Only need part B$.$ Please show all work.

Completely$-$Mixed Membrane Design

a$)$

Use of the Complete$-$Mixing Model for Membrane Design. A membrane having a thick$-$

ness of $2{10}^{-3}cm,$ permeability $P_A^{\text{'}}=400{10}^{-10}c{m}^3(STP)*\frac{cm}{s*c{m}^2*cmHg},$

and ${}^{**}=10$ is to be used to separate a gas mixture of A and $B.$ The feed flow rate is

$L_f=2{10}^{-3}c{m}^3($STP$)/$s and its composition is $x_f=0\mathrm{.}413.$ The feed$-$side pressure is

$80cmHg$ and the permeate$-$side pressure is $20cmHg.$ The reject composition is to

be $x_o=0\mathrm{.}30.$ Using the complete$-$mixing model, calculate the permeate composition,

fraction of feed permeated, and membrane area.

Ans. $y_p=0\mathrm{.}678$

b$)$ For the same membrane conditions in part a$)$ above, determine the values of $y_p$ and $x_o$ as a

function of the fraction of the feed permeated, $,$ from in increments of $0\mathrm{.}2$ and plot on a

graph that is clearly labeled and easy to read.