Antibiotic-resistant bacteria have an enzyme, penicillinase, that catalyzes the decomposition of the antibiotic. the molecular mass of penicillinase is 31200 g/mol. the turnover number of the enzyme at 28 °c is 2.00 × 103 s–1. if 4.10 μg of penicillinase catalyzes the destruction of 2.83 mg of amoxicillin, an antibiotic with a molecular mass of 364 g/mol, in 29.6 seconds at 28 °c, how many active sites does the enzyme have? assume that the enzyme is fully saturated under the conditions described above.

The number of  active sites enzyme have is 1.

Explanation:

Mass of penicillinase = 4.10 μg =

1 g = 1000000 μg

The turnover number of the enzyme at 28 °C =

Moles of penicillinase =

Mass of antiboitic-amoxicillin =2.83 mg =

Moles of amoxicillin =

Moles of reactant which are converted into product per second:

=

Moles of product converted in 29.6 seconds:

Number of sites:

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