Do This example on MATHCAD and also use the Ergmund Equation: Example $7$ Fogler $5^{th}$ and of ${?}^{th}Ed$

This proga Fogler $3$rd Ed$.$ Pressure drop in PBR

CHE $3530$

PTA

and the

Define parameters and rate law

$\{\begin{array}{c}\text{:}{E}_n=-0\mathrm{.}15\\ y_{A0}*\\ -rA=\frac{\text{k}\text{p}\text{r}\text{i}\text{m}\text{e}(1-x)}{(1+*x)}(\frac{P}{P_0})& (for\text{s}\text{t}\text{o}\text{i}\text{c}\text{h}\text{i}\text{o}\text{m}\text{e}\text{t}\text{r}\text{i}\text{c}\text{f}\text{e}\text{e}\text{d})eq& E_{4-6\mathrm{.}8}\end{array}$

kprime :$=0\mathrm{.}026eq{E}_{4-6\mathrm{.}8}$

Following is the initial conditions for the problem. The first is the conversion at $W=0$ and the second is the pressure relation $\frac{P}{P_0}$ at $W=0.$

$ini{t}_v$als $=(\frac{0}{1})$

Differential equations given by E$4-7\mathrm{.}3$ and E$4-7\mathrm{.}4.$ Here $x_0$ is the conversion $(x)$ and $x,$ is P$/$Po$.$

$D(w,x)=\left[\begin{array}{c}\frac{\text{k}\text{p}\text{r}\text{i}\text{m}\text{e}(1-x_0)x_1}{F_{AG}(1+x_0)}\\ -a\frac{(1+x_0)}{2x_1}\end{array}\right]$

PBR Design Equation dX$/$ow

Other parameters:

$ini{t}_W=0$

$fina{l}_W=60$

Nsteps $=10000$

Units and Data:

$F_{A_{10}}-=$lbmo$\frac{l}{h}$

$k^{\text{'}}-=$lbmo$\frac{l}{h-\text{l}\text{b}\text{c}\text{a}\text{t}}$

$a-=(lbcat{)}^{-1}$

$W-=$lbcat

$y_{A0}=0\mathrm{.}30$