Problem $10$: Consider the following reactions:

Isobutane $($A$)+1-$butene $($B$)$ larr$2,2,3-$trimethylpentane $($C$)$

We have the following thermodynamic data on this system:

The reactor feed mixture consists of a $5$:$1$ ratio of isobutane to $1-$butene.

a$)$ Calculate the equilibrium constant at $T=400K$

b$)$ Calculate the equilibrium constant at $T=500K$

c$)$ Calculate the equilibrium constant at $T=650K$

d$)$ Using law of mass action write an expression for equilibrium constant $K_p.$

e$)$ Write Kp in terms of mole fraction.

f$)$ Write a RICE table for this problem.

$G^{**}=-RTlnK$

$ln\frac{K_{T_2}}{K_{T_1}}=\frac{H^0}{R}[\frac{1}{T_1}-\frac{1}{T_2}]$