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Assignment: Solve Example $8-5$ Fogler $5^{th}$ Ed using Mathcad.

Example $8-5$ Multiple Gas$-$Phase Reactions in a PBR

The following complex gas$-$phase reactions follow elementary rate laws

$(1)A+2BC$

$(2),2A+3CD$

$-r_{1A}^{\text{'}}=k_{1A}{C}_A{C}_B^2$

$-r_{2C}^{\text{'}}=k_{2C}{C}_A^2{C}_C^3$

and take place isothermally in a PBR$.$ The feed is equimolar in A and $B$ with $F_{A0}=10mo\frac{l}{m}in$ and the volumetric flow rate is $100d\frac{m^3}{m}in.$ The catalyst weight is $1,000kg,$ the pressure drop is $=0\mathrm{.}0019k{g}^{-1},$ and the total entering concentration is $C_{T0}=0\mathrm{.}2mo\frac{l}{d}{m}^3.$

$k_{1A}=100(\frac{d{m}^9}{mo{l}^2*kg-\text{c}\text{a}\text{t}*min})$ and $k_{2C}=1,500(\frac{d{m}^{15}}{mo{l}^4*k{g}^{\text{c}\text{a}\text{t}}*min})$

$($a$)$ Plot and analyze $F_A,F_B,F_C,F_D,y,$ and tilde$(S{)}_{\frac{C}{D}}$ as a function of catalyst weight, $W.$

$($b$)$ Plot P$/$Po vsW

$26$

Use Ergun eq in terms of $F_T$:$\frac{dy}{dW}=-\frac{}{2y}\frac{T}{T_0}\frac{F_T}{F_{T0}}$