Final answer:
To express the amount of a radioactive substance remaining after a given time period, with a half-life of 24 hours and initial amount of 11 grams, use the formula A = 11g × (1/2)t/24, where A is the amount remaining and t is the elapsed time in hours.
Step-by-step explanation:
The half-life of a radioactive substance is the time it takes for half of the original amount of the substance to decay. In the case given, where the half-life is 24 hours and the initial amount is 11 grams, we can express the amount of substance remaining as a function of time t (in hours) using the formula:
Amount remaining (A) = Initial amount (A0) × (1/2)t/T1/2
Where A0 is the initial amount of substance, t is the elapsed time in hours, and T1/2 is the half-life of the substance. For the provided case:
A = 11g × (1/2)t/24
This equation allows us to calculate the amount of the radioactive substance remaining after any given time period.