Suppose 500 mg of dye was introduced into the plasma

Question

An unknown quantity of radioactive iodine (I 131) is instantaneously passed into the plasma. The time dependence of the quantity of I131 in the plasma is an exponential decay from 100 mg with a time constant of 1 day, and in the urine as an exponential rise from zero to 75 mg with a time constant of 1 day. Assuming the compartment model in Exercise 12.1, determine K₁ and K_2.

Exercise 12.1,

Suppose 500 mg of dye was introduced into the plasma compartment. After reaching steady state, the concentration in the blood is 0:0893 mg cm^3. Find the volume of the plasma compartment.