HW #5 F 2023

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University of Toronto *

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Chemistry

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Oct 30, 2023

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Professor Wood CH E 340 Homework #5 Due 9-28-23 1. M-M kinetics (10 pts). For , and After 1 min, 10% of substrate is converted. How much substrate will be converted in 3 min? 2. M-M kinetics perfection (5 pts). What is the maximum value for k cat /K m in 1/(M sec) where k cat is v max /e 0 and K m is the Michaelis-Menten constant? (5 pts) 3. M-M kinetics no assumptions (45 pts). Compare the solution for the Michaelis-Menten kinetics (Briggs-Haldane approach using the QSS assumption) with the rigorous solution (solving two differential equations simultaneously) using the following parameters: k 1 = 40 L/mol sec k -1 = 12.5/sec k 2 = 0.125/sec Two cases: E o = 0.01 mol/L S o = 0.1 mol/L E o = 0.15 mol/L S o = 0.15 mol/L a. For this comparison, plot S/S o vs. time for the two solution methods ( on the same graph ) and make conclusions. (30 pts). List the equations clearly that you solve. b. Indicate how you would find the concentration of P as a function of time. (5 pts) c. Does dP/dt always equal dS/dt? Explain. (5 pts) d. Does P always equal S O – S where S O is the initial substrate concentration and S is the substrate concentration at time t? (5 pts) ] [ ] [ max S K S V v m + = M K m 5 10 5 . 4 = M S 3 0 10 =
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