$2\mathrm{.}23.$ Mechanism for enzyme catalyzed reactions. To explain the kinetics of en$-$

zyme$-$substrate reactions, Michaelis and Menten $(1913)$ came up with the

following mechanism, which uses an equilibrium assumption

and where $E_0$ represents the total enzyme and $E$ represents the free

unattached enzyme.

G$.$ E$.$ Briggs and J$.$ B$.$ S$.$ Haldane, Biochem J$.,19,338(1925),$ on the

other hand, employed a steady$-$state assumption in place of the equilibrium

assumption

What final rate form $-r_A$ in terms of $[A],[E_0],k_1,k_2,$ and $k_3$ does

$($a$)$ the Michaelis$-$Menten mechanism give?

$($b$)$ the Briggs$-$Haldane mechanism give?