For the cracking reaction C$3$

H$8$

$($g$)$ C$2$

H$4$

$($g$)+$ CH$4$

$($g$)$ the

equilibrium conversion is negligible at $300$K but becomes appreciable at

temperatures above $500$K $.$ For a pressure of $1$ bar, determine

$[12]$

i$)$ Fractional conversion at $600$K

ii$)$ The temperature at which the fractional conversion is $80\%$