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.

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
t/t½C/Css (%)100%597%

Practice exercise (made-up values, not clinical guidance). A patient starts regular doses of vancomycin, which has a half-life of 10 h. Using the rule that steady state is reached after about five half-lives, after how many hours tss is steady state reached?

t½ = 10 h
tss = h
2.Easy
110100t (h)CC₀t½ = 3 hC₀/2

Practice exercise (made-up values, not clinical guidance). In a patient, tobramycin has an elimination half-life of 3 h. Find the elimination rate constant k in h⁻¹.

t½ = 3 h
k = h⁻¹
3.Medium
110t (h)C (mg/L)C₀ = 8 mg/Lt½ = 2 hC₀/2

Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 220 mg of gentamicin. The level back-extrapolated to time zero is 8 mg/L and the half-life is 2 h. Find the volume of distribution Vd.

D = 220 mgC₀ = 8 mg/Lt½ = 2 h
Vd = L
4.Medium
110t (h)C (mg/L)C₀ = 7 mg/Lt½ = 3 hC₀/2

Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 130 mg of tobramycin. The level back-extrapolated to time zero is 7 mg/L and the half-life is 3 h. Find the volume of distribution Vd.

D = 130 mgC₀ = 7 mg/Lt½ = 3 h
Vd = L
5.Hard
t (h)C (mg/L)Css​t = ?90%

Practice exercise (made-up values, not clinical guidance). A vancomycin infusion is started without a loading dose. The half-life in this patient is 10 h. How long t does it take to reach 90% of the steady-state level?

t½ = 10 h90% Css
t = h
6.Hard
0.1110100t (h)C (mg/L)Cpeak​ = 10τ = ?Ctrough​ = 1

Practice exercise (made-up values, not clinical guidance). A patient's gentamicin half-life is 2.5 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 = 2.5 hCpeak = 10 mg/LCtrough = 1 mg/L
τ = h

Answer key

  1. 1. tss = 50 h
  2. 2. k = 0.231 h⁻¹
  3. 3. Vd = 27.5 L
  4. 4. Vd = 18.57 L
  5. 5. t = 33.22 h
  6. 6. τ = 8.3 h

Full step-by-step solutions: practise this topic on examproblems.com.