Pharmaceutical Calculations: Half Life
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Questions and Answers

What does the half-life of a drug estimate?

  • The time it takes for the drug's concentration in the body to reach its peak
  • The time it takes for the drug to start showing its effects
  • The time it takes for the drug's concentration in the body to be reduced by exactly one-half (correct)
  • The time it takes for the drug to be eliminated from the body
  • If a drug has a half-life of 90 minutes, how much of a 200mg dose will remain in the body after 270 minutes?

  • 50mg
  • 75mg
  • 37.5mg
  • 25mg (correct)
  • Drug Y has a half-life of 4 hours. If the initial plasma level of the drug is 800mg/L, what will its plasma level be after 12 hours?

  • 100mg/L (correct)
  • 200mg/L
  • 300mg/L
  • 400mg/L
  • What will be the plasma level of Drug Z with a half-life of 3 hours, if the initial plasma level is 500mg/L, after 9 hours?

    <p>175mg/L</p> Signup and view all the answers

    If Drug B has a half-life of 10 minutes, how much of a 250mg dose will remain in the body after 30 minutes?

    <p>15.625mg</p> Signup and view all the answers

    Drug C has a half-life of 6 hours. If the initial plasma level of the drug is 1200mg/L, what will its plasma level be after 18 hours?

    <p>50mg/L</p> Signup and view all the answers

    What will be the plasma level of a drug with a half-life of 90 minutes, if the initial plasma level is 800mg/L, after 4.5 hours?

    <p>100mg/L</p> Signup and view all the answers

    A drug with a half-life of 45 minutes has an initial plasma level of 600mg/L. How much of the drug will remain in the body after 2.25 hours?

    <p>37.5mg/L</p> Signup and view all the answers

    If a drug has a half-life of 3 hours, what will be its plasma level after 6 hours if the initial plasma level is 1000mg/L?

    <p>250mg/L</p> Signup and view all the answers

    A drug with a half-life of 75 minutes has an initial plasma level of 500mg/L. How much of the drug will remain in the body after 150 minutes?

    <p>250mg/L</p> Signup and view all the answers

    What will be the plasma level of a drug with a half-life of 4 hours, if the initial plasma level is 1600mg/L, after 12 hours?

    <p>100mg/L</p> Signup and view all the answers

    If a drug has a half-life of 2.5 hours, how much of it will remain in the body after 10 hours, given an initial plasma level of 4000mg/L?

    <p>250mg/L</p> Signup and view all the answers

    What is the half-life of a drug?

    <p>The time it takes for the concentration or amount in the body of that drug to be reduced by exactly one-half (50%).</p> Signup and view all the answers

    If 100mg of a drug with a half-life of 60 minutes is taken, how much remains after 180 minutes?

    <p>12.5mg</p> Signup and view all the answers

    Drug X has a half-life of 120 minutes. How long will it take for the plasma concentration to drop from 1g/L to 250mg/L?

    <p>4 hours</p> Signup and view all the answers

    Drug A has a half-life of 2 hours. What will its plasma level be after 8 hours if the initial level is 1200mg/L?

    <p>150mg/L</p> Signup and view all the answers

    What is the plasma level of a drug with a half-life of 4 hours, if the initial plasma level is 1600mg/L, after 12 hours?

    <p>100mg/L</p> Signup and view all the answers

    If Drug B has a half-life of 10 minutes, how much of a 250mg dose will remain in the body after 30 minutes?

    <p>62.5mg</p> Signup and view all the answers

    Study Notes

    Drug Half-Life Estimation

    • Half-life is the time it takes for the concentration of a drug in the body to reduce to half its initial value.
    • The concept helps in determining dosing schedules and understanding how long a drug stays active in the system.

    Calculations for Specific Drugs

    • Drug with 90 minutes half-life:

      • Initial dose: 200mg
      • After 270 minutes (3 half-lives), remaining drug = 200mg / 2^3 = 25mg.
    • Drug Y with 4 hours half-life:

      • Initial plasma level: 800mg/L
      • After 12 hours (3 half-lives), remaining plasma level = 800mg/L / 2^3 = 100mg/L.
    • Drug Z with 3 hours half-life:

      • Initial plasma level: 500mg/L
      • After 9 hours (3 half-lives), remaining plasma level = 500mg/L / 2^3 = 62.5mg/L.
    • Drug B with 10 minutes half-life:

      • Initial dose: 250mg
      • After 30 minutes (3 half-lives), remaining drug = 250mg / 2^3 = 31.25mg.
    • Drug C with 6 hours half-life:

      • Initial plasma level: 1200mg/L
      • After 18 hours (3 half-lives), remaining plasma level = 1200mg/L / 2^3 = 150mg/L.
    • Drug with 90 minutes half-life (plasma level example):

      • Initial plasma level: 800mg/L
      • After 4.5 hours (3 half-lives), remaining plasma level = 800mg/L / 2^3 = 100mg/L.
    • Drug with 45 minutes half-life:

      • Initial plasma level: 600mg/L
      • After 2.25 hours (3 half-lives), remaining plasma level = 600mg/L / 2^3 = 75mg/L.
    • Drug with 3 hours half-life:

      • Initial plasma level: 1000mg/L
      • After 6 hours (2 half-lives), remaining plasma level = 1000mg/L / 2^2 = 250mg/L.
    • Drug with 75 minutes half-life:

      • Initial plasma level: 500mg/L
      • After 150 minutes (2 half-lives), remaining plasma level = 500mg/L / 2^2 = 125mg/L.
    • Drug with 4 hours half-life:

      • Initial plasma level: 1600mg/L
      • After 12 hours (3 half-lives), remaining plasma level = 1600mg/L / 2^3 = 200mg/L.
    • Drug with 2.5 hours half-life:

      • Initial plasma level: 4000mg/L
      • After 10 hours (4 half-lives), remaining plasma level = 4000mg/L / 2^4 = 250mg/L.
    • Drug with 60 minutes half-life:

      • Initial dose: 100mg
      • After 180 minutes (3 half-lives), remaining drug = 100mg / 2^3 = 12.5mg.
    • Drug X with 120 minutes half-life:

      • To reduce plasma concentration from 1g/L to 250mg/L takes 4 hours (2 half-lives).
    • Drug A with 2 hours half-life:

      • Initial plasma level: 1200mg/L
      • After 8 hours (4 half-lives), remaining plasma level = 1200mg/L / 2^4 = 75mg/L.

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    Test your understanding of half life calculations and concepts in pharmaceutical calculations with this micro lecture quiz. Explore the basics of half life and hone your skills in completing basic half life calculations.

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