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 = 10 mg/LLD = ?52 kg

Practice exercise (made-up values, not clinical guidance). A patient who weighs 52 kg needs a loading dose of tobramycin to reach a level of 10 mg/L straight away. The volume of distribution is 0.3 L/kg. Find the loading dose LD in mg.

52 kgVd = 0.3 L/kgC = 10 mg/L
LD = mg
2.Easy
Vd = 0.25 L/kgC = 6 mg/LLD = ?58 kg

Practice exercise (made-up values, not clinical guidance). A patient who weighs 58 kg needs a loading dose of gentamicin to reach a level of 6 mg/L straight away. The volume of distribution is 0.25 L/kg. Find the loading dose LD in mg.

58 kgVd = 0.25 L/kgC = 6 mg/L
LD = mg
3.Medium
110t (h)C (mg/L)1 h7 mg/L6 h1.8 mg/L

Practice exercise (made-up values, not clinical guidance). After an IV dose of gentamicin, the level is 7 mg/L at 1 h and 1.8 mg/L at 6 h. Assume first-order elimination. Find the half-life t½.

C1 = 7 mg/L (1 h)C2 = 1.8 mg/L (6 h)
t½ = h
4.Medium
VCss​ = 25 mg/LR = ? mg/hCL = 5 L/h

Practice exercise (made-up values, not clinical guidance). Vancomycin is given as a continuous infusion to a patient whose vancomycin clearance is 5 L/h. What infusion rate R in mg/h gives a steady-state level of 25 mg/L?

CL = 5 L/hCss = 25 mg/L
R = mg/h
5.Hard
0.1110100t (h)C (mg/L)Cpeak​ = 10τ = ?Ctrough​ = 1

Practice exercise (made-up values, not clinical guidance). A patient's tobramycin half-life is 4 h. The target is a peak of 10 mg/L and a trough of 1 mg/L. Assuming rapid IV doses and first-order elimination, what dosing interval τ lets the level fall from the peak to the trough? Round to one decimal place.

t½ = 4 hCpeak = 10 mg/LCtrough = 1 mg/L
τ = h
6.Hard
t (h)C (mg/L)Css​t = ?95%

Practice exercise (made-up values, not clinical guidance). A vancomycin infusion is started without a loading dose. The half-life in this patient is 8 h. How long t does it take to reach 95% of the steady-state level?

t½ = 8 h95% Css
t = h

Answer key

  1. 1. LD = 156 mg
  2. 2. LD = 87 mg
  3. 3. t½ = 2.552 h
  4. 4. R = 125 mg/h
  5. 5. τ = 13.3 h
  6. 6. t = 34.58 h

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