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
Vd = 0.3 L/kgC = 8 mg/LLD = ?69 kg

Practice exercise (made-up values, not clinical guidance). A patient who weighs 69 kg needs a loading dose of tobramycin to reach a level of 8 mg/L straight away. The volume of distribution is 0.3 L/kg. Find the loading dose LD in mg.

69 kgVd = 0.3 L/kgC = 8 mg/L
LD = mg
2.Easy
110100t (h)CC₀t½ = ?C₀/2

Practice exercise (made-up values, not clinical guidance). The elimination rate constant of vancomycin in a patient is 0.0578 h⁻¹. Find the half-life t½.

k = 0.0578 h⁻¹
t½ = h
3.Medium
110t (h)C (mg/L)C₀ = 6 mg/Lt½ = 3 hC₀/2

Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 110 mg of tobramycin. The level back-extrapolated to time zero is 6 mg/L and the half-life is 3 h. Find the volume of distribution Vd.

D = 110 mgC₀ = 6 mg/Lt½ = 3 h
Vd = L
4.Medium
VCss​ = 4 mg/LR = ? mg/minCL = 500 mL/min

Practice exercise (made-up values, not clinical guidance). A patient has a lidocaine clearance of 500 mL/min. What infusion rate R in mg/min keeps the steady-state level at 4 mg/L?

CL = 500 mL/minCss = 4 mg/L
R = mg/min
5.Hard
Vd = 0.3 L/kg1 → 7 mg/LD = ? mg51 kg

Practice exercise (made-up values, not clinical guidance). A 51 kg patient on regular gentamicin doses is at steady state. The target is a peak of 7 mg/L and a trough of 1 mg/L, and the volume of distribution is 0.3 L/kg. Assuming rapid IV doses, what dose D raises the level from the trough to the peak?

51 kgVd = 0.3 L/kgCpeak = 7 mg/LCtrough = 1 mg/L
D = mg
6.Hard
Vd = 0.25 L/kg1 → 10 mg/LD = ? mg57 kg

Practice exercise (made-up values, not clinical guidance). A 57 kg patient on regular gentamicin doses is at steady state. The target is a peak of 10 mg/L and a trough of 1 mg/L, and the volume of distribution is 0.25 L/kg. Assuming rapid IV doses, what dose D raises the level from the trough to the peak?

57 kgVd = 0.25 L/kgCpeak = 10 mg/LCtrough = 1 mg/L
D = mg

Answer key

  1. 1. LD = 165.6 mg
  2. 2. t½ = 11.99 h
  3. 3. Vd = 18.33 L
  4. 4. R = 2 mg/min
  5. 5. D = 91.8 mg
  6. 6. D = 128.3 mg

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