Concentration Expressions in Pharmacy

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Questions and Answers

What does % w/v indicate in pharmaceutical terms?

  • g of active drug per 100 mL of product (correct)
  • mL of active drug per 100 g of product
  • g of active drug per 100 g of product
  • mL of active drug per 100 mL of product

How is the concentration of a powdered substance dissolved in a liquid generally calculated?

  • Volume-in-volume basis
  • Weight-in-weight basis
  • Weight-in-volume basis (correct)
  • Parts per million basis

When both drug and vehicle are liquids, how is concentration expressed?

  • Weight-in-weight (w/w)
  • Volume-in-volume (v/v) (correct)
  • Parts per billion (ppb)
  • Weight-in-volume (w/v)

What might affect the calculation basis in a pharmaceutical preparation?

<p>The type of ingredients used (C)</p> Signup and view all the answers

Which statement correctly describes the conversion of % w/w to ratio strength?

<p>It is dependent on the ratio of drug mass to total mass (D)</p> Signup and view all the answers

Which of the following is true regarding % w/w calculations?

<p>It measures grams of drug per 100 grams of product. (A)</p> Signup and view all the answers

What is the purpose of converting weight to liquid measurements in pharmaceutical formulations?

<p>To ensure accuracy in ingredient ratios (A)</p> Signup and view all the answers

What does the term 'weight-in-volume' (w/v) represent?

<p>Grams of active drug per mL of total preparation (D)</p> Signup and view all the answers

What does ratio strength indicate?

<p>Parts of active drug to total parts of product (C)</p> Signup and view all the answers

Which formula would be used to calculate grams of drug needed for a 5% (w/w) solution?

<p>Total weight × percentage (C)</p> Signup and view all the answers

What is the ratio strength equivalent of a 0.02% solution?

<p>1:5000 (A)</p> Signup and view all the answers

How would you calculate the percentage (v/v) for a solution with 4 mL of phenol in 250 mL of lotion?

<p>(Volume of drug/Total volume) × 100 (B)</p> Signup and view all the answers

If you have 1500 g of a solution containing 75 g of a drug substance, what is the percentage strength (w/w) of the solution?

<p>5% (D)</p> Signup and view all the answers

When converting ratio strength 1:4000 to percentage strength, what does it equal?

<p>0.02% (B)</p> Signup and view all the answers

How many grams of a drug are needed to prepare 120 mL of a 20% (w/w) solution if the specific gravity is 1.15?

<p>30 g (C)</p> Signup and view all the answers

To find the percentage strength (w/v) of a 800 g liquid with a specific gravity of 0.8 in 4000 mL of water, what is the formula used?

<p>(grams of liquid/Total volume) × 100 (A)</p> Signup and view all the answers

Flashcards

Concentration

The amount of a substance present in a given amount of product.

Percent Weight-in-Volume (% w/v)

The ratio of an ingredient's weight to the product's volume (g/mL).

Percent Volume-in-Volume (% v/v)

The ratio of an ingredient's volume to the product's volume (mL/mL).

Percent Weight-in-Weight (% w/w)

The ratio of an ingredient's weight to the product's weight (g/g).

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Ratio Strength

A specific ratio expressing the amount of active ingredient in a preparation, represented as 1:N, where 'N' indicates the total amount of preparation for each unit of active ingredient.

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Converting % Strength to Ratio Strength

Converting a % strength to a ratio strength: 1. Divide 100 by the % strength. 2. Simplify the resulting ratio.

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Converting Ratio Strength to % Strength

Converting a ratio strength to a % strength: 1. Divide 1 by the ratio strength. 2. Multiply the result by 100.

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Special Considerations in Percentage Calculations

The basis of the calculation depends on the nature of ingredients in the product: * Solids dissolved in liquids: Weight-in-volume basis. * Solids mixed with solids or semi-solids: Weight-in-weight basis. * Liquids in liquids: Volume-in-volume basis.

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Percentage Strength

A way to express the concentration of a drug in a solution as a percentage. Percentage strength is calculated as the weight or volume of the active drug per 100 units of the total solution.

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Ratio/Percentage Interconversion

The process of converting between ratio strength and percentage strength. It involves understanding the relationship between the two expressions of concentration.

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Injectable

A solution used for injections, typically containing a dissolved drug in a liquid vehicle.

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Study Notes

Concentration Expressions

  • Concentration describes the ratio of the amount of an ingredient to the amount of the product. It can be measured in various ways.

Objectives

  • Define percent weight-in-volume, percent volume-in-volume, and percent weight-in-weight.
  • Define the term "ratio strength."
  • Convert percent strength to ratio strength and vice versa.
  • Calculate percent strength and ratio strength of a pharmaceutical preparation.
  • Apply percent and ratio strength to calculate the quantity of an ingredient in a pharmaceutical preparation.
  • Apply percent and ratio strength for calculating ingredient quantities in compounding.

Concentration Calculation Methods

  • Solid in Liquid (w/v): Weight of solid per volume of liquid.
  • Liquid in Solid (v/w): Volume of liquid per weight of solid.
  • Liquid in Liquid (v/v): Volume of liquid per volume of liquid.
  • Solid in Solid (w/w): Weight of solid per weight of solid.

Percentage

  • Percentage relates parts of active drug to 100 parts of total.
  • Incomplete notation: Must specify if it's w/w (weight-in-weight), w/v (weight-in-volume), or v/v (volume-in-volume).
  • Examples provided for each type of percentage.

Special Considerations in Percentage Calculations

  • The nature of ingredients dictates the calculation basis.
    • Powders in liquids (weight-in-volume).
    • Powders in solids/semisolids (weight-in-weight).
    • Liquids in liquids (volume-in-volume).
  • Converting between units (weight to liquid volume, or vice versa) may be needed.

Ratio Strength

  • Ratio strength expresses concentration as parts of active drug relative to any number of parts of the whole.
  • Expresses the ratio of active drug to the total amount of the product.
  • 1:1000 is different than 1%.
  • Examples provided for converting between ratio strength and percentage strength.

Percent Weight-in-Volume (w/v)

  • Volume x percent (as a decimal) = grams of solute or constituent.
  • Examples provided demonstrating the calculations.

Percent Weight-in-Weight (w/w)

  • Weight of solution x percent (as a decimal) = grams of solute.
  • Examples provided demonstrating the calculations.

Percent Volume-in-Volume (v/v)

  • Volume x percent (as a decimal) = milliliters of active ingredient.
  • Examples provided demonstrating the calculations.

Milligram per Milliliter (mg/mL), Parts Per Million (ppm)

  • Other concentration expressions; examples of converting percentages to these units included.
  • Parts per million (ppm) expresses the ratio of parts of a substance to one million parts of the whole.

Examples:

  • Calculations demonstrating the application of the above concepts are provided throughout the notes. Specific examples involving various drugs and solution preparations (e.g., potassium permanganate, dextrose) are featured.

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