A flash chamber operating at $80C$ and $110$kPa is separating $100$kmo$\frac{l}{h}$ of a feed that is a $3-$

component mixture of species $1,2$ and $3.$ The feed composition is $z_1=0\mathrm{.}42,z_2=0\mathrm{.}38$ and

$z_3=0\mathrm{.}20.$

a$)$ Calculate the bubble point and dew point pressure for this mixture.

b$)$ Would flashing occur at the given temperature $(80C)$ and pressure $(110$kPa$)?$

c$)($python$)$ Find the product compositions and flow rates.

You may assume that Raoult's law is applicable. The vapour pressures of the pure species at

$80C$ are as follows: $P_1^{\text{s}\text{a}\text{t}}=195\mathrm{.}75$kPa,$P_2^{\text{s}\text{a}\text{t}}=97\mathrm{.}84$kPa and $P_3^{\text{s}\text{a}\text{t}}=50\mathrm{.}32$kPa.