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Pharmaceutical Calculations: Reducing and Enlarging Formula Pharmaceutical Calculations: Reducing and Enlarging Formula

Pharmaceutical Calculations: Reducing and Enlarging Formula - PowerPoint Presentation

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Pharmaceutical Calculations: Reducing and Enlarging Formula - PPT Presentation

Danielle DelVillano PharmD 1 Objectives Perform calculations to reduce or enlarge formulas for pharmaceutical preparations stated in metric quantities Perform calculations to reduce or enlarge formulas for pharmaceutical preparations stated in proportional parts ID: 476517

1000 problem parts quantity problem 1000 quantity parts formula 240 factor chapter ingredient oxide prepare required needed solve desired

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Slide1

Pharmaceutical Calculations: Reducing and Enlarging Formulas

Danielle DelVillano, Pharm.D.

1Slide2

Objectives

Perform calculations to reduce or enlarge formulas for pharmaceutical preparations stated in metric quantitiesPerform calculations to reduce or enlarge formulas for pharmaceutical preparations stated in proportional parts

2Slide3

Determining the “Factor”

To go from a larger to smaller quantity, or vice versa, determine the “factor” by which to reduce or enlarge the formula

Ex. USP recipe is for 1000

mL

but you only wish to make 100

mL

of solution

Quantity of the formula desired = Factor Quantity of the formula givenThen multiply the quantity of each ingredient in the formula given by the factor to determine the amount of each ingredient needed to prepare the desired compund

3Slide4

Example 1

If a formula for 1000 mL contains 6

g

of a drug, how many grams of drug are needed to prepare 60

mL

of the formula?

60 mL (quantity desired) = 0.06 (factor) 1000 mL (quantity given) 6 g

x

0.06 = 0.36 g of drug needed

4Slide5

Problem 1: Solve by using factor

From the following formula, calculate the quantity of each ingredient required to make 240 mL

of calamine lotion

Calamine 80

g

Zinc Oxide 80

g

Glycerin 20 gBentonite magma 250 mLCalcium hydroxide solutionn, to make 1000

mL

5Slide6

Problem 1: Solve by using factor

240

mL

(quantity desired)

= 0.24 (factor)

1000

mL

(quantity required)Calamine: 80 g x 0.24 = 19.2 gZinc Oxide: 80 g

x

0.24 = 19.2 gGlycerin: 20

g

x

0.24 = 4.8

g

Bentonite: 250 mL x 0.24 = 60 mLCalcium hydroxide: to make 240 mL

6Slide7

Problem 1: Solve by Using Dimensional Analysis

Calamine

80

g

x

240 mL = 19.2 g 1000 mLZinc Oxide 80 g

x

240 mL = 19.2 g

1000

mL

Glycerin

20

mL

x 240 mL = 4.8 mL 1000 mL

Bentonite

250 mL x 240 mL = 60 mL 1000 mLCalcium hydroxide to make 240 mL

7Slide8

Problem 2

From the following formula for an estradiol vaginal gel, calculate the quantity of each ingredient required to prepare 1 lb of gel.

Estradiol

200

g

Polysorbate

80 1

gMethylcellulose Gel, 2% 95 g8Slide9

Problem 2: Solve Using a Factor

9Slide10

Problem 2: Solve Using Dimensional Analysis

10Slide11

Problem 3: Proportional Parts

From the following formula, calculate the quantity of each ingredient required to make 1000 g

of the ointment

Coal Tar 5 parts

Zinc Oxide 10 parts

Hydrophillic

Ointment 50 parts

11Slide12

Problem 3: Proportional Parts

Total number of parts: 5 + 10 + 50 = 65 parts

So 1000g will contain 65 parts

Coal Tar

5 parts

=

x g 65 parts 1000 g x = 76.92

g

Zinc Oxide

10 parts =

x

g

65 parts 1000 g y = 153.85 gHydrophillic

Ointment

50 parts

= x g 65 parts 1000 g z = 769.23 g

12Slide13

Additional Problems

13Slide14

Chapter 16 Problem 5

Calculate the quantity of each ingredient needed to prepare 15 mL

of the following ophthalmic solution:

Eryromycin

l

actobionate

500 mgDexamethasone sodium phosphate 100 mgGlycerin 2.5 mLSterile Water for Injection, a.d. 100 mL

14Slide15

Chapter 16 Problem 5

15Slide16

Chapter 16 Problem 10

According to the literature, when the product Amevive

(

alefacept

) is reconstituted with sterile water for injection it contains the following in each 0.5

mL

Alefacept

7.5 mgSucrose 12.5 mgGlycine 5 mgSodium citrate, dihydrate 3.6 mgCitric acid, monohydrate 0.06 mg

16Slide17

Chapter 16 Problem 10 continuted

How much alefacept

would be needed to manufacture a 5000 batch of vials for reconstitution?

A) 12.5 mg

B) 31.25

g

C) 37.5

gD) 45 g17Slide18

Chapter 16 Problem 10

18Slide19

Chapter 16 Problem 11

The formula for a ciprofloxacin otic

drop is given in the literature as follows:

Ciprofloxacin 1

g

Propylene glycol 50

mL

Glycerin qs ad 100 mLHow many grams of ciprofloxacin would be required to prepare 200 15 mL bottles of the ear drop?

19Slide20

Chapter 16 Problem 11

20Slide21

Questions

21Slide22

Reference

Ansel, H. C. (2009) Phamaceutical

Calculations

(13th Ed.).

Philadelphia:Lippincott

Williams & Wilkins, and

Wolters

Kluwer Publishers22