Clinical pharmacokinetics worksheet with answers

Free printable Clinical pharmacokinetics worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
0.1110t (h)C (mg/L)7 mg/L8 hC = ?

Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the gentamicin level is 7 mg/L. The half-life is 2 h, and the drug is eliminated by first-order kinetics. What is the level C 8 h later?

C₀ = 7 mg/Lt½ = 2 ht = 8 h
C = mg/L
2.Easy
110100t (h)CC₀t½ = 9 hC₀/2

Practice exercise (made-up values, not clinical guidance). In a patient, theophylline has an elimination half-life of 9 h. Find the elimination rate constant k in h⁻¹.

t½ = 9 h
k = h⁻¹
3.Medium
110t (h)C (mg/L)2 h7 mg/L6 h2.8 mg/L

Practice exercise (made-up values, not clinical guidance). After an IV dose of gentamicin, the level is 7 mg/L at 2 h and 2.8 mg/L at 6 h. Assume first-order elimination. Find the half-life t½.

C1 = 7 mg/L (2 h)C2 = 2.8 mg/L (6 h)
t½ = h
4.Medium
Vd = 0.7 L/kgC = 20 mg/LLD = ? mg89 kg · S = 0.92 · F = 1

Practice exercise (made-up values, not clinical guidance). An 89 kg patient is to be loaded intravenously with phenytoin sodium to reach a phenytoin level of 20 mg/L. The volume of distribution is 0.7 L/kg and the salt factor is S = 0.92. Find the loading dose LD of phenytoin sodium in mg.

89 kgVd = 0.7 L/kgC = 20 mg/LS = 0.92
LD = mg
5.Hard
VCss,avg​ = ?1000 mg · q12hCL = 4.5 L/hS = 1 · F = 1

Practice exercise (made-up values, not clinical guidance). A patient receives vancomycin IV every 12 h; the vancomycin clearance is 4.5 L/h. Each dose is 1000 mg of vancomycin. Find the average steady-state level Css,avg.

CL = 4.5 L/hτ = 12 hS = 1F = 1D = 1000 mg
Css,avg = mg/L
6.Hard
VCss,avg​ = ?500 mg · q12hCL = 0.03 L/kg/h57 kg · S = 0.8 · F = 1

Practice exercise (made-up values, not clinical guidance). A 57 kg patient takes oral aminophylline (S = 0.8, F = 1) every 12 h. The theophylline clearance is 0.03 L/kg/h. Each dose is 500 mg of aminophylline. Find the average steady-state level Css,avg.

CL = 0.03 L/kg/hτ = 12 hS = 0.8F = 157 kgD = 500 mg
Css,avg = mg/L

Answer key

  1. 1. C = 0.4375 mg/L
  2. 2. k = 0.07702 h⁻¹
  3. 3. t½ = 3.026 h
  4. 4. LD = 1354 mg
  5. 5. Css,avg = 18.52 mg/L
  6. 6. Css,avg = 19.49 mg/L

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