A dalton is another name for atomic mass unit. For example, a protein with a mass of $15kd$ means that the MW is $15,000\frac{g}{m}ol.)$

$\backslash$table$[[\backslash$table$[[],[($micromolar$)]],\backslash$table$[[$Amount hydrolyzed$],[($nanomoles$)]]],[1,0\mathrm{.}11],[3,0\mathrm{.}25],[5,0\mathrm{.}34],[10,0\mathrm{.}45],[30,0\mathrm{.}58],[50,0\mathrm{.}61]]$

a$.$ Plot $V_0$ versus $[$S$]$ for these data. Does penicillinase appear to obey MichaelisMenten kinetics? If so$,$ what is the value of $K_m?$

b$.$ What is the value of $V_{\text{m}\text{a}\text{x}}?$ Indicate on the plot how you determined $K_m$ and $V_{\text{m}\text{a}\text{x}}.$

c$.$ Write the Michaelis$-$Menten equation and show the derivation of the Lineweaver$-$Burke equation.

d$.$ Plot $\frac{1}{V_0}$ versus $\frac{1}{S}.$

e$.$ Determine $K_m$ and $V_{\text{m}\text{a}\text{x}}$ using the Lineweaver$-$Burke plot. Indicate on the plot how you determined $K_m$ and $V_{\text{m}\text{a}\text{x}}.$

f$.$ Assume there is one active site per enzyme molecule. What is the turnover number of penicillinase under these experimental conditions?

g$.$ How much time does it take for the penicillinase to hydrolyze one penicillin molecule?