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(a) Plot V0 versus [S] and 1/V0 versus 1/[S] for these data. Does penicillinase

ID: 850235 • Letter: #

Question

(a) Plot V0 versus [S] and 1/V0 versus 1/[S] for these data. Does penicillinase appear to obey Michaelis-Menten kinetics? If so, what is the value of KM?

(b) What is the value of Vmax?

(c) What is the turnover number of penicillinase under these experimental conditions? Assume one active site per enzyme molecule.

Alright!!!!!!!!!!!!!!! I got

(a) Yes. Km = 5.2 10-6 M.

(b) Vmax = 6.8 10-10 mol minute-1

c) I NEED A STEP BY STEP SOLUTION OF HOW THEY ARE CALCULATING THE TOTAL ENZYME CONC. AND KCAT. please. In sec^-1

Destroying the Trojan horse. Penicillin is hydrolyzed and thereby rendered inactive by penicillinase (also known as ²-lactamase), an enzyme present in some resistant bacteria. The mass of this enzyme in Staphylococcus aureus is 29.6 kd. The amount of penicillin hydrolyzed in 1 minute in a 10-ml solution containing 10-9 g of purified penicillinase was measured as a function of the concentration of penicillin. Assume that the concentration of penicillin does not change appreciably during the assay. (a) Plot V0 versus [S] and 1/V0 versus 1/[S] for these data. Does penicillinase appear to obey Michaelis-Menten kinetics? If so, what is the value of KM? (b) What is the value of Vmax? (c) What is the turnover number of penicillinase under these experimental conditions? Assume one active site per enzyme molecule. Alright!!!!!!!!!!!!!!! I got (a) Yes. Km = 5.2 ½ 10-6 M. (b) Vmax = 6.8 ½ 10-10 mol minute-1 c) I NEED A STEP BY STEP SOLUTION OF HOW THEY ARE CALCULATING THE TOTAL ENZYME CONC. AND KCAT. please. In sec^-1

Explanation / Answer

To calculate the Concentration of the enzyme use the data given in the statement mass is 29.6 Kd this is equal to 29 600 g/gmol , the mass of the penicillase is 1 x 10-9 grams

moles = mass / molar mass = 1 x 10-9 grams / 29 600 g/gmol

moles = 3.38 x 10-14

to calculate the turnover numbe use the equation

Vmas / [Et] = 6.8 x 10-10 / 3.38 x 10-14 = 20 128 / min

if we want it in seconds, apply

20 128 / min * 1 min / 60 seconds = 335.5 sec-1