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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.
- 60 units

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

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

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

- Un
- U
- UN
- Ut
- None of the above

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

- 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

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

Convert % to fraction

- To change percentage to fraction by 100
- 5% =

What is the fraction of 7%

- 70
- 7
- 0.7
- 0.07
- 0.007

What is the fraction of 60%

- 60
- 6
- 0.6
- 0.06
- None of the above

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?

- 0.78 g
- 7.8 g
- 78 g
- 780 g
- None of the above

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 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

- 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

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?

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 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:

- A) 1:20
- B) 1:200
- C) 1:2

Identify the strongest solution:

- A) 1:50
- B) 1:20
- C) 1:100

Identify the strongest solution:

- A) 1:1000
- B) 1:4000
- C) 1:3000

Household & Apothecary measures

- Ounce
- Abbreviation: oz

Household & Apothecary measures

- Ounce
- Metric equivalent: 30 mL
- 1 oz = 30 mL
- How many milliliters in 3 oz?
- 90 mL
- mL

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 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 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 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?

- 5 mL
- 10 mL
- 15 mL
- 25 mL
- None of the above

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?

- 2 mL
- 15 mL
- 30 mL
- 60 mL
- None of the above

How many milligrams in 3 grains?

- 50 mg
- 100 mg
- 150 mg
- 200 mg
- None of the above

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

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 g
- 5.7 g
- 0.1 g
- 0.2 g
- None of the above

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