Better Students Ask More Questions.
Insulin is a polypeptide hormone released from the pancreas that stimulates fat and...
Insulin is a polypeptide hormone released from the pancreas that stimulates fat and muscle to take up glucose. In a certain patient, it has a first order half-life in the blood 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 in this patient?
1 Answer | add yours
The half-life for the first order reaction of insulin in the body is expressed as:
`t_(1/2) = ln(2)/k `
`t_(1/2) ` = 3.5 minutes
`k` = rate constant
We should first solve for the rate constant:
`t_(1/2) = (ln 2)/(k) `
`k = (ln 2)/(t_(1/2)) `
`k = (ln 2)/(3.5 min) `
`k = 0.19804 min^(-1) `
For the time interval, it says that it must be replenished in a time interval equal to `1/k` , therefore:
Time interval `= 1/k = 1/(0.19804 min^(-1))`
Time interval = 5.049 min = 5.0 minutes -> answer
Posted by jerichorayel on July 13, 2013 at 6:49 AM (Answer #1)
Join to answer this question
Join a community of thousands of dedicated teachers and students.