Question

Using the equation C = C0e-Kt, determine the plasma concentration of a drug 24 hours after a peak level of 10 mg/L is observed if the elimination rate constant is 0.05 hr-1.

A. 3.01 mg/L
B. 33.2 mg/L
C. 18.1 mg/L

Answer 1

The plasma concentration of the drug 24 hours after a peak level of 10 mg/L is observed can be determined using the given equation C = C0e-Kt. By substituting the values and solving for C, we find that the concentration is approximately 3.01 mg/L.

Step-by-step explanation:

The given equation C = C0e-Kt represents the concentration (C) of a drug at a certain time (t) after administration. The plasma concentration of the drug 24 hours after a peak level of 10 mg/L is observed can be determined using the given equation C = C0e-Kt. By substituting the values and solving for C, we find that the concentration is approximately 3.01 mg/L.

To determine the plasma concentration of the drug 24 hours after a peak level of 10 mg/L, we can substitute the values into the equation and solve for C.

C = 10e(-0.05*24) = 10e-1.2

Using a calculator or a logarithmic table, we find that e-1.2 is approximately 0.3010. Therefore, the plasma concentration of the drug 24 hours after the peak level is 10*0.3010 = 3.01 mg/L.