If an enzyme follows this mechanism, what rate law is expected for the reaction? Use EE for [E][E], SS for [S][S], EsEs for [ES][ES] and kk for the rate constant.
Added by Taylor I.
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In this case, we have the enzyme (E), substrate (S), enzyme-substrate complex (ES), and the rate constant (k). Show more…
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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?
Consider the following mechanism for the enzymecatalyzed reaction: $$ \begin{array}{r} \mathrm{E}+\mathrm{S} \underset{k-1}{\stackrel{k_{1}}{\sum_{-1}}} \mathrm{ES} \\ \mathrm{ES} \stackrel{k_{2}}{\longrightarrow} \mathrm{E}+\mathrm{P} \end{array} $$ Derive an expression for the rate law of the reaction in terms of the concentrations of $\mathrm{E}$ and $\mathrm{S}$. (Hint: To solve for [ES], make use of the fact that, at equilibrium, the rate of forward reaction is equal to the rate of the reverse reaction.
Consider the following mechanism for the enzymecatalyzed reaction: $$\mathrm{E}+\mathrm{S} \frac{k_{1}}{k_{-1}} \mathrm{ES} \quad \text { (fast equilibrium) }$$ $$\mathrm{ES} \stackrel{k_{2}}{\longrightarrow} \mathrm{E}+\mathrm{P} \quad \text { (slow) }$$ Derive an expression for the rate law of the reaction in terms of the concentrations of E and S. (Hint: To solve for [ES], make use of the fact that, at equilibrium, the rate of forward reaction is equal to the rate of the reverse reaction.)
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