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 = ?C₀/2

Practice exercise (made-up values, not clinical guidance). The elimination rate constant of tobramycin in a patient is 0.231 h⁻¹. Find the half-life t½.

k = 0.231 h⁻¹
t½ = h
2.Easy
110100t (h)CC₀t½ = ?C₀/2

Practice exercise (made-up values, not clinical guidance). The elimination rate constant of theophylline in a patient is 0.077 h⁻¹. Find the half-life t½.

k = 0.077 h⁻¹
t½ = h
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 150 mg of tobramycin. The level back-extrapolated to time zero is 8 mg/L and the half-life is 2 h. Find the clearance CL in L/h.

D = 150 mgC₀ = 8 mg/Lt½ = 2 h
CL = L/h
4.Medium
110100t (h)C (mg/L)C₀ = 9 mg/Lt½ = 3 hC₀/2

Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 120 mg of gentamicin. The level back-extrapolated to time zero is 9 mg/L and the half-life is 3 h. Find the volume of distribution Vd.

D = 120 mgC₀ = 9 mg/Lt½ = 3 h
Vd = L
5.Hard
t (h)C (mg/L)Css​22 hC = ?

Practice exercise (made-up values, not clinical guidance). A theophylline infusion runs at 37.5 mg/h with no loading dose. The patient's clearance is 2.5 L/h and the half-life is 8 h. What is the level C after 22 h?

R = 37.5 mg/hCL = 2.5 L/ht½ = 8 ht = 22 h
C = mg/L
6.Hard
t (h)C (mg/L)Css​16 hC = ?

Practice exercise (made-up values, not clinical guidance). A theophylline infusion runs at 30 mg/h with no loading dose. The patient's clearance is 2 L/h and the half-life is 6 h. What is the level C after 16 h?

R = 30 mg/hCL = 2 L/ht½ = 6 ht = 16 h
C = mg/L

Answer key

  1. 1. t½ = 3.001 h
  2. 2. t½ = 9.002 h
  3. 3. CL = 6.498 L/h
  4. 4. Vd = 13.33 L
  5. 5. C = 12.77 mg/L
  6. 6. C = 12.64 mg/L

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