Back to homePhysics and Chemistry · 4th ESO A · Change subject
Start for free
ESO Y4A · Physics and Chemistry
Matter · Solutions and gases

Solutions

A can of fizzy drink contains dissolved sugar, but it also has a label with numbers: "10,6 g of sugar per 100 mL". In 2nd ESO you learnt how to talk about solutions. Now it is time to work with them using real numbers, the same ones a laboratory uses or those on the label of any product in the supermarket.

Before you start, make sure you know: Solutions and concentration (2nd ESO)
Before you start, make sure you know: Density (2nd ESO)

Revision: concentration as a percentage by mass

If you dissolve a spoonful of cocoa in half a glass of milk and an identical spoonful in a full mug, the first glass ends up darker and sweeter even though both contain the same amount of cocoa: how do we measure that proportion numerically by comparing masses?

Beaker containing a solution: solute particles (purple) spread throughout the solvent (blue); the mass of the solution is the mass of the solute plus the mass of the solvent. mass of solution = mass of solute + mass of solvent solution (whole beaker) solute solvent (water)
Practice★☆☆Not started
To fertilise her balcony plants, Nora dissolves $30\ \text{g}$ of soluble fertilizer in water to make $2\ \text{L}$ of solution. Mass concentration is calculated by…

To fertilise her balcony plants, Nora dissolves $30\ \text{g}$ of soluble fertilizer in water to make $2\ \text{L}$ of solution. Mass concentration is calculated by dividing the grams of solute by the litres of solution. What is the concentration of the fertilizer, in $\text{g/L}$?

Solve
Practice★☆☆Not started
To gargle, Marcos dissolves $5\ \text{g}$ of salt in $95\ \text{g}$ of water. a) How many grams of solution does he obtain in total? b) Percentage by mass is calculated…

To gargle, Marcos dissolves $5\ \text{g}$ of salt in $95\ \text{g}$ of water.

  1. a) How many grams of solution does he obtain in total?
  2. b) Percentage by mass is calculated by dividing the mass of solute by the total mass of solution and multiplying by $100$. What is the percentage by mass of salt?
Solve

Concentration in grams per litre

Beaker with one litre of solution in which 9 g of salt are dissolved and spread throughout the liquid. Its concentration is 9 g/L. 1 L 0,75 L 0,5 L 0,25 L 1 L of solution 9 g of salt dissolved (solute) c = 9 g ÷ 1 L = 9 g/L
Practice★☆☆Not started
A homemade hand sanitiser gel is prepared by mixing $30\ \text{mL}$ of alcohol with aloe vera to make up $150\ \text{mL}$ of gel. Percentage by volume is calculated by…

A homemade hand sanitiser gel is prepared by mixing $30\ \text{mL}$ of alcohol with aloe vera to make up $150\ \text{mL}$ of gel. Percentage by volume is calculated by dividing the volume of solute by the total volume of solution and multiplying by $100$. What is the percentage by volume of alcohol in the gel?

Solve
Practice★★☆Not started
In the laboratory, Aitana dissolves $12\ \text{g}$ of potassium nitrate in water to make $300\ \text{mL}$ of solution. Calculate the concentration in $\text{g/L}$. Note:…

In the laboratory, Aitana dissolves $12\ \text{g}$ of potassium nitrate in water to make $300\ \text{mL}$ of solution. Calculate the concentration in $\text{g/L}$. Note: convert the volume to litres first.

Solve

Converting from one concentration to another using density

To convert between percentage by mass and g/L you need the density of the solution: the bridge between mass and volume.

From percentage by mass to grams per litre with the example of 36 % acid with density 1.18 g/mL: the density gives the mass of one litre and the percentage the part that is solute. 1 L of solution1000 mL mass of 1 L1180 g solute in 1 L424.8 g × ρ 1.18 g/mL × 36 % c = 424.8 g/L
Practice★★☆Not started
You are asked to prepare $500\ \text{mL}$ of a copper sulphate solution with a concentration of $8\ \text{g/L}$. a) How many grams of copper sulphate should you weigh…

You are asked to prepare $500\ \text{mL}$ of a copper sulphate solution with a concentration of $8\ \text{g/L}$.

  1. a) How many grams of copper sulphate should you weigh out?
  2. b) Describe how you would prepare the solution in the laboratory, naming the apparatus you would use (balance, beaker, funnel, $500\ \text{mL}$ volumetric flask...) and at what point you top up to the mark.
Solve
Practice★★☆Not started
A surface disinfectant label states "$70\ \%$ alcohol by volume". How many millilitres of alcohol does a $250\ \text{mL}$ bottle of this disinfectant contain?

A surface disinfectant label states "$70\ \%$ alcohol by volume". How many millilitres of alcohol does a $250\ \text{mL}$ bottle of this disinfectant contain?

Solve
Practice★★★Not started
A laboratory purchases a stock solution of a reagent with a concentration of $60\ \text{g/L}$. For a lab practical, you need $500\ \text{mL}$ of a diluted solution of…

A laboratory purchases a stock solution of a reagent with a concentration of $60\ \text{g/L}$. For a lab practical, you need $500\ \text{mL}$ of a diluted solution of $12\ \text{g/L}$.

  1. a) What volume of the stock solution must you measure?
  2. b) Describe the entire procedure in the laboratory: what equipment you use (pipette or graduated cylinder, $500\ \text{mL}$ volumetric flask, dropper…) and what bringing to the mark means.
  3. c) Why is it not enough to just measure the calculated volume of stock solution and add the rest of the water measured with a graduated cylinder to reach $500\ \text{mL}$?
Solve

Solubility, saturation and mixing solutions

If you put a teaspoon of salt into a glass of water it dissolves straight away, but if you keep adding spoonfuls there comes a point when the grains pile up at the bottom no matter what you do: what is the exact limit of solute that a solvent can take?

Graph showing the rising solubility curve of a solid solute in water as the temperature increases. solubility of a solid g solute / 100 g water temperature (°C)
Practice★★☆Not started
To clean silver, Julia prepares a solution with $40\ \text{g}$ of sodium hydrogen carbonate in $360\ \text{g}$ of water. a) What total mass of solution does she obtain?…

To clean silver, Julia prepares a solution with $40\ \text{g}$ of sodium hydrogen carbonate in $360\ \text{g}$ of water.

  1. a) What total mass of solution does she obtain?
  2. b) Calculate its percentage by mass of bicarbonate.
Solve
Practice★★★Not started
You mix $200\ \text{mL}$ of a $30\ \text{g/L}$ salt solution with $300\ \text{mL}$ of another salt solution at $10\ \text{g/L}$ in the same container. Assume the final…

You mix $200\ \text{mL}$ of a $30\ \text{g/L}$ salt solution with $300\ \text{mL}$ of another salt solution at $10\ \text{g/L}$ in the same container. Assume the final volume is the sum of the two. The diagram shows the mixture.

200 mL 30 g/L + 300 mL 10 g/L 500 mL c = ? g/L
  1. a) How many grams of salt does each solution provide?
  2. b) What is the concentration of the mixture, in $\text{g/L}$?
  3. c) Why is the final concentration not $20\ \text{g/L}$, the mean of the two concentrations?
Solve
Practice★★★Not started
For a crystallisation experiment, you must prepare $400\ \text{g}$ of a $8\ \%$ by mass potassium nitrate solution. a) How many grams of potassium nitrate and how many…

For a crystallisation experiment, you must prepare $400\ \text{g}$ of a $8\ \%$ by mass potassium nitrate solution.

  1. a) How many grams of potassium nitrate and how many grams of water should you weigh?
  2. b) Describe how you would prepare the solution and explain why this time you do not need a volumetric flask or to top up to the mark.
  3. c) Then you add $100\ \text{g}$ more of water. What is the new percentage by mass?
Solve

Back to the start: the $10{,}6\ \text{g}$ per $100\ \text{mL}$ of the fizzy drink are equivalent to a concentration of $106\ \text{g/L}$; a standard $330\ \text{mL}$ can therefore contains about $35\ \text{g}$ of sugar, which is almost nine sugar cubes.

Summary

See all the exercises in this section