A penicillinase inactivates a penicillin. An enzyme with Mw = 30,000 has only a single active site, kcat = 2,000 s-1 and KM = 5.10-5 M. In response to a treatment with 5 μmol of penicillin, a 1 mL suspension of bacteria releases 0, 5 µg of enzyme. A) What concentration of penicillin would cause the enzyme to react at half the maximum rate? B) A modified penicillin acts as a competitive inhibitor. If the affinity of E for penicillin and for modified penicillin are the same, what concentration of inhibitor reduces the rate of penicillin loss 5-fold with low Cs in the medium?

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
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Chapter18: Chemical Kinetics
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A penicillinase inactivates a penicillin. An enzyme with Mw = 30,000 has only a single active site, kcat = 2,000 s-1 and KM = 5.10-5 M. In response to a treatment with 5 μmol of penicillin, a 1 mL suspension of bacteria releases 0, 5 µg of enzyme.

A) What concentration of penicillin would cause the enzyme to react at half the maximum rate?

B) A modified penicillin acts as a competitive inhibitor. If the affinity of E for penicillin and for modified penicillin are the same, what concentration of inhibitor reduces the rate of penicillin loss 5-fold with low Cs in the medium?

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