Question

Assume 500mg of pain medicine was given .15% wears off after 30 mins. how long until half is left in the system?

Answer 1

It will take 30 minutes for half of the pain medicine to be left in the system.

Step-by-step explanation:

To determine how long it will take for half of the pain medicine to be left in the system, we can use the concept of half-life. The half-life of a substance is the amount of time it takes for half of the substance to decay or be eliminated. In this case, the half-life of the pain medicine is 30 minutes.

First, we need to calculate the number of half-lives it will take for half of the medicine to be left. We can use the formula:

Number of half-lives = (ln(initial amount/final amount))/ln(2)

Let's plug in the values:

Initial amount = 500 mg

Final amount = 250 mg (half of the initial amount)

Using the formula, we have:

(ln(500/250))/ln(2) = 1

So it will take 1 half-life for half of the pain medicine to be left in the system, which is equal to 30 minutes.