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
t/t½C/Css (%)100%597%

Practice exercise (made-up values, not clinical guidance). A patient starts regular doses of theophylline, which has a half-life of 6 h. Using the rule that steady state is reached after about five half-lives, after how many hours tss is steady state reached?

t½ = 6 h
tss = h
2.Easy
110100t (h)CC₀t½ = 2 hC₀/2

Practice exercise (made-up values, not clinical guidance). In a patient, lidocaine has an elimination half-life of 2 h. Find the elimination rate constant k in h⁻¹.

t½ = 2 h
k = h⁻¹
3.Medium
110t (h)C (mg/L)1 h8 mg/L5 h2.6 mg/L

Practice exercise (made-up values, not clinical guidance). After an IV dose of tobramycin, the level is 8 mg/L at 1 h and 2.6 mg/L at 5 h. Assume first-order elimination. Find the half-life t½.

C1 = 8 mg/L (1 h)C2 = 2.6 mg/L (5 h)
t½ = h
4.Medium
0.1110t (h)C (mg/L)2 h8 mg/L8 h1 mg/L

Practice exercise (made-up values, not clinical guidance). After an IV dose of tobramycin, the level is 8 mg/L at 2 h and 1 mg/L at 8 h. Assume first-order elimination. Find the elimination rate constant k.

C1 = 8 mg/L (2 h)C2 = 1 mg/L (8 h)
k = h⁻¹
5.Hard
0.1110100t (h)C (mg/L)Cpeak​ = 10τ = ?Ctrough​ = 1

Practice exercise (made-up values, not clinical guidance). A patient's gentamicin half-life is 3 h. The target is a peak of 10 mg/L and a trough of 1 mg/L. Assuming rapid IV doses and first-order elimination, what dosing interval τ lets the level fall from the peak to the trough? Round to one decimal place.

t½ = 3 hCpeak = 10 mg/LCtrough = 1 mg/L
τ = h
6.Hard
0.1110t (h)C (mg/L)Cpeak​ = 6τ = ?Ctrough​ = 0.5

Practice exercise (made-up values, not clinical guidance). A patient's tobramycin half-life is 2.5 h. The target is a peak of 6 mg/L and a trough of 0.5 mg/L. Assuming rapid IV doses and first-order elimination, what dosing interval τ lets the level fall from the peak to the trough? Round to one decimal place.

t½ = 2.5 hCpeak = 6 mg/LCtrough = 0.5 mg/L
τ = h

Answer key

  1. 1. tss = 30 h
  2. 2. k = 0.3466 h⁻¹
  3. 3. t½ = 2.467 h
  4. 4. k = 0.3466 h⁻¹
  5. 5. τ = 10 h
  6. 6. τ = 9 h

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