Dimensional analysis
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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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Dimensional analysis

Dimensional Analysis

Chapter 5


Units

Units

  • Measures the drug in terms of action

  • No symbol for units


Sample problems answers

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


Percentage measures

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.


Sample question

Sample Question

  • Which is stronger, a 3% solution or a 6% solution?

    • 3%

    • 6%


Which of the following is the correct abbreviation for units

Which of the following is the correct abbreviation for “units”?

  • Un

  • U

  • UN

  • Ut

  • None of the above


Percentage measures1

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


Sample questions

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


Dimensional analysis

  • 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


Dimensional analysis

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


Convert to fraction

Convert % to fraction

  • To change percentage to fraction by 100

    • 5% =


What is the fraction of 7

What is the fraction of 7%

  • 70

  • 7

  • 0.7

  • 0.07

  • 0.007


What is the fraction of 60

What is the fraction of 60%

  • 60

  • 6

  • 0.6

  • 0.06

  • None of the above


Dimensional analysis

100 mL of a 5% solution will contain how many grams of drug?

g/mL


250 ml of a 5 solution will contain how many grams of drug

250 mL of a 5% solution will contain how many grams of drug?

  • 5% = g/mL


Dimensional analysis

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


120 ml of a 5 4 solution will contain how many grams of drug

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!


260 ml of a 3 solution will contain how many grams of drug

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


Milliequivalent meq measures

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


Sample questions1

Sample Questions:

  • Express the milliequivalent dosages in numbers and symbols:

  • Fifteen milliequivalents

    • 15 mEq

  • Twenty-five milliequivalents

    • 25 mEq

  • Forty-two milliequivalents

    • 42 mEq


Ratio measures

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


Dimensional analysis

  • 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?


Dimensional analysis

  • 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?


Ratio measures1

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


Identify the strongest solution

Identify the strongest solution:

  • A) 1:20

  • B) 1:200

  • C) 1:2


Identify the strongest solution1

Identify the strongest solution:

  • A) 1:50

  • B) 1:20

  • C) 1:100


Identify the strongest solution2

Identify the strongest solution:

  • A) 1:1000

  • B) 1:4000

  • C) 1:3000


Household apothecary measures

Household & Apothecary measures

  • Ounce

  • Abbreviation: oz


Household apothecary measures1

Household & Apothecary measures

  • Ounce

  • Metric equivalent: 30 mL

    • 1 oz = 30 mL

  • How many milliliters in 3 oz?

    • 90 mL

    • mL


Household apothecary measures2

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


Household apothecary measures3

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)


Household apothecary measures4

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)


Household apothecary measures5

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)


How many ml in 5 teaspoons

How many mL in 5 teaspoons?

  • 5 mL

  • 10 mL

  • 15 mL

  • 25 mL

  • None of the above


How many ml in 25 drops

How many mL in 25 drops?

  • 25 mL

  • 50 mL

  • 75 mL

  • 100 mL

  • None of the above


The doctor says to give 2 oz but you only have a ml cup how much do you give in ml

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


How many milligrams in 3 grains

How many milligrams in 3 grains?

  • 50 mg

  • 100 mg

  • 150 mg

  • 200 mg

  • None of the above


How many milliliters in 1 tablespoon

How many milliliters in 1 tablespoon?

  • 5 mL

  • 10 mL

  • 15 mL

  • 25 mL

  • None of the above


True false a 40 solution is stronger than a 30 solution

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

  • True

  • False


True false a 5 ointment is stronger than a 2 ointment

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

  • True

  • False


True false 100ml of a 3 solution will contain 30 grams of drug

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

  • True

  • False


2 8 ml of a 5 7 solution will contain how many grams of drug round to the nearest tenth

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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