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 = 48 hC₀/2

Practice exercise (made-up values, not clinical guidance). In a patient, digoxin has an elimination half-life of 48 h. Find the elimination rate constant k in h⁻¹.

t½ = 48 h
k = h⁻¹
2.Easy
0.1110t (h)C (mg/L)8 mg/L9 hC = ?

Practice exercise (made-up values, not clinical guidance). Just after an IV dose, the gentamicin level is 8 mg/L. The half-life is 3 h, and the drug is eliminated by first-order kinetics. What is the level C 9 h later?

C₀ = 8 mg/Lt½ = 3 ht = 9 h
C = mg/L
3.Medium
0.1110t (h)C (mg/L)2 h6 mg/L8 h0.8 mg/L

Practice exercise (made-up values, not clinical guidance). After an IV dose of gentamicin, the level is 6 mg/L at 2 h and 0.8 mg/L at 8 h. Assume first-order elimination. Find the half-life t½.

C1 = 6 mg/L (2 h)C2 = 0.8 mg/L (8 h)
t½ = h
4.Medium
VCss​ = 3 mg/LR = ? mg/minCL = 600 mL/min

Practice exercise (made-up values, not clinical guidance). A patient has a lidocaine clearance of 600 mL/min. What infusion rate R in mg/min keeps the steady-state level at 3 mg/L?

CL = 600 mL/minCss = 3 mg/L
R = mg/min
5.Hard
Vd = 7 L/kg0.2 → 0.8 mcg/LLD = ? mcg82 kg · S = 1 · F = 0.7

Practice exercise (made-up values, not clinical guidance). An 82 kg patient has a digoxin level of 0.2 mcg/L; the target is 0.8 mcg/L. The volume of distribution is 7 L/kg and the tablets have F = 0.7. What extra loading dose LD raises the level to the target?

82 kgVd = 7 L/kgC = 0.2 → 0.8 mcg/LF = 0.7
LD = mcg
6.Hard
VCss,avg​ = ?1500 mg · q12hCL = 6 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 6 L/h. Each dose is 1500 mg of vancomycin. Find the average steady-state level Css,avg.

CL = 6 L/hτ = 12 hS = 1F = 1D = 1500 mg
Css,avg = mg/L

Answer key

  1. 1. k = 0.01444 h⁻¹
  2. 2. C = 1 mg/L
  3. 3. t½ = 2.064 h
  4. 4. R = 1.8 mg/min
  5. 5. LD = 492 mcg
  6. 6. Css,avg = 20.83 mg/L

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