Suppose that you take 200 mg of an antibiotic every 8 hr. the half-life of the drug is 8 hr (the time it takes for half of the drug to be eliminated from your blood). use infinite series to find the long-term (steady-state) amount of antibiotic in your blood exactly.

600 mg

Explanation:

The initial amount of the drug = 200 mg

The half-life of the drug = 8 hrs

It means that:-

After 6 hours, the concentration becomes :- mg

After 12 hours, the concentration becomes :- mg

After 18 hours, the concentration becomes :- mg

And so on...

Thus,

After infinite time =

Thus,

After infinite time =

The sum of the infinite series is:- =

So,

After infinite time = mg = 600 mg

radioactive decay occurs in unstable atomic nuclei – that is, ones that don't have enough binding energy to hold

the nucleus together due to an excess of either protons or neutrons.

a. energy is absorbed in the reaction.

if in a given reaction the energy of products is greater than the energy of reactants it means that reaction is endothermic and during the reaction, the energy is absorbed by reactants. in an endothermic reaction, the products have more stored chemical energy than the reactants. and in this reaction the reactants are more stable than products before the compounds with less energy are always more stable.