An enzyme-catalyzed reaction was carried out with the substrate concentration initially a thousand times greater than the Km for that substrate. After 21 seconds, 1% of the substrate had been converted to product, and the amount of product formed in the reaction mixture was 12 mmol. If, in a separate experiment, 1/2 times as much enzyme was used. How long (sec) would it take for the same amount (12 mmol) of product to be formed?
Question
An enzyme-catalyzed reaction was carried out with the substrate concentration initially a thousand times greater than the Km for that substrate. After 21 seconds, 1% of the substrate had been converted to product, and the amount of product formed in the reaction mixture was 12 mmol. If, in a separate experiment, 1/2 times as much enzyme was used. How long (sec) would it take for the same amount (12 mmol) of product to be formed?
Solution
The rate of an enzyme-catalyzed reaction is directly proportional to the amount of enzyme present. If the amount of enzyme is halved, the rate of the reaction will also be halved.
In the first experiment, it took 21 seconds to form 12 mmol of product. If the amount of enzyme is halved, it would take twice as long to form the same amount of product.
Therefore, it would take 2 * 21 = 42 seconds to form 12 mmol of product when half as much enzyme is used.
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