Final answer:
The correct option is A). After 24 hours, with a half-life of 8 hours and no additional dosage of the drug, 100 mg will remain in the body from the original 800 mg.
Step-by-step explanation:
The question relates to the pharmacokinetics of a drug, particularly its half-life, which is a concept in chemistry. In this case, we are given a drug with a half-life of 8 hours, and we want to determine how much of the 800 mg given will remain after 24 hours.
Calculation of the Remaining Drug After One Half-Life
After the first half-life of 8 hours, the amount of drug will be reduced by half. Therefore, 800 mg / 2 = 400 mg will remain.
Calculation of the Remaining Drug After Two Half-Lives
After the second half-life (16 hours in total), the amount will be halved again: 400 mg / 2 = 200 mg.
Calculation of the Remaining Drug After Three Half-Lives
After the third half-life (24 hours in total), the amount will be halved once more: 200 mg / 2 = 100 mg.
Thus, after 24 hours without administering any additional drug, 100 mg of the drug will remain in the body.