Leoture $12$: Reaction Kinetics

Problem

Using the relationship given below for an enzyme$-$catalysed reaction in a batch reactor, derive an expression that can be used to predict the reduction of substrate concentration with time in the given reactor. Assuming the values of $K=35m\frac{g}{L}=$ min and $K_m=95m\frac{g}{L}.$ Determine the time required to reduce the substrate concentration from $2000m\frac{g}{L}$ to $200m\frac{g}{L}.$

$R_c=-\frac{KC}{K_m+C}$

Where, $R_c=$ reaction rate $(d\frac{C}{d}t)$

$K=$ maximum reaction rate $(m\frac{g}{L}-$min$)=35$

$C=$ substrate concentration $(m\frac{g}{L})$

$27$:$\frac{34}{31}$:$37$