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
110100t (h)CC₀t½ = 3.5 hC₀/2

Practice exercise (made-up values, not clinical guidance). In a patient, gentamicin has an elimination half-life of 3.5 h. Find the elimination rate constant k in h⁻¹.

t½ = 3.5 h
k = h⁻¹
2.Easy
110100t (h)CC₀t½ = 10 hC₀/2

Practice exercise (made-up values, not clinical guidance). In a patient, vancomycin has an elimination half-life of 10 h. Find the elimination rate constant k in h⁻¹.

t½ = 10 h
k = h⁻¹
3.Medium
110t (h)C (mg/L)C₀ = 8 mg/Lt½ = 3 hC₀/2

Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 170 mg of gentamicin. The level back-extrapolated to time zero is 8 mg/L and the half-life is 3 h. Find the volume of distribution Vd.

D = 170 mgC₀ = 8 mg/Lt½ = 3 h
Vd = L
4.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 90 mg of tobramycin. The level back-extrapolated to time zero is 6 mg/L and the half-life is 3 h. Find the clearance CL in L/h.

D = 90 mgC₀ = 6 mg/Lt½ = 3 h
CL = L/h
5.Hard
VCss,avg​ = ?1500 mg · q12hCL = 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 5 L/h. Each dose is 1500 mg of vancomycin. Find the average steady-state level Css,avg.

CL = 5 L/hτ = 12 hS = 1F = 1D = 1500 mg
Css,avg = mg/L
6.Hard
VCss,avg​ = 10 mg/LD = ? mg · q8hCL = 0.035 L/kg/h50 kg · S = 0.8 · F = 1

Practice exercise (made-up values, not clinical guidance). A 50 kg patient takes oral aminophylline (S = 0.8, F = 1) every 8 h. The theophylline clearance is 0.035 L/kg/h. What dose D in mg gives an average steady-state level of 10 mg/L?

CL = 0.035 L/kg/hτ = 8 hS = 0.8F = 150 kgCss,avg = 10 mg/L
D = mg

Answer key

  1. 1. k = 0.198 h⁻¹
  2. 2. k = 0.06931 h⁻¹
  3. 3. Vd = 21.25 L
  4. 4. CL = 3.466 L/h
  5. 5. Css,avg = 25 mg/L
  6. 6. D = 175 mg

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