Cambridge IGCSE0620

Experimental design

Chemistry 0620 Chapter Notes

What this chapter covers

Experimental designAcid–base titrationsChromatographySeparation and purificationIdentification of ions and gases
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1. The Scientific Method and Variables

Chemistry is a practical science built on the scientific method. This is a logical process for discovering new knowledge. It starts with an observation that leads to a question. You then form a hypothesis, which is a testable prediction or explanation. To test it, you plan and carry out a controlled experiment. In any experiment, it's crucial to understand variables. The independent variable is the one factor you deliberately change to see its effect. The dependent variable is what you measure to see if it changes; its value depends on the independent variable. All other factors that could possibly affect the outcome must be kept constant; these are the controlled variables. This ensures a fair test, where only the independent variable is causing the observed changes in the dependent variable.

Key term

Controlled Variable: A factor or condition in an experiment that is intentionally kept constant to ensure a fair test.

Examiner insight

Examiners reward students who can clearly identify all three types of variables: independent, dependent, and controlled, in a given experimental context.

Common pitfall

Confusing a 'control experiment' (a baseline run with the independent variable absent) with 'controlled variables' (factors kept constant throughout all runs).

Worked example 16 marks

A student wants to investigate how the concentration of hydrochloric acid affects the rate of its reaction with magnesium ribbon. Plan an experiment for the student, identifying the key variables.

  1. 1
    1. Hypothesis: A higher concentration of hydrochloric acid will result in a faster reaction with magnesium.
  2. 2
    1. Independent Variable: The concentration of hydrochloric acid (e.g., using 0.5 M, 1.0 M, 1.5 M, 2.0 M solutions).
  3. 3
    1. Dependent Variable: The rate of reaction. This can be measured by timing how long it takes for a fixed length of magnesium ribbon to disappear, or by measuring the volume of hydrogen gas produced in a set time (e.g., 60 seconds) using a gas syringe.
  4. 4
    1. Controlled Variables: To ensure a fair test, keep the following constant: the volume of acid used for each trial, the length and mass of the magnesium ribbon, and the temperature of the reaction mixture.
  5. 5
    1. Method: Add a 2 cm piece of magnesium ribbon to 50 cm³ of 0.5 M HCl in a conical flask and immediately start a timer. Stop the timer when the magnesium has completely reacted. Record the time. Repeat the experiment with the other concentrations of HCl. To improve reliability, repeat each concentration three times and calculate an average time.
  6. 6
    1. Analysis: The rate of reaction can be calculated as 1/time. A graph of rate (y-axis) against concentration (x-axis) can then be plotted to show the relationship.

Recap

  • The scientific method is a cycle of observation, hypothesis, experimentation, and conclusion.
  • The independent variable is the one you change.
  • The dependent variable is the one you measure.
  • Controlled variables are all other factors you must keep the same for a fair test.
  • Experiments should be repeated to ensure results are reliable and to calculate an average.

Quick check

  1. In an experiment to test how light intensity affects the rate of photosynthesis, what is the dependent variable?1 mark
  2. Why is it important to only change one variable at a time in an experiment?1 mark

2. Laboratory Apparatus and Accuracy

Choosing the correct apparatus is vital for accurate and reliable results. Different pieces of glassware are designed for different levels of precision. For approximate volumes, a beaker is suitable. A measuring cylinder offers better accuracy. For preparing solutions or for titrations where high precision is needed, volumetric flasks, burettes, and pipettes are essential. A pipette is designed to deliver a single, highly accurate fixed volume (e.g., 25.0 cm³). A burette can deliver variable, precise volumes and allows you to measure the exact volume delivered. A volumetric flask is used to make up a solution to a specific volume with high accuracy.

Key term

Pipette: A piece of laboratory apparatus calibrated to deliver a highly accurate, fixed volume of liquid.

Examiner insight

Marks are often awarded for selecting the most appropriate piece of apparatus for a specific measurement and justifying the choice based on accuracy.

Common pitfall

Stating that a measuring cylinder is accurate enough for a titration. It is not; a pipette or burette must be used for precise measurements.

Worked example 12 marks

A student needs to measure out exactly 25.0 cm³ of sodium hydroxide solution to add to a conical flask for a titration. Which single piece of apparatus should they use and why?

  1. 1
    1. Apparatus: A 25.0 cm³ pipette.
  2. 2
    1. Justification: A pipette is calibrated to deliver a single, fixed volume with very high accuracy and precision, which is crucial for a titration. A measuring cylinder would not be accurate enough, and a burette is used for delivering the variable volume of titrant, not for measuring the initial sample.

Worked example 22 marks

Arrange the following in order of increasing accuracy for measuring liquid volumes: burette, beaker, pipette, measuring cylinder.

  1. 1
    1. Least accurate: Beaker.
  2. 2
    1. More accurate: Measuring cylinder.
  3. 3
    1. High accuracy: Burette.
  4. 4
    1. Most accurate (for a fixed volume): Pipette.
  5. 5

    Final Order: Beaker < Measuring Cylinder < Burette < Pipette.

Recap

  • Beakers are for approximate volumes and holding liquids.
  • Measuring cylinders are for measuring approximate volumes.
  • Burettes deliver variable but precise volumes, read from top down.
  • Pipettes deliver a single, highly accurate fixed volume.
  • Volumetric flasks are used to prepare a standard solution of a precise volume.
  • Accuracy order (least to most): Beaker, Measuring Cylinder, Burette, Pipette.

Quick check

  1. What piece of apparatus is used to collect gas produced during a reaction and measure its volume?1 mark

3. Separation and Purification Techniques

Chemists often need to separate mixtures into their pure components. The method used depends on the physical properties of the substances.

  • Filtration: Separates an insoluble solid from a liquid (e.g., sand from water) using filter paper and a funnel. The solid left on the paper is the residue, and the liquid that passes through is the filtrate.
  • Crystallisation: Separates a soluble solid from a solution (e.g., salt from water). The solution is heated to evaporate some of the solvent, creating a saturated solution. Upon cooling, the solid forms pure crystals.
  • Simple Distillation: Separates a liquid from a dissolved solid (e.g., pure water from salt water). The liquid is boiled, turns into a vapour, then passes through a condenser where it cools and turns back into a pure liquid (the distillate).
  • Fractional Distillation: Separates a mixture of liquids with different boiling points (e.g., ethanol and water). The mixture is heated, and the liquid with the lower boiling point vaporises first, rises up a fractionating column, cools, and condenses separately.
  • Paper Chromatography: Separates mixtures of soluble substances (e.g., inks). A spot of the mixture is placed on a baseline on filter paper (the stationary phase). The bottom of the paper is dipped in a solvent (the mobile phase). As the solvent moves up the paper, it carries the different substances at different speeds, separating them based on their solubility and attraction to the paper.

Rf = (distance moved by substance) / (distance moved by solvent)

Key term

Distillate: The purified liquid produced by condensation during distillation.

Fun fact

The complex flavours and aromas in perfumes are created by separating essential oils from plants using techniques like distillation and chromatography.

Worked example 15 marks

Describe how you would obtain a pure, dry sample of copper(II) sulfate crystals from a solution of copper(II) sulfate.

  1. 1
    1. Pour the copper(II) sulfate solution into an evaporating basin.
  2. 2
    1. Gently heat the solution to evaporate about half of the water. This concentrates the solution.
  3. 3
    1. To check if the solution is saturated, dip a glass rod into the solution. If crystals form on the rod as it cools, the solution is ready.
  4. 4
    1. Leave the saturated solution to cool slowly at room temperature.
  5. 5
    1. As the solution cools, blue copper(II) sulfate crystals will form.
  6. 6
    1. Filter the crystals from the remaining solution using a filter funnel and paper.
  7. 7
    1. Wash the crystals with a small amount of cold, distilled water to remove any impurities.
  8. 8
    1. Dry the crystals by pressing them between sheets of filter paper or by leaving them in a warm, dry place.

Recap

  • Filtration separates an insoluble solid from a liquid.
  • Crystallisation separates a soluble solid from its solution.
  • Simple distillation separates a solvent from a solution.
  • Fractional distillation separates liquids with different boiling points.
  • Chromatography separates substances based on their different solubilities in a solvent.
  • The Rf value in chromatography is always less than 1.

Quick check

  1. Which technique would you use to separate ethanol (boiling point 78 °C) from water (boiling point 100 °C)?1 mark
  2. In paper chromatography, what are the stationary phase and the mobile phase?2 marks

4. Quantitative Analysis: Titrations

Titration is a highly accurate technique used to determine the concentration of an unknown solution. It involves reacting a solution of known concentration (a standard solution) with a solution of unknown concentration. For an acid-alkali titration, a pipette is used to measure a precise volume of one solution into a conical flask. A few drops of an indicator (e.g., methyl orange or phenolphthalein) are added. The other solution is placed in a burette and added drop by drop to the flask while swirling. The point at which the indicator just changes colour is the end point, signifying that the reaction is complete. By recording the volume added from the burette (the titre), you can calculate the unknown concentration.

Concentration (mol/dm³) = Moles (mol) / Volume (dm³)

Moles = Concentration × Volume

Key term

End Point: The point in a titration where the indicator changes colour, showing that the reaction is just complete.

Examiner insight

Examiners look for a clear, step-by-step calculation method. Always show your working, starting with calculating the moles of the known solution.

Common pitfall

Forgetting to convert volumes from cm³ to dm³ (by dividing by 1000) before using them in the moles = concentration × volume formula.

Worked example 14 marks

In a titration, 25.0 cm³ of 0.100 mol/dm³ sodium hydroxide (NaOH) was neutralised by 20.0 cm³ of hydrochloric acid (HCl) of unknown concentration. Calculate the concentration of the hydrochloric acid. The equation is: NaOH + HCl → NaCl + H₂O.

  1. 1
    1. Calculate moles of the known substance (NaOH). First, convert volume to dm³: 25.0 cm³ / 1000 = 0.0250 dm³.
  2. 2
    1. Moles NaOH = Concentration × Volume = 0.100 mol/dm³ × 0.0250 dm³ = 0.00250 mol.
  3. 3
    1. Use the balanced equation to find the mole ratio. The ratio of NaOH : HCl is 1 : 1.
  4. 4
    1. Therefore, moles of HCl that reacted = 0.00250 mol.
  5. 5
    1. Calculate the concentration of the unknown substance (HCl). First, convert volume to dm³: 20.0 cm³ / 1000 = 0.0200 dm³.
  6. 6
    1. Concentration HCl = Moles / Volume = 0.00250 mol / 0.0200 dm³ = 0.125 mol/dm³.

Recap

  • Titration is used to find the concentration of a solution.
  • A pipette measures the fixed volume of solution in the flask.
  • A burette delivers the variable volume of the other solution (the titrant).
  • An indicator is used to show the end point of the reaction.
  • Calculations involve moles, concentration, and volume.
  • Always repeat titrations until you have at least two concordant results (within 0.10 cm³ of each other) and use the average of these for your calculation.

Quick check

  1. Name a suitable indicator for a strong acid-strong alkali titration.1 mark
  2. Why should a conical flask be swirled during a titration?1 mark

5. Preparation and Tests for Gases

In the lab, specific reactions are used to prepare gases. The method of collection depends on the gas's properties (density and solubility in water). Each gas also has a unique chemical test for identification.

  • Hydrogen (H₂): Prepared by reacting a metal (like zinc) with an acid (like dilute HCl). It's less dense than air, so can be collected by downward displacement of air or over water. Test: A lit splint makes a 'squeaky pop'.
  • Oxygen (O₂): Prepared by the catalytic decomposition of hydrogen peroxide (H₂O₂), using manganese(IV) oxide as a catalyst. It is slightly denser than air and insoluble, so it is best collected over water. Test: Relights a glowing splint.
  • Carbon Dioxide (CO₂): Prepared by reacting a carbonate (like calcium carbonate) with an acid (like dilute HCl). It's denser than air and slightly soluble, so it's collected by upward displacement of air or over water (for short periods). Test: Bubbling it through limewater (calcium hydroxide solution) turns it milky/cloudy.
  • Ammonia (NH₃): Prepared by gently heating an ammonium salt (like ammonium chloride) with a strong base (like calcium hydroxide). It is less dense than air and very soluble in water, so must be collected by downward displacement of air. Test: Turns damp red litmus paper blue.

Zn(s) + 2HCl(aq) → ZnCl₂(aq) + H₂(g)

2H₂O₂(aq) → 2H₂O(l) + O₂(g) (with MnO₂ catalyst)

CaCO₃(s) + 2HCl(aq) → CaCl₂(aq) + H₂O(l) + CO₂(g)

2NH₄Cl(s) + Ca(OH)₂(s) → CaCl₂(s) + 2H₂O(l) + 2NH₃(g)

Key term

Limewater: A saturated aqueous solution of calcium hydroxide, used to test for carbon dioxide.

Examiner insight

For gas preparation questions, full marks often require a correctly labelled diagram of the apparatus, the correct chemical equation, and the correct method of collection with a justification.

Worked example 12 marks

Describe the chemical test to identify oxygen gas, including the expected positive result.

  1. 1
    1. Obtain a wooden splint and light it, then blow it out so it is still glowing.
  2. 2
    1. Place the glowing splint into the test tube containing the unknown gas.
  3. 3
    1. Positive result: If the gas is oxygen, the glowing splint will relight.

Worked example 21 mark

A student prepares ammonia gas in the lab. Why can it not be collected over water?

  1. 1
    1. Ammonia gas is extremely soluble in water.
  2. 2
    1. If collection over water were attempted, the gas would dissolve in the water instead of collecting in the measuring cylinder.

Recap

  • Hydrogen gives a 'squeaky pop' with a lit splint.
  • Oxygen relights a glowing splint.
  • Carbon dioxide turns limewater milky.
  • Ammonia turns damp red litmus paper blue.
  • Chlorine bleaches damp litmus paper.
  • Gas collection depends on density relative to air and solubility in water.

Quick check

  1. Write the balanced chemical equation for the test for carbon dioxide.2 marks
  2. Which gas is collected by upward displacement of air (downward delivery)?1 mark

6. Qualitative Analysis: Identifying Ions

Qualitative analysis is the process of identifying the chemical substances present in a sample. You can identify unknown cations (positive ions) and anions (negative ions) using a series of simple test-tube reactions that usually produce a precipitate (an insoluble solid) or a gas. Cation Tests:

  1. Add aqueous sodium hydroxide (NaOH) dropwise, then in excess. Observe any precipitate colour and whether it redissolves.
  2. Add aqueous ammonia (NH₃) dropwise, then in excess. Observe any precipitate colour and whether it redissolves.

Key results: Cu²⁺ gives a blue precipitate with both. Fe²⁺ gives a green precipitate. Fe³⁺ gives a red-brown precipitate. Al³⁺, Zn²⁺, and Ca²⁺ all give a white precipitate with NaOH; in excess NaOH, Al³⁺ and Zn²⁺ precipitates redissolve but Ca²⁺ does not. To distinguish Al³⁺ and Zn²⁺, use aqueous ammonia: the Zn²⁺ precipitate redissolves in excess ammonia, but the Al³⁺ precipitate does not. Anion Tests:

  • Carbonate (CO₃²⁻): Add dilute acid. Effervescence (fizzing) is seen. Bubble the gas through limewater; it turns milky.
  • Sulfate (SO₄²⁻): Add dilute nitric acid, then aqueous barium nitrate. A white precipitate (barium sulfate) forms.
  • Halide (Cl⁻, Br⁻, I⁻): Add dilute nitric acid, then aqueous silver nitrate. Cl⁻ gives a white precipitate. Br⁻ gives a cream precipitate. I⁻ gives a yellow precipitate.

Ag⁺(aq) + Cl⁻(aq) → AgCl(s)

Ba²⁺(aq) + SO₄²⁻(aq) → BaSO₄(s)

Key term

Precipitate: An insoluble solid that forms from a solution during a chemical reaction.

Examiner insight

Be precise with precipitate colours. 'Red-brown' is better than 'brown' for Fe³⁺(aq), and 'cream' is required for AgBr, not just 'white' or 'yellow'.

Common pitfall

Mixing up the results for Al³⁺ and Zn²⁺ with excess reagents. Remember: Both redissolve in excess NaOH, but only Zn²⁺ redissolves in excess NH₃(aq).

Worked example 14 marks

An unknown solution, Z, is tested. Adding aqueous sodium hydroxide produces a green precipitate. Adding dilute nitric acid followed by aqueous silver nitrate produces a cream precipitate. Identify the cation and anion in solution Z, and state the name of the compound.

  1. 1
    1. Cation test: A green precipitate with sodium hydroxide is the characteristic test for the Iron(II) ion, Fe²⁺.
  2. 2
    1. Anion test: The addition of acidified silver nitrate is the test for halide ions. A cream precipitate indicates the presence of the Bromide ion, Br⁻.
  3. 3
    1. Conclusion: The cation is Fe²⁺ and the anion is Br⁻.
  4. 4
    1. Name of compound: Iron(II) bromide.

Recap

  • Use NaOH(aq) and NH₃(aq) to test for cations like Cu²⁺, Fe²⁺, Fe³⁺, Al³⁺, and Zn²⁺.
  • A blue precipitate indicates Cu²⁺ ions.
  • A green precipitate indicates Fe²⁺ ions; a red-brown precipitate indicates Fe³⁺ ions.
  • Add acid to test for carbonate ions (look for fizzing).
  • Use acidified barium nitrate to test for sulfate ions (white precipitate).
  • Use acidified silver nitrate to test for halide ions (white for Cl⁻, cream for Br⁻, yellow for I⁻).

Quick check

  1. What is the result of adding excess aqueous ammonia to a solution containing copper(II) ions?2 marks
  2. Why is nitric acid added before testing for halide or sulfate ions?1 mark

End-of-chapter exercise

Test yourself on the whole chapter. Work through these before moving on.

  1. Describe, with the aid of a labelled diagram, how you would separate sand from a mixture of sand and salt water, and then obtain pure water from the salt water.6 marks
  2. A student investigates the reaction between marble chips (calcium carbonate) and hydrochloric acid. They want to find out how surface area affects the reaction rate. Identify the independent variable, the dependent variable, and two variables that must be controlled.4 marks
  3. 25.0 cm³ of a 0.20 mol/dm³ solution of sulfuric acid (H₂SO₄) is exactly neutralised by 40.0 cm³ of potassium hydroxide (KOH) solution. Calculate the concentration of the potassium hydroxide solution in mol/dm³. The equation is: H₂SO₄ + 2KOH → K₂SO₄ + 2H₂O.4 marks
  4. Name the correct piece of laboratory apparatus for each of the following tasks: (a) Measuring exactly 25.0 cm³ of a liquid. (b) Holding a reaction mixture in a titration that needs to be swirled. (c) Separating an insoluble solid from a liquid.3 marks
  5. Describe the preparation of dry carbon dioxide gas in a laboratory. Your answer should include the names of the reactants, a balanced chemical equation, and a description of how the gas is collected.5 marks
  6. In a paper chromatography experiment, a solvent front moved 8.0 cm up the paper. A red spot from a food colouring mixture moved 6.0 cm. Calculate the Rf value for this red spot.2 marks
  7. A white solid, compound A, is analysed. When heated strongly, it decomposes to produce a gas that relights a glowing splint. A flame test on compound A produces a lilac colour. Identify the gas, the cation, and suggest the name of compound A.3 marks
  8. Solution B contains a single salt. When aqueous sodium hydroxide is added, a white precipitate is formed which dissolves when excess sodium hydroxide is added. When aqueous ammonia is added, a white precipitate is formed which does not dissolve in excess. Identify the cation in solution B.2 marks
  9. Describe the chemical tests you would carry out to distinguish between aqueous sodium chloride and aqueous sodium iodide. State the expected results for both solutions.4 marks
  10. Explain why a burette is more suitable than a measuring cylinder for use in a titration.2 marks

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