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Weight/Volume Concentrations

Jul 1, 2025

Overview

This lesson explains how to calculate weight/volume (w/v) concentrations, an essential skill for preparing pharmaceutical mixtures.

Weight/Volume Concentrations: Concepts

  • Weight/volume (w/v) concentration describes grams of solute per 100 milliliters of total solution.
  • Commonly involves a solid active ingredient dissolved in a liquid base (e.g., powder in syrup).
  • Percent strength expresses the percentage of solute in the total mixture.

Calculating Weight/Volume Percent Strength

  • The formula: (grams of solute ÷ milliliters of solution) × 100 = percent strength (% w/v).
  • Step 1: Write the ratio of grams solute over total volume in milliliters.
  • Step 2: Divide grams by milliliters to get a decimal.
  • Step 3: Multiply the decimal by 100 to find the percentage.

Example Calculations

  • Example 1: 25 g in 250 mL. Ratio: 25/250 = 0.1; 0.1 × 100 = 10%.
  • Example 2: 10 g in 100 mL. Ratio: 10/100 = 0.1; 0.1 × 100 = 10%.
  • Example 3: 5 g in 250 mL. Ratio: 5/250 = 0.02; 0.02 × 100 = 2%.

Key Terms & Definitions

  • Weight/Volume (w/v) concentration — grams of solute per 100 milliliters of total solution.
  • Percent strength — the percentage of active ingredient in the total mixture.
  • Solute — the solid substance (active ingredient) being dissolved.
  • Solution — the combination of solute and liquid base.

Action Items / Next Steps

  • Practice calculating weight/volume concentrations using provided or new examples.
  • Be prepared to test your understanding of these calculations.