A drug is carried into an organ of volume cm³ by a liquid that enters the organ at the rate of a cm³/sec and leaves it at the rate of b cm³/sec. The concentration of the drug in the liquid entering the organ is c g/cm³. If the concentration of the drug in the organ at time is increasing at the rate of
g/cm³/sec, and the concentration of the drug in the organ initially is g/cm³, show that the concentration of the drug in the organ at time is given by

Question

A drug is carried into an organ of volume

cm³ by a liquid that enters the organ at the rate of a cm³/sec and leaves it at the rate of b cm³/sec. The concentration of the drug in the liquid entering the organ is c g/cm³. If the concentration of the drug in the organ at time

is increasing at the rate of

g/cm³/sec, and the concentration of the drug in the organ initially is

g/cm³, show that the concentration of the drug in the organ at time

is given by

Quizplus · Accepted Answer

The Answer of A drug is carried into an organ of volume cm³ by a liquid that enters the organ at the rate of a cm³/sec and leaves it at the rate of b cm³/sec. The concentration of the drug in the liquid entering the organ is c g/cm³. If the concentration of the drug in the organ at time is increasing at the rate of g/cm³/sec, and the concentration of the drug in the organ initially is g/cm³, show that the concentration of the drug in the organ at time is given by

A Drug Is Carried into an Organ of Volume