Question

A reaction is catalyzed by an enzyme with parameters k=103 s-1, KM=61·10-6 M and concentration [E]0= 3.5·10-6 M. The initial concentration of the substrate is [S]0= 3.6·10-5 M. Estimate initial reaction rate. Find the substrate’s concentration providing 2-fold decreasing of the reaction rate.

Answer 1

Answer on Question #78557 - Chemistry - Physical Chemistry

Question: A reaction is catalyzed by an enzyme with parameters $k=103$ s-1, KM=61·10-6 M and concentration [E]0= 3.5·10-6 M. The initial concentration of the substrate is [S]0= 3.6·10-5 M. Estimate initial reaction rate. Find the substrate's concentration providing 2-fold decreasing of the reaction rate.

Solution:

$$v_0 = \frac{k \cdot [\bar{x}]_s \cdot [\bar{z}]_s}{[\bar{z}]_s + K_m},$$ $$v_0 = 103 \cdot 3.5 \cdot 10^{-6} \cdot 3.6 \cdot 10^{-5} / (3.6 \cdot 10^{-5} + 61 \cdot 10^{-6}) = 1.3 \cdot 10^{-8} / 9.7 \cdot 10^{-5} = 1.3 \cdot 10^{-4} \text{ M/s}.$$

Answer: $1.3 \cdot 10^{-4} \text{ M/s}$.

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