Answer : The beta-galactosidase's [tex]K_{cat}[/tex] is, [tex]160s^{-1}[/tex]
Explanation :
Michaelis-Menten formula used :
[tex]V_o=\frac{V_{max}}{K_{cat}}[/tex]
where,
[tex]V_o[/tex] = initial concentration = [tex]5\mu mol=5\times 10^{-6}mol[/tex]
[tex]V_{max}[/tex] = maximum concentration = [tex]0.8mmol.s^{-1}=0.8\times 10^{-3}mol.s^{-1}[/tex]
[tex]K_{cat}[/tex] = Michaelis-Menten constant = ?
Now put all the given values in the above formula, we get:
[tex]5\times 10^{-6}mol=\frac{0.8\times 10^{-3}mol.s^{-1}}{K_{cat}}[/tex]
[tex]K_{cat}=160s^{-1}[/tex]
Therefore, the beta-galactosidase's [tex]K_{cat}[/tex] is, [tex]160s^{-1}[/tex]
