# Dimensional Analysis - PowerPoint PPT Presentation

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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

Chapter 5

### Units

• Measures the drug in terms of action

• No symbol for units

• 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

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

### Convert % to fraction

• To change percentage to fraction by 100

• 5% =

• 70

• 7

• 0.7

• 0.07

• 0.007

### What is the fraction of 60%

• 60

• 6

• 0.6

• 0.06

• None of the above

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?

• 5% = g/mL

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?

• 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

• A) 1:20

• B) 1:200

• C) 1:2

• A) 1:50

• B) 1:20

• C) 1:100

• 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

• True

• False

• 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