Multiple Choice
Select the best description of the K m.
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6. Enzymes and Enzyme Kinetics
Km Enzyme
Multiple Choice
What is the initial velocity of a reaction when the concentration of substrate is set equal to the Km?
A
V0 is equal to Vmax.
B
V0 is equal to one-half [S].
C
The [S] is so low that V0 is negligible.
D
Not enough information to determine V0.
E
V0 = one-half Vmax.
Verified step by step guidance1
Understand the Michaelis-Menten equation: \( V_0 = \frac{V_{max} [S]}{K_m + [S]} \), where \( V_0 \) is the initial velocity, \( V_{max} \) is the maximum velocity, \( [S] \) is the substrate concentration, and \( K_m \) is the Michaelis constant.
Recognize that the problem states the substrate concentration \( [S] \) is equal to \( K_m \). Substitute \( [S] = K_m \) into the Michaelis-Menten equation.
Substitute \( [S] = K_m \) into the equation: \( V_0 = \frac{V_{max} \cdot K_m}{K_m + K_m} \).
Simplify the equation: \( V_0 = \frac{V_{max} \cdot K_m}{2K_m} \).
Cancel \( K_m \) from the numerator and denominator: \( V_0 = \frac{V_{max}}{2} \). This shows that the initial velocity \( V_0 \) is one-half of \( V_{max} \).
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