Pharmaceutical Formulas: Reduction and Enlargement

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Questions and Answers

What is the first step in reducing or enlarging a formula using the ratio and proportion method?

  • Calculate the conversion factor.
  • List all the ingredients.
  • Cross-multiply the ingredients.
  • Identify the desired total quantity. (correct)

Which formula represents the relationship needed to find the amount of each ingredient when enlarging a formula?

  • $ rac{Total\,quantity\,of\,official\,formula}{X} = rac{Amount\,of\,each\,ingredient}{Total\,quantity\,desired}$
  • $ rac{Amount\,of\,each\,ingredient}{Total\,quantity\,desired} = rac{Total\,quantity\,of\,official\,formula}{X}$
  • $ rac{Amount\,of\,each\,ingredient\,in\,the\,official\,formula}{Total\,quantity\,of\,official\,formula} = rac{X}{Total\,quantity\,desired}$ (correct)
  • $ rac{Total\,quantity\,desired}{Total\,quantity\,of\,official\,formula} = rac{X}{Amount\,of\,each\,ingredient}$

What value for peppermint oil would be calculated to make 240 ml of Peppermint Spirit from the official formula?

  • 12 ml
  • 240 ml
  • 24 ml (correct)
  • 30 ml

If the total quantity desired of a preparation is 600 ml and the total quantity of the official formula is 200 ml, what would be the conversion factor?

<p>3 (D)</p> Signup and view all the answers

What is the correct calculation to find the amount of peppermint powder needed for 240 ml of the preparation?

<p>$1000X = 2400$ (A)</p> Signup and view all the answers

What must be ensured when using the conversion factor method?

<p>The units must be compatible and the same. (B)</p> Signup and view all the answers

When using the ratio and proportion method, what is the next step after cross-multiplying?

<p>Isolate the variable X. (C)</p> Signup and view all the answers

How is the conversion factor calculated?

<p>By dividing the total quantity desired by the total quantity of official formula. (A)</p> Signup and view all the answers

In the method of reducing a formula, if the official formula calls for 80 ml and the desired amount is 40 ml, what is the ratio for peppermint oil?

<p>$ rac{1}{2}$ (B)</p> Signup and view all the answers

What is the main objective of performing calculations to reduce or enlarge formulas?

<p>To provide accurate dosages as per needs. (C)</p> Signup and view all the answers

What must be confirmed when using the ratio and proportion method to scale a formula?

<p>The total quantity desired and the total quantity of the official formula are in the same units. (D)</p> Signup and view all the answers

When using the conversion factor method, what is essentially the key step?

<p>Finding the conversion factor by dividing total quantities. (A)</p> Signup and view all the answers

What is a common mistake when calculating ingredient amounts in formula enlargement?

<p>Using different units without conversion. (C)</p> Signup and view all the answers

How is the amount for a specific ingredient determined when applying the ratio and proportion method?

<p>By multiplying the ratio by the total desired quantity. (A)</p> Signup and view all the answers

What precedes the calculation of each ingredient's amount when enlarging a formula?

<p>Identifying the conversion factor between the official and desired quantities. (A)</p> Signup and view all the answers

When using the conversion factor method, what does the factor represent?

<p>The ratio of ingredients to the desired total volume. (C)</p> Signup and view all the answers

When calculating amounts for a preparation, how are proportions in an official formula typically listed?

<p>In grams or liters depending on the ingredient type. (B)</p> Signup and view all the answers

In the example given for calculating Peppermint Spirit, what was the primary operation used to solve for X?

<p>Cross multiplication. (A)</p> Signup and view all the answers

Flashcards

Reducing and Enlarging Formulas

The process of adjusting a pharmaceutical formula to produce a desired quantity. It involves increasing or decreasing the amounts of ingredients while maintaining their proportions.

Pharmaceutical Formula

A set of instructions that specifies the exact amounts of each ingredient required to prepare a specific pharmaceutical preparation. It serves as a blueprint for consistent production.

United States Pharmacopeia/National Formulary (USP/NF)

A standard reference book containing approved formulas and methods for making different pharmaceutical preparations. It provides a foundational guide for pharmacists.

Ratio and Proportion Method

A method used to calculate the amount of each ingredient needed for a new quantity of a pharmaceutical preparation by using proportions and ratios.

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Official Formula

The initial amount of each ingredient required to make a specific quantity of a pharmaceutical preparation as defined in the standard reference book.

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Conversion Factor Method

A simple method for reducing or enlarging formulas that involves calculating a conversion factor based on the desired quantity and the original formula.

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Conversion Factor

A numerical value that represents the ratio of the desired quantity to the original quantity of the pharmaceutical preparation.

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Using Conversion Factor in Formula

This involves multiplying the amount of each ingredient in the official formula by the conversion factor to obtain the required amount for the new quantity.

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Pharmaceutical Calculations

The ability to calculate the exact amount of each ingredient required when adjusting a formula for a different quantity, while maintaining the proportions.

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Concentration Considerations

The practice of ensuring that a formula adjustment results in an appropriate concentration of all ingredients in the final preparation. It's essential for safety and efficacy.

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Study Notes

Reducing and Enlarging Formulas

  • Pharmaceutical preparations often use pre-existing formulas
  • These formulas are often listed in USP/NF (United States Pharmacopeia/National Formulary)
  • Formulas specify the amount of each ingredient needed to make a particular amount of preparation
  • It's necessary to reduce or enlarge formulas to meet various needs

Objectives

  • Calculate to reduce or enlarge pharmaceutical formulas using metric units
  • Calculate to reduce or enlarge pharmaceutical formulas using proportional parts

Introduction

  • Most pharmacy preparations are based on proven formulas
  • These formulas already tested and approved
  • Formulas list the amount of each ingredient needed to produce a specific quantity of preparation
  • Sometimes there's a need to modify formula quantities to suit specific requirements

Ratio and Proportion Method

  • A method to calculate adjusted ingredient amounts
  • The ratio of the desired quantity to the original quantity is equal to the ratio of the needed ingredient amount to the original ingredient amount.
  • Example calculation to make 240 ml of Peppermint Spirit, given a base formula for 1000ml
    • Calculation involves cross-multiplication to solve for the required amount of each ingredient.
    • Peppermint oil: 24 ml
    • Peppermint powder: 2.4 g

Conversion Factor Method

  • An alternate method for formula adjustments
  • Calculate a conversion factor (desired quantity / original quantity)
  • Multiply the conversion factor by the amount of each ingredient in the original formula to determine the required amount
  • Ensure that the units in the 'desired' and 'original' quantities are the same.

Example: Cocoa Syrup

  • Using a conversion factor of 0.12 (120 ml / 1000 ml)
  • Determine needed ingredient quantities for a 120 ml batch
    • Exact ingredient amounts calculated using the formula
    • Examples of ingredients calculated for a 120ml batch: 21.6 g cocoa, 72.0 g sucrose, 21.6 g liquid glucose, 6 ml glycerin, 0.24 g NaCl, 0.024 of vanillin, etc (and 120ml water)

Formulas with Proportional Parts

  • Formulas using "parts" instead of specific weights or volumes
  • "Parts" represent relative proportions of each ingredient
  • Solid ingredients often measured in grams; liquids, in milliliters
  • Example provided, calculating the adjusted amounts for a 1000g ointment batch from a formula that states:
    • Coal Tar: 5 parts
    • Zinc Oxide: 10 parts
    • Hydrophilic Ointment: 50 parts
    • Total Parts = 65, and this combination will make a total of 1000g.
    • Adjusted amounts calculated resulting in: 76.92g Coal Tar, 153.85g Zinc Oxide, and 769.23g Hydrophilic Ointment.

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