(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

newbie here..

Blood carries a drug into an organ at the rate of 3 cm^3/sec and leaves at the same rate. The organ has a liquid volume of 125 cm^3. If the concentration of the drug in the blood entering the organ is .2g/cm^3, what is the concentration of the drug in the organ at time t? After how many seconds will the concentration the drug in the organ reach 0.1g/cm^3?

Answer should be .2(1-e^{(-3t/125)}) and 28.9 seconds

2. Relevant equations

dx/dt + F_{o}(x)/V_{o}= F_{i}C_{i}

3. The attempt at a solution

I used the equation above. Where:

F_{o}=3cm^{3}/sec

Vo=125cm^{3}

F_{i}=3

C_{i}=0

I'm really not sure if I'm doing it right, because i just based on my teacher's previous solutions on other problems

i end up at x = x_{o}e^{(-3t/125) }

but i can't seem to arrive at .2(1-e^{(-3t/125)})

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# Homework Help: Differential equations chemical solutions problem

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