Suppose that a solution containing a drug enters the liver a

Suppose that a solution containing a drug enters the liver at rate of 0.001 cm^3/s with a concentration of k g/cm^3. assume that the volume of the liver is 1500 cm^3 and that the solution leaves the liver at the same rate it entered. Find the value of k that would yield .5 g of the drug in the liver after 1 hour. You may assume that there is initially no drug in the liver. Provide you answer to three decimal places.

Suppose that a solution containing a drug enters the liver at rate of 0.001 cm^3/s with a concentration of k g/cm^2. Assume that the volume of the liver is 1500 cm^3 and that the solution leaves the liver at the same rate it entered. Find the value of k that would yield 0.5 g of the drug in the liver after 1 hour. You may assume that there is initially no drug in the liver. Provide your answer to three decimal places.

Solution

Since the concentration of drug leaving the liver is not given , it is assumed that all the drug accumulates in the liver .

Amount of Drug accumulating in liver = Concentration * Rate of Solution inflow = k * 0.001 g/s = 0.001k g/s

Drug accumulation in 1 hour or 3600sec = 0.001k * (3600) g = 3.6k grams

Required Drug accumulation should be equal to 5 grams

=> 3.6k = .5

=> k = 5/36 g/cm³