1.Easy
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
Clinical pharmacokinetics worksheet with answers
2.Easy
Practice exercise (made-up values, not clinical guidance). The elimination rate constant of theophylline in a patient is 0.0866 h⁻¹. Find the half-life t½.
k = 0.0866 h⁻¹
t½ = h
3.Medium
Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 170 mg of tobramycin. The level back-extrapolated to time zero is 9 mg/L and the half-life is 2 h. Find the volume of distribution Vd.
D = 170 mgC₀ = 9 mg/Lt½ = 2 h
Vd = L
4.Medium
Practice exercise (made-up values, not clinical guidance). Vancomycin is given as a continuous infusion to a patient whose vancomycin clearance is 4.5 L/h. What infusion rate R in mg/h gives a steady-state level of 20 mg/L?
CL = 4.5 L/hCss = 20 mg/L
R = mg/h
5.Hard
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 9 h?
R = 30 mg/hCL = 2 L/ht½ = 6 ht = 9 h
C = mg/L
6.Hard
Practice exercise (made-up values, not clinical guidance). A vancomycin infusion runs at 100 mg/h with no loading dose. The patient's clearance is 4 L/h and the half-life is 8 h. What is the level C after 6 h?
R = 100 mg/hCL = 4 L/ht½ = 8 ht = 6 h
C = mg/L
Answer key
- 1. t½ = 9.002 h
- 2. t½ = 8.004 h
- 3. Vd = 18.89 L
- 4. R = 90 mg/h
- 5. C = 9.697 mg/L
- 6. C = 10.13 mg/L
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