Calculating Concentrations in Solutions (g/dm³)
Introduction
Concentration tells us how much solute is dissolved in a given amount of solvent. In this tutorial, we will focus on expressing concentration in grams per cubic decimetre (g/dm³).
What is a Solute and a Solvent?
- Solute: The substance that dissolves in a solution (e.g., sugar in water).
- Solvent: The substance that dissolves the solute (e.g., water in a sugar solution).
Calculating Concentration
Concentration (g/dm³) = Mass of solute (g) / Volume of solution (dm³)
Example 1: Calculating Concentration
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Problem: A solution is made by dissolving 25g of sodium chloride (NaCl) in 250 cm³ of water. What is the concentration of the solution in g/dm³?
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Step 1: Convert volume to dm³
- 1 dm³ = 1000 cm³
- 250 cm³ = 250/1000 dm³ = 0.25 dm³
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Step 2: Apply the formula
- Concentration (g/dm³) = 25 g / 0.25 dm³ = 100 g/dm³
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Answer: The concentration of the solution is 100 g/dm³.
Example 2: Calculating Mass of Solute
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Problem: A chemist needs to make 500 cm³ of a 0.5 g/dm³ sugar solution. How much sugar is needed?
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Step 1: Convert volume to dm³
- 500 cm³ = 500/1000 dm³ = 0.5 dm³
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Step 2: Rearrange the formula to find mass
- Mass of solute (g) = Concentration (g/dm³) x Volume of solution (dm³)
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Step 3: Substitute the values
- Mass of solute (g) = 0.5 g/dm³ x 0.5 dm³ = 0.25 g
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Answer: The chemist needs 0.25 g of sugar.
Tips for Success
- Always remember to convert volumes to dm³ before applying the formula.
- Pay close attention to the units in the problem and make sure your answer has the correct units.
- Practice with different examples to build your confidence.
Key Concepts
- Concentration is a measure of how much solute is dissolved in a given amount of solvent.
- Concentration can be expressed in grams per cubic decimetre (g/dm³).
- We can use the formula: Concentration (g/dm³) = Mass of solute (g) / Volume of solution (dm³) to calculate concentration, mass of solute, or volume of solution.
Remember: Practice makes perfect!