Question

After a certain medicine is injected, its concentration in the bloodstream changes exponentially over time.

Answer 1

Given :   a certain medicine is injected, its concentration in the bloodstream changes exponentially over time as shown in graph

To find : Decay constant , half life , initial concentration. concentration decreasing every hour

Solution:

Concentration of medicine when it was injected

=> at t = 0

Hence 100  mg/l  was concentration when medicine was injected

$N_{t} = N_{0}e^{- kt}$

N₀  - initial Quantity = 100 mg/l

at  t = 1  Concentration is 70 mg/l

=> $70 = 100}e^{- k}$

=>  k =  0.3567

Decay Constant = 0.3567

T = Half life period

$50 = 100}e^{- kT}$  

=> -0.693 = -kT

=> $T_{1/2} =$  1.943 hr

Medicine Concentration drops 70 % each hour

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Answer 2

Answer:

100 miligrams per liter

Step-by-step explanation: