Question

A standard serving of espresso contains 125 mg of caffeine. Dr. Lutes has been known to consume necessarily large amounts of espresso. Every Monday, Tuesday, and Wednesday she consumes two servings of espresso at 8 am, two servings at 12 pm, and two servings at 6pm. Determine how much caffeine (in mg) remains in her body at 6 am THURSDAY MORNING if caffeine is eliminated from the body via first order kinetics with a half-life of 6 hours. You may assume, however incorrect, that she begins Monday morning with zero caffeine in her body. An average human has a body volume of 5 L.

Answer 1

No caffeine is present in the body.

Step-by-step explanation:

No caffeine is present in the body of Dr. Lutes at 6 am Thursday morning because Caffeine has a half-life of about 5 hours and completely eliminated from the body in 10 hours. At 6 pm on Wednesday, Dr. Lutes consume caffeine so from 6 pm Wednesday to 6 am Thursday, 12 hours are passed so we can say that it is completely eliminated from the body. There will be zero caffeine in her body on Monday morning if she did not consume caffeine for about one day or 10 hours.