Based on the half-life example given, how much of a 100 mcg dose is left in the body after 6 hours?

Based on the half-life example given, how much of a 100 mcg dose is left in the body after 6 hours?

• A. 12.5 mcg
• B. 25 mcg
• C. 50 mcg
• D. 75 mcg

Answer: (A)

To determine how much of a 100 mcg dose is left in the body after 6 hours, it’s important to understand the concept of half-life. The half-life of a substance is the time it takes for half of the drug to be eliminated from the body. Assuming a typical half-life situation where the half-life of the drug is 2 hours, we can calculate the remaining amount as follows: 1. After the first half-life (2 hours), 50 mcg remains (half of 100 mcg). 2. After the second half-life (another 2 hours, totaling 4 hours), 25 mcg remains (half of 50 mcg). 3. After the third half-life (an additional 2 hours, totaling 6 hours), 12.5 mcg remains (half of 25 mcg). Therefore, after a total of 6 hours, only 12.5 mcg of the original 100 mcg dose would still be in the body. This illustrates the principle that exponential decay leads to a significant reduction in the quantity of the drug over successive half-lives. Consequently, the answer that indicates 12.5 mcg is based on a clear understanding of the half-life

To determine how much of a 100 mcg dose is left in the body after 6 hours, it’s important to understand the concept of half-life. The half-life of a substance is the time it takes for half of the drug to be eliminated from the body.

Assuming a typical half-life situation where the half-life of the drug is 2 hours, we can calculate the remaining amount as follows:

1. After the first half-life (2 hours), 50 mcg remains (half of 100 mcg).

2. After the second half-life (another 2 hours, totaling 4 hours), 25 mcg remains (half of 50 mcg).

3. After the third half-life (an additional 2 hours, totaling 6 hours), 12.5 mcg remains (half of 25 mcg).

Therefore, after a total of 6 hours, only 12.5 mcg of the original 100 mcg dose would still be in the body. This illustrates the principle that exponential decay leads to a significant reduction in the quantity of the drug over successive half-lives. Consequently, the answer that indicates 12.5 mcg is based on a clear understanding of the half-life