Discuss the Michaelis$-$Menten equation and its parameters in enzyme kinetics. Explain the significance of $V_{\text{m}\text{a}\text{x}}$ and $K_m$ in the context of enzyme$-$substrate interactions. Describe how changes in substrate concentration affect enzyme kinetics according to the model.

Q$.12$ Set. $($A$)$ M$,$ after $2$min,$5\%$ of the substrate was converted. How much of the substrate was consume after $30$min $?$

$[$use the equation:

$v_4=\frac{V_{-}|s|}{K_{-}+[S]}$

Q$.12$ Set. $($B$)$

In batch enzyme reaction kinetics, given $K_m={10}^{-3}M$ and substrate concentration $S_0=3{10}^{-5}M,$ after $2$min,$5\%$ of the substrate was converted. How much of the substrate was consumed after $20$min $?$

$[$use the equation:

$v_0=\frac{v_{-m}[s]}{K_{-}+[s]}$

$5$ Marks

Q$.12$ Set. $($C$)$

In batch enzyme reaction kinetics, given $K_m={10}^{-3}M$ and substrate concentration $S_0=3{10}^{-5}M,$ after $2$min,$5\%$ of the substrate was converted. How much of the substrate was consumed after $10$min $?$

$[$use the equation:

$v_6=\frac{v_{-1}[5]}{x_{-}+[9]}$

$]$