Total renal excretion (Q_e) (or clearance) of a compound is affected by: 1) filtration of the compound from the glomerulus and into Bowman’s space, 2) secretion of the compound from the peritubular blood vessels followed by uptake into the tubules, and 3) reabsorption of the compound from the filtrate and back into the peritubular blood vessels. PAH is a compound that is excreted from the body by both filtration and secretion. Assume that the GFR is 125 ml min^-1 and the plasma volume is 3 liters. Further, assume that total blood flow through a single kidney is 625 ml min-1 and that the PAH in the blood that is not filtered during the single pass through the kidneys is recovered via the peritubular capillaries during that pass. If 100 mg PAH is injected intravenously as a bolus, determine the plasma concentration as a function of time and find the half-life of PAH in the plasma.