Example Problem $2$

The effect of inhibitor I was studied in a batch reactor.

Run $1([S{]}_0=600\frac{\text{m}\text{o}\text{l}}{m^3},[E{]}_0=8\frac{\text{m}\text{o}\text{l}}{m^3},[I{]}_0=0)$

Run $2([S{]}_0=800\frac{\text{m}\text{o}\text{l}}{m^3},[E{]}_0=8\frac{\text{m}\text{o}\text{l}}{m^3},[I{]}_0=100\frac{\text{m}\text{o}\text{l}}{m^3})$

$($a$)$ Find rate equation in the absence & presence of inhibitor.

Use all data in each case.

$($b$)$ Comment on the type of inhibition.