Consider the following mechanism for the enzyme-catalyzed...

Name: Problem 72, Chapter 14: Chemistry
Uploaded: 2020-11-29T22:21:22-08:00
Duration: 2 min 43 s
Channel: David Collins
Description: Consider the following mechanism for the enzyme-catalyzed reaction: 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 the forward reactionlis equal to the rate of the reverse reaction.).

Consider the following mechanism for the enzyme-catalyzed reaction: 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 the forward reactionlis equal to the rate of the reverse reaction.).

Consider the following mechanism for the enzyme-catalyzed reaction:
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 the forward reactionlis equal to the rate of the reverse reaction.).

Key Concepts

Enzyme Catalysis

Enzyme catalysis involves biological molecules that accelerate chemical reactions by lowering activation energies, allowing reactions to proceed much faster than they would without the enzyme. This concept underpins much of biochemistry, as enzymes facilitate the complex and highly specific reactions necessary for life.

Michaelis-Menten Kinetics

Michaelis-Menten kinetics is a fundamental model used to describe the rate of enzyme-catalyzed reactions. It characterizes how reaction velocity depends on substrate concentration through the formation and breakdown of an enzyme-substrate complex, leading to parameters like Vmax and the Michaelis constant (Km) that describe enzyme efficiency.

Equilibrium Assumption

The equilibrium assumption (or rapid equilibrium approximation) posits that the formation and dissociation of the enzyme-substrate complex reach a state of balance quickly relative to the subsequent product formation. This simplification allows one to express the concentration of the ES complex in terms of the enzyme and substrate concentrations, facilitating the derivation of the overall rate law.

Rate Law Derivation

Rate law derivation in enzyme kinetics involves expressing the reaction velocity as a function of the concentrations of enzyme and substrate. By incorporating the equilibrium condition for the formation of the enzyme-substrate complex, the derivation connects the microscopic binding events with the macroscopic rate of reaction, yielding an equation that relates measurable concentrations to the reaction rate.

Enzyme-Substrate Complex (ES)

The enzyme-substrate complex is a transient intermediate formed when an enzyme binds to a substrate. This complex is central to the reaction mechanism, as its formation and breakdown (either reverting to free enzyme and substrate or proceeding to form product) determine the overall reaction rate.

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