not so easy to separate A from B$,$ or B from C$.$

The amount of $B$ in the two streams leaving the separator is the same. In the waste stream, the amount of $C$ is

three times the amount of B$.$

There are a lot of thinks which we need to know. Find the mole fractions of all components in all three streams.

Feed Stream

Mole fraction $A=?$

Mole fraction $B=0\mathrm{.}20$

Mole fraction $C=?$

Waste

Mole fraction $A=0$

Mole fraction $B=??$

Mole fraction $C=??$

Product stream

Mole fraction $A=??$

Mole fraction $B=??$

Mole fraction $C=0$