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 = 12 hC₀/2

Practice exercise (made-up values, not clinical guidance). In a patient, vancomycin has an elimination half-life of 12 h. Find the elimination rate constant k in h⁻¹.

t½ = 12 h
k = h⁻¹
2.Easy
t/t½C/Css (%)100%597%

Practice exercise (made-up values, not clinical guidance). A patient starts regular doses of gentamicin, which has a half-life of 2.5 h. Using the rule that steady state is reached after about five half-lives, after how many hours tss is steady state reached?

t½ = 2.5 h
tss = h
3.Medium
110t (h)C (mg/L)C₀ = 6 mg/Lt½ = 2.5 hC₀/2

Practice exercise (made-up values, not clinical guidance). A patient receives an IV bolus of 90 mg of gentamicin. The level back-extrapolated to time zero is 6 mg/L and the half-life is 2.5 h. Find the clearance CL in L/h.

D = 90 mgC₀ = 6 mg/Lt½ = 2.5 h
CL = L/h
4.Medium
110t (h)C (mg/L)C₀ = 6 mg/Lt½ = 2.5 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 2.5 h. Find the clearance CL in L/h.

D = 90 mgC₀ = 6 mg/Lt½ = 2.5 h
CL = L/h
5.Hard
VCss,avg​ = 20 mg/LD = ? mg · q12hCL = 4 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 4 L/h. What dose D in mg gives an average steady-state level of 20 mg/L?

CL = 4 L/hτ = 12 hS = 1F = 1Css,avg = 20 mg/L
D = mg
6.Hard
VCss,avg​ = ?750 mg · q12hCL = 3.5 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 3.5 L/h. Each dose is 750 mg of vancomycin. Find the average steady-state level Css,avg.

CL = 3.5 L/hτ = 12 hS = 1F = 1D = 750 mg
Css,avg = mg/L

Answer key

  1. 1. k = 0.05776 h⁻¹
  2. 2. tss = 12.5 h
  3. 3. CL = 4.159 L/h
  4. 4. CL = 4.159 L/h
  5. 5. D = 960 mg
  6. 6. Css,avg = 17.86 mg/L

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