Problem 1 (100 points). Please derive the rate law equation ($r_p =???$) for the following enzymatic reaction with two substrate $S_1$ and $S_2$ and one product P: $E + S_1 \overset{k_1}{\underset{k_2}{\rightleftharpoons}} E \cdot S_1$ $E \cdot S_1 + S_2 \overset{k_3}{\underset{k_4}{\rightleftharpoons}} E \cdot S_1S_2$ $E \cdot S_1S_2 \overset{k_5}{\longrightarrow} E + P$
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For the enzymatic reaction below, derive the rate equation for product (P) formation (kobs). What is the rate-determining step? What is the predominant form of the enzyme at substrate saturation? You may apply steady-state assumption to E* and assume k1 >> k2. (4 pts)
Dominador T.
Enzymes are often described as following the two-step mechanism: $$ \begin{aligned} \mathrm{E}+\mathrm{S} & \rightleftharpoons \mathrm{ES} \text { (fast) } \\ \mathrm{ES} &-\rightarrow \mathrm{E}+\mathrm{P} \text { (slow) } \end{aligned} $$ Where $\mathrm{E}=$ enzyme, $\mathrm{S}=$ substrate, and $\mathrm{P}=$ product. If an enzyme follows this mechanism, what rate law is expected for the reaction?
Bryan L.
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