1. Penicillin is hydrolyzed and thereby rendered inactive penicillinase, an enzyme present in some penicillin-resistant bacteria. The molecular weight of this enzyme in Staphylococcus aureus is 29.6 kilo Daltons (29.6 kg/mole or 29,600 g/mole or 29,600 ng/nmole) The amount of penicillin hydrolyzed in 2 minute in a 10-ml solution containing 109 g (1 ng) 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. [Hint: Convert everything to the same concentration terms] Show all calculations and include spreadsheets and graphs to determine Km, Vmax and kcat for this enzyme. Make sure your final answers have correct units. [Another hint: Note that [S] and amount hydrolyzed are already in concentration terms. So you don't need to worry about the volume for calculating [S] and V. ] Penicillin concentration (microM) Amount hydrolyzed (nanoM) 1 110 3 250 5 340 10 450 30 580 50 600 i. Plot Vo versus [S] and 1/Vo vs 1/[S] for these data. Does penicillinase appear to obey Michaelis-Menten kinetics? Explain. If so, calculate the value of Km? Show all calculations. Circle your final answer. ii. Calculate the value of Vmax? Show all calculations. Circle your final answer. iii. What is the turnover number of penicillinase under these experimental conditions? Assume three active sites per enzyme molecule. Show all calculations. Circle your final answer.
1. Penicillin is hydrolyzed and thereby rendered inactive penicillinase, an enzyme present in some penicillin-resistant bacteria. The molecular weight of this enzyme in Staphylococcus aureus is 29.6 kilo Daltons (29.6 kg/mole or 29,600 g/mole or 29,600 ng/nmole) The amount of penicillin hydrolyzed in 2 minute in a 10-ml solution containing 109 g (1 ng) 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. [Hint: Convert everything to the same concentration terms] Show all calculations and include spreadsheets and graphs to determine Km, Vmax and kcat for this enzyme. Make sure your final answers have correct units. [Another hint: Note that [S] and amount hydrolyzed are already in concentration terms. So you don't need to worry about the volume for calculating [S] and V. ] Penicillin concentration (microM) Amount hydrolyzed (nanoM) 1 110 3 250 5 340 10 450 30 580 50 600 i. Plot Vo versus [S] and 1/Vo vs 1/[S] for these data. Does penicillinase appear to obey Michaelis-Menten kinetics? Explain. If so, calculate the value of Km? Show all calculations. Circle your final answer. ii. Calculate the value of Vmax? Show all calculations. Circle your final answer. iii. What is the turnover number of penicillinase under these experimental conditions? Assume three active sites per enzyme molecule. Show all calculations. Circle your final answer.
Chapter21: Heparin Infusion Calculations
Section: Chapter Questions
Problem 1.3P
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