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Dimensional Analysis

Dimensional Analysis. Chapter 5. Units. Measures the drug in terms of action No symbol for units. Sample problems - Answers. Express the unit dosage in numerals and symbols: Three hundred and fifty thousand units. 350,000 units Twenty-five hundred units. 25,000 units Sixty units.

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Dimensional Analysis

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  1. Dimensional Analysis Chapter 5

  2. Units • Measures the drug in terms of action • No symbol for units

  3. Sample problems - Answers • Express the unit dosage in numerals and symbols: • Three hundred and fifty thousand units. • 350,000 units • Twenty-five hundred units. • 25,000 units • Sixty units. • 60 units

  4. Percentage (%) measures • Percentage means parts per hundred. • No space between the # and the % • 1% not 1 % • The greater the percentage strength, the stronger the solution or ointment.

  5. Sample Question • Which is stronger, a 3% solution or a 6% solution? • 3% • 6%

  6. Which of the following is the correct abbreviation for “units”? • Un • U • UN • Ut • None of the above

  7. Percentage (%) measures • In solution, percent represents the number of grams of drug per 100 mL of solution. • 100 mL of a 1% solution will contain 1 g of drug

  8. Sample Questions • 100 mL of a 1% solution will contain how many grams of drug? • 1 g • 100 mL of a 2.5% solution will contain how many grams of drug? • 2.5 g • 100 mL of a 10% solution will contain how many grams of drug? • 10 g

  9. 100 mL of a 5% solution will contain how many grams of drug? • 1 g • 5 g • 10 g • 100 g • None of the above

  10. But what if it is not 100 mL Mrs. Keele?

  11. Convert % to fraction • To change percentage to fraction by 100 • 5% =

  12. What is the fraction of 7% • 70 • 7 • 0.7 • 0.07 • 0.007

  13. What is the fraction of 60% • 60 • 6 • 0.6 • 0.06 • None of the above

  14. 100 mL of a 5% solution will contain how many grams of drug? g/mL

  15. 250 mL of a 5% solution will contain how many grams of drug? • 5% = g/mL

  16. 325 mL of a 6% solution will contain how many grams of drug? 18.5 g 6 g 16.25 g 19.5 g None of the above

  17. 120 mL of a 5.4% solution will contain how many grams of drug? • 6.45 g • 64.5 g • 645 g • None of the above • I’m so lost I have no idea!

  18. 260 mL of a 3% solution will contain how many grams of drug? • 0.78 g • 7.8 g • 78 g • 780 g • None of the above

  19. Milliequivalent (mEq) measures • Number of grams of drug contained in 1 mL of a solution • Who cares? • Not you • What do I need to know • -mEq = milliequivalent

  20. Sample Questions: • Express the milliequivalent dosages in numbers and symbols: • Fifteen milliequivalents • 15 mEq • Twenty-five milliequivalents • 25 mEq • Forty-two milliequivalents • 42 mEq

  21. Ratio Measures • Parts of drug per parts of solution • 1:500 • 1 part drug to 500 parts solution • 1:20 • 1 part drug to 20 parts solution • A solution that is 1 part drug and 10 parts solution is written: • 1:10

  22. If I take 1 bottle of alcohol & add it to 2 bottles of soda  • 1:2 ratio • How drunk would one glass of this spiked punch make you?

  23. If I take 1 bottle of alcohol & add it to 5 bottles of soda • 1:5 ratio • How drunk would one glass of this spiked punch make you? • Which would make you more drunk 1:2 or 1:5?

  24. Ratio Measures • The less solution a drug is dissolved in, the stronger the solution. • A ratio of 1:2 is much stronger than 1:5 • A ration of 1:5 is much stronger than a 1:500

  25. Identify the strongest solution: • A) 1:20 • B) 1:200 • C) 1:2

  26. Identify the strongest solution: • A) 1:50 • B) 1:20 • C) 1:100

  27. Identify the strongest solution: • A) 1:1000 • B) 1:4000 • C) 1:3000

  28. Household & Apothecary measures • Ounce • Abbreviation: oz

  29. Household & Apothecary measures • Ounce • Metric equivalent: 30 mL • 1 oz = 30 mL • How many milliliters in 3 oz? • 90 mL • mL

  30. Household & Apothecary measures • Tablespoon • Abbreviation: T, TBS, Tbsp • Metric equivalent: 15 mL • 1 Tbsp.= 15 mL • How many milliliters in 3 Tbsp? • 45 mL (3 x 15 = 45) • = 45mL

  31. Household & Apothecary measures • Teaspoon • Abbreviation: t, TSP, tsp • Metric equivalent: 5 mL • So 1 tsp = 5 mL • How many milliliters in 3 tsp? • 15 mL (3 tsp x 5 mL = 15 mL)

  32. Household & Apothecary measures • Drop • Abbreviation: gtt (gtts) • Metric equivalent: 1 mL • So 1 gtt = 1 mL • How many milliliters in 3 gtts? • 3 mL (3 x 1 = 3)

  33. Household & Apothecary measures • Grain • Abbreviation: gr • Metric equivalent: 60 mg • 1 gr = 60 mg • How many milligrams in 3 gr? • 180 mg (3 x 60 = 180) • (For grains see page 306 of your text book)

  34. How many mL in 5 teaspoons? • 5 mL • 10 mL • 15 mL • 25 mL • None of the above

  35. How many mL in 25 drops? • 25 mL • 50 mL • 75 mL • 100 mL • None of the above

  36. The doctor says to give 2 oz, but you only have a mL cup. How much do you give in mL? • 2 mL • 15 mL • 30 mL • 60 mL • None of the above

  37. How many milligrams in 3 grains? • 50 mg • 100 mg • 150 mg • 200 mg • None of the above

  38. How many milliliters in 1 tablespoon? • 5 mL • 10 mL • 15 mL • 25 mL • None of the above

  39. True / False: A 40% solution is stronger than a 30% solution. • True • False

  40. True / False: A 5% ointment is stronger than a 2% ointment. • True • False

  41. True / False: 100mL of a 3% solution will contain 30 grams of drug. • True • False

  42. 2.8 mL of a 5.7% solution will contain how many grams of drug? (Round to the nearest tenth) • 2.8 g • 5.7 g • 0.1 g • 0.2 g • None of the above

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