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4. In Michaelis-Menten enzyme kinetics, what is the velocity of the reaction when the substrate concentration is equal to KM?
A) ¼Vmax
B) ½Vmax
C) Vmax
D) 2Vmax
Answer Analysis
The correct answer is B.
Rationale: This question involves principles of chemical thermodynamics and kinetics. You must recognize the relationship between two variables in the context of an experiment. The Michaelis-Menten model relates reaction velocity to substrate concentration for a system where a substrate (S) binds reversibly to an enzyme (E) to form an enzyme-substrate complex (ES). The enzyme-substrate complex reacts further, and irreversibly, to generate a product (P) and to release the enzyme unaltered. In summary: E + S ⇆ ES P + E
The Michaelis-Menten equation for this system is:
Let’s break down the variables within this equation:
- Vmax represents the maximum velocity achieved by the system, which occurs at saturating substrate concentrations.
- KM, the Michaelis constant, is the substrate concentration at which the reaction velocity is half of the Vmax.
- Square brackets represent concentration of a substance, therefore [S] refers to the concentration of the substrate.
The question states that the substrate concentration, or [S], is equal to KM. When [S] = KM, v = Vmax/2. Thus, when KM is equal to the substrate concentration, the reaction rate is half its maximal value, or ½Vmax.
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