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3.1Unit 1 · Physical & Organic Chemistry

Energetics — Edexcel IGCSE Chemistry Modular - UNIT 1 Revision Notes & Topical Questions

15 min read 16 parts Lesson 1 of 5 1 quiz

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Distinguish exothermic and endothermic reactions and draw energy level diagrams.Q = m × c × ΔT (Q in J, m in g, c = 4.2 J/g/°C for water).ΔH = −Q ÷ n for an exothermic reaction (kJ/mol).1 cm3 of dilute solution is assumed to have a mass of 1 g.Exothermic ΔH is negative; endotherm…

  • Calorimetry
  • Energetics calculations
  • Bond energy
  • Practical – temperature changes
  • Energy is conserved
  • Reducing heat loss with fuels

Section 1 of 16Energetics

Exothermic and endothermic
Exothermic and endothermic in an exothermic reaction energy is transferred to the surroundings and temperature increases (combustion, neutralisation, respiration). In an endothermic reaction energy is taken in and temperature decreases (thermal decomposition of CaCO3, dissolving ammonium nitrate).
The heat energy change at constant pressure is the enthalpy change, ΔH. It is negative for exothermic and positive for endothermic reactions and is usually given in kJ/mol.
Calorimetry
Calorimetry reactions in solution are carried out in an insulated polystyrene cup; for fuels, the flame heats water in a metal can. The temperature change of the water or solution is used to calculate heat transferred.
Energetics calculations
Q = mcΔT, where m is the mass of the water or solution (not the reactants), c = 4.2 J/g/°C and ΔT is the temperature change. Convert to kJ, then divide by the moles of the limiting reactant to find ΔH.
Energy level diagrams
Energy level diagrams for an exothermic reaction the products are drawn lower than the reactants with a downward arrow labelled ΔH; for an endothermic reaction the products are higher. Activation energy is shown as a hump from reactants to the peak.
Bond energy
Bond energy breaking bonds is endothermic and making bonds is exothermic. ΔH = sum of bonds broken − sum of bonds formed. If more energy is released forming bonds than is absorbed breaking them, the reaction is exothermic.
Practical – temperature changes
Practical – temperature changes for displacement, dissolving, neutralisation and combustion, measure initial and extreme temperatures. Keep volumes and concentrations fixed, stir, use a lid, and repeat for reliable averages. Values are usually lower than data-book values because of heat loss and incomplete combustion.
Energy is conserved
Energy cannot be created or destroyed in a reaction. If a reaction gives out heat to the surroundings, the products must store less energy than the reactants by exactly that amount; in an endothermic reaction the products store more.
Assumptions in solution calorimetry
When calculating Q = mcΔT for a solution we assume it has the same density (1 g/cm3) and specific heat capacity as water, that the cup absorbs no heat, that heat losses are negligible and that the reaction is complete. One reactant is added in excess to ensure this.
Reducing heat loss with fuels
Place the metal can close to the flame, put a lid on it and use a draught shield around the burner. Stir the water and record the highest temperature. Values are still low due to heat loss, heat absorbed by the can and incomplete combustion.
Energy per gram of fuel
Find the mass of fuel burned by weighing the spirit burner before and after. Energy per gram = Q ÷ mass burned. For example, if 0.50 g of fuel releases 10.5 kJ, it releases 21 kJ/g. Divide by moles instead to get kJ/mol.
Temperature change units
A temperature change in °C has the same size as a change in kelvin, so ΔT can be used in either unit in Q = mcΔT. Q comes out in joules; divide by 1000 for kJ.
Finding an unknown bond energy
Rearrange ΔH = bonds broken − bonds made. For H2 + Cl2 → 2HCl with ΔH = −184 kJ/mol, H–H = 436 and H–Cl = 431: 436 + x − 862 = −184, so the Cl–Cl bond energy x = 242 kJ/mol.
Counting bonds
Draw displayed formulae first so every bond is visible, then multiply by the balancing numbers in the equation. For example, 2HCl means two H–Cl bonds are formed.
Neutralisation temperature practical
Add an acid in 5 cm3 portions to a fixed volume of alkali in a polystyrene cup, recording the highest temperature after each addition. Plot temperature against volume: the peak shows the volume that exactly neutralises the alkali.

Section 2 of 16Process & sequence

1
Measure a known volume of acid (e.g. 25 cm3) into a polystyrene cup inside a beaker.
2
Record the starting temperature with a thermometer.
3
Add the second reactant (alkali, metal powder or fuel heat) and stir.
4
Record the highest (or lowest) temperature reached.
5
Calculate ΔT and use Q = mcΔT.
6
Find moles reacted and divide Q (in kJ) by moles to get ΔH, adding the correct sign.

Finding an enthalpy change by calorimetrywrite these steps in this order; each step is a marking point.

1
Measure volume into polystyrene cup
2
Record starting temperature
3
Add reactant and stir
4
Record extreme temperature
5
Calculate Q = mcΔT
6
Divide by moles for ΔH

Section 3 of 16Compare

Exothermic vs endothermic
FeatureExothermicEndothermic
Heat transferGiven out to surroundingsTaken in from surroundings
Temperature of surroundingsRisesFalls
Sign of ΔHNegativePositive
Products vs reactants energyProducts lowerProducts higher
ExamplesCombustion, neutralisation, displacementThermal decomposition, dissolving NH4NO3, photosynthesis
Bonds breaking and forming
ProcessEnergyEffect on ΔH
Breaking bondsAbsorbed (endothermic)Adds positive energy
Making bondsReleased (exothermic)Adds negative energy
OverallΔH = bonds broken − bonds madeNegative if more energy released than absorbed

Section 4 of 16Worked examples

−57.1 kJ/mol
50 cm3 of 1.0 mol/dm3 HCl is mixed with 50 cm3 of 1.0 mol/dm3 NaOH. The temperature rises by 6.8 °C. Calculate ΔH for the neutralisation.
  • Mass of solution = 100 g.
    • Q = 100 × 4.2 × 6.8 = 2856 J = 2.856 kJ.
    • Moles of water formed = 0.050 × 1.0 = 0.050 mol. ΔH = −2.856 ÷ 0.050 = −57.1 kJ/mol .
      • (negative because temperature rose)
−184 kJ/mol
Use bond energies (H–H 436, Cl–Cl 242, H–Cl 431 kJ/mol) to find ΔH for H2 + Cl2 → 2HCl.
  • Bonds broken
    • 436 + 242 = 678 kJ.
    • Bonds made: 2 × 431 = 862 kJ.
    • ΔH = 678 − 862 = −184 kJ/mol, so the reaction is exothermic.

Section 5 of 16Exothermic and endothermic reactions

Energy is conserved in chemical reactions

  • it cannot be created or destroyed, only transferred.
  • If energy is transferred to the surroundings, the products must have less energy than the reactants by the same amount.
  • Temperature changes are measured with a thermometer.

ExothermicEndothermic
Heat energyreleased to the surroundingstaken in from the surroundings
Temperature of surroundingsrisesfalls
Energy content of the chemicalsfallsrises
ΔHnegativepositive
Examplesneutralisation, combustion, some displacement reactionscitric acid with sodium hydrogencarbonate, thermal decomposition

Worked example. A student mixes chemicals and records the temperatures: (1) 10 cm3 NaOH + 10 cm3 HCl, 19 → 26 °C; (2) 2 g citric acid + 10 cm3 NaHCO3, 20 → 16 °C; (3) 0.5 g Mg powder + 10 cm3 CuSO4, 19 → 31 °C; (4) 3 cm Mg ribbon + 10 cm3 H2SO4, 19 → 21 °C. Experiments 1, 3 and 4 are exothermic (temperature increases) and experiment 2 is endothermic (temperature decreases).

Section 6 of 16Calorimetry

Simple calorimetry measures the energy change of a reaction. Two types of experiment are used: reactions in solution, and combustion of fuels.

Reactions in solution (neutralisation, dissolving, displacement):

Calorimetry
Place a fixed volume of one reagent in a polystyrene cup calorimeter with a lid and record its temperature.
Add an excess of the second reagent and stir continuously.
Record the maximum (or minimum) temperature and calculate the change.

Assumptions

  • the solution has the specific heat capacity of water (4.18 J g−1 °C−1) and density 1 g cm−3;
    • the heat capacity of the container is ignored;
    • the reaction is complete;
    • and heat losses are negligible.

Combustion of a fuel

1
Measure a fixed volume of water into a copper can and record its temperature.
2
Weigh the spirit burner containing the fuel.
3
Burn the fuel under the can, stirring the water, until the temperature has risen by about 20 °C, then extinguish the flame.
4
Record the final temperature and re-weigh the burner to find the mass of fuel burned.

Sources of error are heat loss to the surroundings, heat absorbed by the calorimeter, and incomplete combustion. Reduce them by putting the can close above the flame, using a lid and draught shields.

Section 7 of 16Energy calculations

The heat energy change is Q = mcΔT, where m is the mass of the substance being heated (in g), c is the specific heat capacity (4.18 J g−1 °C−1 for water) and ΔT the temperature change (the same in °C and K).

Molar enthalpy change
The molar enthalpy change is ΔH = −Q/n in kJ mol−1; energy released per gram = Q/mass of fuel.
Convert joules to kilojoules by dividing by 1000, and make ΔH negative for exothermic reactions.

Worked example 1. Excess iron powder is added to 100.0 cm3 of 0.200 mol dm−3 copper(II) sulfate and the temperature rises by 7.5 °C.

Energy calculations
Q = 100 × 4.18 × 7.5 = 3135 J = 3.1 kJ released.
Moles of CuSO4 = 0.1000 × 0.200 = 0.0200 mol, so ΔH = −3.135 ÷ 0.0200 = −157 kJ mol−1.

Worked example 2. 1.023 g of propan-1-ol (M = 60.11 g mol−1) heats 200 g of water by 30 °C. Q = 200 × 4.18 × 30 = 25 080 J = 25.1 kJ. Moles = 1.023 ÷ 60.11 = 0.0170 mol, so ΔH = −25.1 ÷ 0.0170 = −1470 kJ mol−1.

Worked example 3. The energy from 0.01 mol of propanol heats 250 g of water from 25 °C to 37 °C. Q = 250 × 4.18 × 12 = 12 540 J. ΔH = −12.54 ÷ 0.01 = −1254 kJ mol−1.

Section 8 of 16Energy level diagrams and bond energies

Energy level diagrams show the energy of reactants and products on the vertical axis, with the progress of the reaction along the horizontal axis. In an exothermic reaction the products are lower than the reactants and an arrow points down (ΔH negative); in an endothermic reaction the products are higher and the arrow points up (ΔH positive).

Bond breaking is endothermic (energy is taken in) and bond making is exothermic (energy is given out). The enthalpy change is ΔH = energy taken in to break bonds − energy given out making bonds. If bond making releases more than bond breaking takes in, the reaction is exothermic (ΔH negative).

Worked example 4. H–H + Cl–Cl → 2 H–Cl, with bond energies H–H 436, Cl–Cl 242, H–Cl 431 kJ mol−1. Energy in = 436 + 242 = 678 kJ. Energy out = 2 × 431 = 862 kJ. ΔH = 678 − 862 = −184 kJ, so the reaction is exothermic.

Worked example 5. 2HBr → H2 + Br2, ΔH = +103 kJ.

Energy level diagrams and bond energies
Bond energies: H–Br 366, H–H 436. Energy in = 2 × 366 = 732. +103 = 732 − (436 + Br–Br), so Br–Br = 732 − 436 − 103 = 193 kJ mol−1.
Write the displayed formulae and count the bonds, including balancing numbers.

Practical: reaction between HCl and NaOH. Place 25 cm3 NaOH in a lidded polystyrene cup, measure its temperature, add 5 cm3 portions of HCl, stir and record the highest temperature each time. Plot temperature against volume of acid; the peak shows the volume needed for neutralisation, where the largest energy is released.

Section 9 of 16Worked examples

  1. Define exothermic and give two examples. [2]2 marks

  2. A student burns a fuel and heats 150 g of water from 20 °C to 45 °C. Calculate the heat energy transferred (c = 4.18 J g−1 °C−1). [2]2 marks

  3. The student burned 0.50 g of ethanol (M = 46 g mol−1) in the experiment above. Calculate the molar enthalpy change. [3]3 marks

  4. Use bond energies C–H 413, O=O 498, C=O 805, O–H 464 kJ mol−1 to calculate the enthalpy change for CH4 + 2O2 → CO2 + 2H2O. [4]4 marks

  5. State two sources of error when measuring the energy from burning a fuel and one improvement. [3]3 marks

Section 10 of 16Aim and apparatus

1
The aim is to investigate how the temperature changes when dilute hydrochloric acid reacts with sodium hydroxide solution. Neutralisation releases thermal energy in this example.
2Polystyrene cup with a lid
Use dilute HCl, dilute NaOH, a measuring cylinder, a thermometer, a stirrer and a polystyrene cup with a lid. The cup and lid reduce heat exchange with the surroundings.

Section 11 of 16Method and variables

125 cm³ NaOH
Measure 25 cm³ NaOH into the cup and record its starting temperature. Add 5 cm³ HCl, stir and record the highest temperature reached.
25 cm³ steps
Repeat with fresh NaOH each time, increasing the acid volume in 5 cm³ steps, for example 5, 10, 15, 20 and 25 cm³. Keep the NaOH volume and both solution concentrations the same.

Section 12 of 16Results and graph

Record acid volume, starting temperature and maximum temperature in a results table. Calculate temperature change = maximum temperature − starting temperature for each run.
Largest temperature rise
Plot temperature change against acid volume and draw a suitable best-fit trend. Identify the volume giving the largest temperature rise; this is where the measured energy release to the solution is greatest under these conditions.

Section 13 of 16Explain and improve

Explain and improve
As more acid is added, more neutralisation can occur until the fixed amount of alkali is used up. Beyond that point, extra acid does not make more alkali react and can dilute the mixture, so the observed temperature rise may fall.
Use the lid, stir consistently, record the peak promptly and repeat measurements to reduce uncertainty. A larger absolute temperature change means more thermal energy was transferred to or from the solution.

Section 14 of 16Key terms

TermMeaning
ExothermicA reaction that releases heat energy to the surroundings.
EndothermicA reaction that takes in heat energy from the surroundings.
CalorimetryMeasuring the heat energy change of a reaction.
Molar enthalpy changeEnergy change per mole of a substance, in kJ mol⁻¹.
Bond energyEnergy needed to break one mole of a particular bond.
Specific heat capacityEnergy needed to raise the temperature of 1 g of a substance by 1 °C.

Section 15 of 16Command terms

Command terms
Give / State / Name
Recall a fact; one idea per mark.
Define
Give the exact meaning using the specification keywords.
Describe
Give an account of what happens / the pattern in data, quoting values; no reasons needed.
Explain
Give reasons with linked statements (cause → effect). Each linked step is usually a separate marking point.
Suggest
Use knowledge in a new context; more than one answer may be accepted.
Compare
Similarities and differences; each point must refer to both items.
Calculate
Show working; include units; check significant figures. Method marks are given even if the final answer is wrong.
Discuss
Explore the issue from different angles and link the points.
Evaluate / Assess
Weigh strengths and weaknesses and reach a supported judgement.
Deduce
Draw a conclusion from the information given.
Justify
Support a statement/choice with evidence.

Section 16 of 16Exam technique

1
Writing ΔH as positive for combustion – combustion is exothermic, so ΔH is negative.
2
Forgetting to convert J to kJ before calculating ΔH in kJ mol⁻¹.
3
Using the mass of the fuel rather than the mass of the water in Q = mcΔT.
4
Saying bond breaking releases energy – it is endothermic.
5
Forgetting the balancing numbers when counting bonds.

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