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

hi my dude or dudette

a gas, having a molecular weight of 13 kg/kmol and a kinematic viscosity of 0.25 cm2/s, flows through a pipe 0.25 m internal diameter and 5 km long at the rate of 0.4 m3/s and is delivered at atmospheric pressure.