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Lesson 3 of 5Energy Changes and Rates of Reaction
Unit 3 · Lesson 3 of 5

Physical, Chemical and Nuclear Energy: Fuels Compared

Comparing the energy of phase changes, combustion, fission and fusion per mole and per gram; where nuclear energy comes from (E = mc²); how Ontario's CANDU reactors at Pickering, Bruce and Darlington work; and how to compare fuels by heat of combustion, CO₂ released per kilojoule and power-plant efficiency.

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Key things to remember

  1. 1Energy scale: phase changes (tens of kJ/mol) < combustion (hundreds to thousands of kJ/mol) < fission and fusion (about to kJ/mol).
  2. 2Nuclear energy comes from the mass defect: ; 1 MeV J; fission of uranium-235 releases about 200 MeV per nucleus.
  3. 3CANDU reactors use natural uranium with a heavy-water () moderator and coolant and can be refuelled while running (Pickering, Bruce, Darlington).
  4. 4Energy per gram ; CO₂ per kJ
  5. 5Efficiency thermal plants reach about 30–40%, combined-cycle gas plants about 55–60%.
  6. 6Fuels with more H per C give more energy per gram and less CO₂ per kJ: hydrogen > methane > octane > coal.

Ontario switches on lights, furnaces and electric cars using three very different kinds of energy change. Natural gas releases chemical energy when its bonds rearrange during combustion. Hydroelectric dams use falling water, and steam turbines everywhere rely on the physical change of boiling water. About half of the province's electricity comes from a third kind: the splitting of uranium nuclei. Choosing among them means comparing numbers: how much energy each source releases per gram, how much carbon dioxide comes with each kilojoule, and how much of the released energy actually reaches the grid. This lesson puts physical, chemical and nuclear changes on one scale and uses your enthalpy skills to compare fuels.

Three scales of energy change

ChangeExampleEnergy per moleEnergy per gram
PhysicalBoiling water, 40.7 kJ/mol absorbed2.26 kJ/g
ChemicalBurning methane, 890.3 kJ/mol released55.5 kJ/g
Nuclear fissionUranium-235 split by a neutron (about 200 MeV per nucleus)about kJ/molabout kJ/g
Nuclear fusionDeuterium + tritium → helium-4 + neutron (17.6 MeV)about kJ/molabout kJ/g of fuel
Phase changes only overcome intermolecular forces, combustion rearranges chemical bonds, and nuclear reactions change the nuclei themselves. Per gram, fission releases over a million times more energy than burning methane.
ExothermicEnthalpy, HCH₄ + 2O₂reactantsCO₂ + 2H₂O(l)productsΔH = −890 kJΔH < 0Heat released to surroundingsEndothermicEnthalpy, HN₂ + O₂reactants2NOproductsΔH = +181 kJΔH > 0Heat absorbed from surroundings
Fig 1An enthalpy diagram for an exothermic reaction: the products sit lower than the reactants, and the difference is the energy released as heat.

Where nuclear energy comes from: E = mc²

Fission — splitting a heavy nucleusnU-2352–3 nFreed neutrons split more nuclei — a chain reaction.Every power reactor on Earth works this way.Fusion — joining light nucleiHHHeNeeds enormous temperature and pressure.Powers every star. No net-energy plant yet.Both release energy, roughly a million times more per kilogram than burning coal.
Fig 2Fission splits a heavy nucleus into two medium nuclei plus neutrons; fusion joins light nuclei. Both release energy because the products are more tightly bound.

Protons and neutrons in a nucleus are held together by the strong nuclear force, and the energy needed to pull a nucleus apart is its binding energy. A nucleus has slightly less mass than its separate protons and neutrons; this mass defect is the binding energy, related by Einstein's . Medium nuclei near iron-56 are the most tightly bound per nucleon, so energy is released by splitting a heavy nucleus (fission) or joining light ones (fusion). When uranium-235 absorbs a slow neutron it splits, for example into barium-141, krypton-92 and three neutrons. The products have about 0.2 u less mass than the reactants, and that missing mass appears as about 200 MeV of kinetic energy. The released neutrons can split more nuclei, making a chain reaction. Fusion powers the Sun, but on Earth the nuclei must be held at over 100 million degrees, so no fusion power plant yet produces net electricity. In a chemical reaction mass also changes by , but the change is so tiny (far less than a billionth of the mass) that it cannot be measured, which is why the law of conservation of mass works in chemistry.

Mass in kilograms gives energy in joules. A mass of 1 g corresponds to 9 × 10¹³ J.

CANDU reactors in Ontario

Ontario's reactors are CANDU (CANada Deuterium Uranium) designs, developed in Canada. Most reactors elsewhere need uranium enriched in uranium-235, but CANDU burns natural uranium (only about 0.7% uranium-235), pressed into ceramic pellets and sealed in zirconium alloy tubes bundled into fuel bundles about 50 cm long. Fission neutrons are too fast to split more uranium-235 efficiently, so they are slowed by a moderator of heavy water, , in which hydrogen is the isotope deuterium. Heavy water absorbs far fewer neutrons than ordinary water, which is what lets natural uranium sustain a chain reaction. Pressurized heavy water also carries heat from the fuel channels to steam generators, where ordinary water boils and drives turbines. The horizontal fuel channels allow refuelling while the reactor runs. Ontario's three stations are Pickering (east of Toronto, operating since 1971), Bruce (on Lake Huron near Kincardine, among the largest nuclear stations in the world) and Darlington (in Clarington). Nuclear power helped Ontario close its last coal-fired plant in 2014. The trade-offs are high construction and refurbishment costs and used fuel that stays dangerously radioactive for thousands of years. Used fuel is stored on site, and in 2024 the Nuclear Waste Management Organization chose an area near Ignace in northwestern Ontario for a deep geological repository.

Ontario's electricity — majority nuclear, no coal since 2014.55%24%9%8%Nuclear55%Hydroelectric24%Wind9%Natural gas8%Solar & biomass4%Coal was phased out in 2014 — at the timethe largest single greenhouse-gas reductionmeasure in North America.Percentages vary year to year with demand,water levels and reactor refurbishment.
Fig 3Ontario's electricity supply by source: nuclear provides the largest share, followed by hydroelectric, natural gas, wind and solar.

Comparing fuels: energy, CO₂ and efficiency

FuelHeat of combustion (kJ/mol)Energy per gram (kJ/g)CO₂ per kJ (g/kJ)
Hydrogen, 285.8141.80 (but making from natural gas releases )
Methane (natural gas), 890.355.50.0494
Octane (gasoline), 547047.90.0644
Ethanol, 136729.70.0644 (partly offset when crops regrow)
Carbon (coal, approximated as graphite)393.532.80.1118
Heats of combustion are for products CO₂(g) and H₂O(l). More H per C means more energy per gram and less CO₂ per kilojoule, which is why natural gas emits less CO₂ than coal for the same heat.

To find CO₂ per kilojoule, divide the mass of produced per mole of fuel by the heat released per mole. Methane makes 1 mol (44.01 g) of for 890.3 kJ, so g/kJ; carbon makes the same 44.01 g for only 393.5 kJ, more than twice as much per kilojoule. Released heat is not the end of the story, though. A thermal power plant, whether it burns gas or splits uranium, turns heat into electricity with a heat engine, and the second law of thermodynamics forces much of the heat to be rejected to a lake or the air. Efficiency is the useful energy out divided by the energy in. Coal and nuclear steam plants run at about 30 to 40%; a combined-cycle gas plant, which reuses its hot exhaust to raise steam, reaches about 55 to 60%.

A petrol engine: 100 J in, 25 J useful out.100 Jchemical in25 J useful — moves the car75 J waste heatexhaust, coolant, frictionefficiency = 25/100 × 100% = 25%. The arrow widths are the energies.Nothing is destroyed — 75 J simply left as heat nobody can use.
Fig 4A Sankey diagram: arrow widths show energy in, useful electrical energy out and the large share lost as heat in a thermal power plant.
Efficiency and emissions
Efficiency (%) = useful energy out ÷ total energy in × 100%. To compare power sources fairly, combine the fuel's CO₂ per kilojoule of heat with the plant's efficiency: CO₂ per kilojoule of electricity = (CO₂ per kJ of heat) ÷ efficiency. Nuclear, hydro, wind and solar emit almost no CO₂ while running, so their comparison turns instead on cost, reliability, land use and waste.

Worked examples

Reveal one step at a time and try to beat it to the next line.

Example 1
Compare the energy released per gram by burning methane ( kJ/mol, g/mol) with the fission of uranium-235 (200 MeV per nucleus, g/mol).
Example 2
When 1.00 g of uranium-235 undergoes fission, about 0.0914% of its mass is converted into energy. How much energy is released? Check that this agrees with the previous example.
Example 3
Burning 2.00 g of ethanol under a can containing 400.0 g of water raises the water's temperature from 20.0 °C to 41.5 °C. Calculate the experimental molar enthalpy of combustion and compare it with the accepted value of −1367 kJ/mol.
Example 4
A CANDU unit produces 2700 MW of heat and 880 MW of electricity. (a) What is its efficiency? (b) A combined-cycle natural gas plant at 55% efficiency must produce the same 880 MW of electricity. How much does it emit per second ( of methane kJ/mol)?

Where marks get lost

  • Comparing fuels only per mole. Octane releases more energy per mole than methane, but per gram (what you carry or pay for) methane releases more.
  • Thinking nuclear energy breaks the law of conservation of energy. Mass and energy are interchangeable through ; the energy released equals the mass defect times .
  • Using grams instead of kilograms in . With in m/s, mass must be in kg to give joules.
  • Saying a CANDU reactor uses heavy water as fuel. The fuel is natural uranium; heavy water is the moderator that slows neutrons and the coolant that carries heat.
  • Treating a fuel's heat of combustion as the electricity it produces. A thermal plant converts only about a third to a half of the heat into electricity.

Flashcards 9

Mass defect
Energy per fission of uranium-235
Moderator
+ 5 more

Practice

1
Octane has kJ/mol and a molar mass of 114.22 g/mol. How much energy does burning 1.00 g of octane release, in kJ? (1 decimal place)
kJ
2
Burning 1 mol of propane, , releases 2220 kJ and produces 3 mol of (44.01 g/mol). How many grams of are released per kJ? (4 decimal places)
g/kJ
3
How much energy, in joules, is released when kg of mass is converted to energy? Use m/s and give the answer in units of J. (1 decimal place)
× 10¹¹ J
4
A coal-fired plant burns fuel releasing 3000 MJ of heat each second and delivers 1050 MJ of electrical energy each second. What is its efficiency? (whole number, %)
%
5
Why does a nuclear reaction release so much more energy per gram than a chemical reaction?
6
What is the role of heavy water in a CANDU reactor?
7
Per kilojoule of heat, which fuel produces the most CO₂?
8
Order these changes from the smallest to the largest energy released or absorbed per gram.
  1. 1Fusion of deuterium and tritium
  2. 2Fission of uranium-235
  3. 3Burning methane
  4. 4Melting ice
  5. 5Boiling water
9
Match each Ontario energy term to its description.
Bruce
Pickering
Darlington
Moderator
Combined-cycle plant
10
What name is given to the difference in mass between a nucleus and the separate protons and neutrons that make it up? (two words)
11
What isotope of hydrogen is in the heavy water used in CANDU reactors?

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