Insulin is a polypeptide hormone that is released into the blood from the pancreas and stimulates fat and muscle to take up glucose; the insulin is used up in a first-order process. In a certain patient, it has a half-life of 3.5 min. To maintain an adequate blood concentration of insulin, it must be replenished in a time interval equal to 1/k. How long is the time interval for this patient?

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23-08-2022
Chemistry

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Insulin is a polypeptide hormone that is released into the blood from the pancreas and stimulates fat and muscle to take up glucose; the insulin is used up in a first-order process. In a certain patient, it has a half-life of 3.5 min. To maintain an adequate blood concentration of insulin, it must be replenished in a time interval equal to 1/k. How long is the time interval for this patient?

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The time interval for the patient, who has adequate blood concentration of insulin, must be replenished in a time interval equal to 1/k is 99 minutes.

What is insulin?

Insulin is a chemical that is released by the pancreas. It regulates the amount of glucose in the body. It digests the glucose in the body.

The formula s to calculate the time interval is t1/2 = 0.693/k.

Given, the half-life of 3.5 min.

Putting the value in the formula is

t 1/2 = 0.693 / 3.5

t 1/2 = 0.198

t = 0. 099

0.99 x 1000 = 99 minutes

Thus, the time interval for this patient is 99 minutes.

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