F. Electricity and Magnetism · Electricity and MagnetismProducing Electrical Energy: Efficiency and Environmental Impact
F1.2 F2.1 F3.6 A1.9About 75 minutes
Learning goals- I can calculate the efficiency of a generating station and find its energy losses.
- I can analyse the efficiency and environmental impact of one type of electrical energy production, such as coal.
- I can compare the benefits and drawbacks of Ontario's main electricity sources.
- I can propose ways to make electrical energy production more sustainable.
Words to know
efficiency
Useful energy (or power) output ÷ total energy (or power) input × 100%.
thermal generating station
A station that boils water into steam with heat from burning fuel or from a nuclear reactor; the steam spins a turbine and generator.
waste heat
Thermal energy released to the surroundings (cooling water or air) that does not become electrical energy.
cogeneration (combined heat and power)
Using the waste heat from generating electricity to heat buildings or for industry, which raises the overall efficiency.
greenhouse gas
A gas such as carbon dioxide (CO₂) or methane that traps heat in the atmosphere.
sustainability
Meeting today's needs without harming the ability of future generations to meet theirs.
Where does your electricity come from?
When you charge your phone in Ontario, the energy most likely came from a nuclear station such as Bruce, Darlington or Pickering, or from a hydroelectric station on a river like the Niagara or the Ottawa, with some from natural gas, wind, solar and bioenergy. Not long ago, Ontario also burned a lot of coal. Every source has a different efficiency and a different environmental footprint. In this unit you have learned how generators and transformers work; now you will judge the systems they are part of.
Efficiency of a generating station
Efficiency = (useful electrical energy out ÷ total energy in) × 100%, and the same with power.
In any thermal station (coal, natural gas, oil, biomass or nuclear), heat boils water, the steam spins a turbine, and the steam must then be cooled and condensed back to water before it returns to the boiler. That cooling step dumps a large amount of waste heat into a lake, river or the air. It is a basic limit of heat engines, not just poor engineering. Rough typical efficiencies:
- coal: about 33% to 40%
- nuclear: about 33%
- natural gas, combined-cycle (a gas turbine plus a steam turbine using its hot exhaust): about 50% to 60%
- hydroelectric: about 85% to 90% of the water's gravitational potential energy becomes electrical energy
- wind turbines: a large share of the wind's energy passes through unused; physics limits any turbine to at most 59%, and real turbines capture less
- solar photovoltaic panels: about 15% to 22% of the sunlight
Low efficiency is not the whole story. Wind and sunlight are free and do not run out, so the environmental impact also matters.
A rounded energy-flow picture for a fossil-fuel station. Only about a third of the fuel's chemical energy leaves as electricity; most becomes waste heat in the cooling water.Worked exampleExample 1: Efficiency of a coal station
A coal-fired station burns fuel that releases 2800 MW of chemical energy and produces 1000 MW of electrical power. (a) Find its efficiency. (b) How much power is wasted? (c) If coal releases about 25 MJ per kilogram, how many kilograms of coal does it burn each second and each day?
- (a) Efficiency = 1000 ÷ 2800 × 100% ≈ 36%.
- (b) Wasted: 2800 − 1000 = 1800 MW, mostly as heat to cooling water.
- (c) 2800 MW = 2.8 × 10⁹ J/s. Mass per second = 2.8 × 10⁹ ÷ 2.5 × 10⁷ J/kg = 112 kg/s.
- Per day: 112 kg/s × 86 400 s ≈ 9.7 × 10⁶ kg, or about 9700 tonnes of coal a day.
36%; 1800 MW wasted; about 112 kg/s, or nearly 10 000 t per day.
Worked exampleExample 2: Efficiency of a hydroelectric station
At a hydroelectric station, 200 m³ of water (200 000 kg) falls through 50 m every second. The station's output is 88 MW. Find its efficiency. Use g = 9.8 N/kg.
- Gravitational potential energy released each second: E = mgh = (200 000 kg)(9.8 N/kg)(50 m) = 9.8 × 10⁷ J, so the input power is 98 MW.
- Efficiency = 88 ÷ 98 × 100% ≈ 90%.
- Hydro is efficient because it changes gravitational energy to kinetic energy to electrical energy directly, with no heat-engine step.
Analysing one source in depth: coal
How it works: coal is burned in a boiler; the steam drives a turbine and generator; the steam is condensed with cooling water.
Efficiency: only about a third of the coal's energy becomes electricity.
Environmental impact:
- Carbon dioxide: coal releases more CO₂ per kilowatt-hour than any other common source, contributing to climate change.
- Air pollutants: sulfur dioxide and nitrogen oxides (acid precipitation and smog), fine particles (lung and heart disease) and mercury (which builds up in fish).
- Mining and waste: land disturbance from mining, and large amounts of ash to store.
- Thermal pollution: warm cooling water returned to lakes and rivers.
Ontario's decision: Ontario phased out coal-fired electricity generation; its last coal-fired station stopped burning coal in 2014. Most of the replaced energy came from refurbished nuclear capacity, natural gas and new wind and solar, together with conservation. Ontario's electricity is now one of the lower-carbon supplies in North America, although natural gas use (and its emissions) has varied from year to year.
Ontario's electricity mix in recent years, approximately. Nuclear and hydro together supply roughly 70%; the shares shift from year to year.Comparing sources
- Nuclear: very low greenhouse-gas emissions during operation and a steady supply, but long-lived radioactive waste that must be stored safely, high construction and refurbishment costs, and uranium mining impacts.
- Hydroelectric: very efficient, renewable and flexible, but dams flood land and change rivers, fish habitat and the traditional lands of First Nations communities. Newer projects in Ontario include partnerships in which First Nations co-own the station, such as the Peter Sutherland Sr. Generating Station, built by Ontario Power Generation with Taykwa Tagamou Nation.
- Natural gas: more efficient and cleaner than coal and can be switched on quickly when demand rises, but it still emits CO₂ and methane can leak during extraction and transport.
- Wind and solar: no fuel and no emissions while operating, but they produce power only when the wind blows or the sun shines, so they need backup or storage, and they use land and materials.
Ways to make production more sustainable
- Conservation and efficiency at home: the cheapest, cleanest kilowatt-hour is the one not used.
- Cogeneration: use a thermal station's waste heat for district heating or industry.
- Storage (batteries, pumped hydro) to make wind and solar more useful.
- Choosing low-emission sources, and capturing emissions where fossil fuels are still used.
- Better transmission (high voltage, as you saw) to reduce losses.
- Planning with the communities affected, including First Nations, Métis and Inuit communities, through meaningful consultation and partnerships.
Just for funNiagara Falls is partly "turned down" at night. Under a treaty between Canada and the United States, more of the Niagara River is diverted to hydroelectric stations at night and outside the tourist season, so less water goes over the Falls when fewer people are watching.
Hands-on activityTrace your own electricity
You need: a recent electricity bill (or a typical value: an Ontario home might use roughly 700 to 1000 kW·h per month), a calculator, and internet access for the IESO website (optional).
- Find your household's electricity use for one month in kW·h.
- Convert it to joules: 1 kW·h = 3.6 × 10⁶ J.
- If all of it came from a 35%-efficient coal station, how much chemical energy would have to be burned? (Divide by 0.35.) Using 25 MJ/kg, how many kilograms of coal is that?
- If it all came from a 90%-efficient hydro station, how much gravitational energy would be needed? How many kilograms of water falling 50 m would that be? (m = E ÷ gh.)
- Write a short paragraph: which source would you prefer to supply your home, and why? Include efficiency and environmental impact.
What to look for: for 800 kW·h: 2.88 × 10⁹ J of electricity; coal input 2.88 × 10⁹ ÷ 0.35 ≈ 8.2 × 10⁹ J, which is about 330 kg of coal a month; hydro input 2.88 × 10⁹ ÷ 0.90 = 3.2 × 10⁹ J, which is about 6.5 × 10⁶ kg of water (about 6500 m³) falling 50 m. The paragraph should weigh efficiency, emissions, other environmental effects and reliability.
Your turn
1A natural-gas station takes in 1500 MW of chemical energy and produces 825 MW of electricity. Find its efficiency.
2Why is a thermal generating station limited to a fairly low efficiency?
After spinning the turbine, the steam must be cooled and condensed, which releases a large amount of waste heat to the surroundings. That is a basic limit of turning heat into work.
3Name three environmental impacts of burning coal to generate electricity.
Any three: CO₂ (climate change), sulfur dioxide and nitrogen oxides (acid precipitation, smog), fine particles (health), mercury, mining damage, ash waste, warm cooling water.
4A hydro station's water supplies 50 MW of gravitational power and the station outputs 44 MW. Find its efficiency and the power lost.
44 ÷ 50 × 100% = 88%. Lost: 6.0 MW.
5Give one benefit and one drawback of nuclear generation.
Benefit (any): very low greenhouse-gas emissions while operating; steady, reliable supply. Drawback (any): radioactive waste needing long-term storage; high construction and refurbishment costs; mining impacts.
6Suggest two ways to make Ontario's electricity production more sustainable.
Any two: conservation and efficiency; more wind and solar with storage; cogeneration; replacing gas with low-emission sources; better transmission; partnerships with affected communities.
More practice: warm-up
1Write the formula for efficiency.
Efficiency = useful energy out ÷ total energy in × 100%.
2Which Ontario source supplies the largest share of electricity?
3In what year did Ontario's last coal-fired station stop burning coal?
Using a station's waste heat for heating buildings or industry, as well as generating electricity.
5Why do wind and solar need storage or backup?
They produce power only when the wind blows or the sun shines, which may not match when people need electricity.
More practice: on your own
1A 600 MW (electrical) coal station is 35% efficient. Find the chemical power input and the waste heat.
Input = 600 ÷ 0.35 ≈ 1.7 × 10³ MW (1714 MW). Waste = 1714 − 600 ≈ 1.1 × 10³ MW.
2A station's efficiency is raised from 33% to 50% by switching from a simple steam plant to a combined-cycle gas plant. For 100 MW of electrical output, by how much does the fuel input drop?
At 33%: 100 ÷ 0.33 ≈ 303 MW. At 50%: 100 ÷ 0.50 = 200 MW. Drop ≈ 103 MW, about a third less fuel.
3Water falls 30 m through a turbine at 100 000 kg per second. The station is 90% efficient. Find its electrical output.
Input power = mgh per second = (100 000)(9.8)(30) = 2.94 × 10⁷ W = 29.4 MW. Output = 0.90 × 29.4 ≈ 26 MW.
4Explain why a hydroelectric dam can have serious environmental and social impacts even though it emits almost no CO₂ while operating.
The reservoir floods land, including forests, wildlife habitat and the traditional lands of First Nations communities; the dam changes river flow, temperature and fish migration; flooded vegetation can release greenhouse gases and mercury into the water, which can build up in fish that communities rely on.
5Why might an Ontario electricity planner keep some natural-gas stations even though they emit CO₂?
Gas stations can be started and adjusted quickly to meet peaks in demand and to back up wind and solar, and to cover times when nuclear units are shut down for refurbishment. They help keep the grid reliable.
Challenge
1A 1000 MW coal station operates at 36% efficiency for a full year. Using 25 MJ/kg for coal and about 2.4 kg of CO₂ released per kilogram of coal burned (a rough value), estimate the coal burned and CO₂ released in a year.
Input = 1000 ÷ 0.36 ≈ 2.78 × 10⁹ W. In one year (3.15 × 10⁷ s): E ≈ 8.8 × 10¹⁶ J. Coal = 8.8 × 10¹⁶ ÷ 2.5 × 10⁷ ≈ 3.5 × 10⁹ kg (3.5 million tonnes). CO₂ ≈ 2.4 × 3.5 × 10⁹ ≈ 8.4 × 10⁹ kg (about 8 million tonnes).
2A thermal station is 35% efficient. A cogeneration system uses half of its waste heat to heat nearby buildings. What is the overall efficiency now?
Out of 100 units of fuel energy: 35 become electricity and 65 are waste heat. Half of that, 32.5, is now used. Useful total = 35 + 32.5 = 67.5, so the overall efficiency is 67.5% (about 68%).
3Write a short recommendation (4 to 6 sentences) on how one Ontario community could make its electricity supply more sustainable. Support it with efficiency or environmental reasoning.
Model answer: A town near a large river and a hospital or factory could combine three measures. First, invest in conservation, such as LED lighting and heat pumps, because unused energy has no emissions or losses. Second, partner with the local First Nation on a small run-of-river hydro project, which is about 90% efficient and floods much less land than a large reservoir. Third, build a cogeneration plant at the hospital so waste heat from generating electricity heats the building, raising overall efficiency well above that of a power-only station. Finally, add battery storage so that rooftop solar can supply evening demand. Look for: specific measures, efficiency or emission reasoning, and attention to the community.
Check your understandingQuiz
1. A station takes in 900 MW and produces 300 MW of electricity. What is its efficiency?
2. Why do coal and nuclear stations have similar, fairly low efficiencies?
3. Which source typically has the highest efficiency?
4. Which is NOT an environmental impact of coal-fired generation?
6. Water delivers 20 MW of gravitational power to a station that outputs 18 MW. What is the efficiency?
For parents and teachersBig idea: Expectation F1.2 asks students to analyse the efficiency and environmental impact of one type of electrical energy production (coal is the ministry's sample) and to propose ways to make production more sustainable. Efficiency calculations connect to the generators studied earlier in the unit.
How to help: Look at a real electricity bill together and do the activity: it turns abstract kilowatt-hours into kilograms of coal or tonnes of falling water. The IESO website shows Ontario's generation mix hour by hour, which makes a good conversation starter.
Common difficulties:
- Dividing the wrong way: efficiency is output ÷ input, so it is never more than 100%.
- Forgetting to convert units (MW, MJ, kW·h) before calculating.
- Thinking low efficiency always means "bad": the cost and impact of the energy input matter too (sunlight and wind are free and emission-free).
- Writing one-sided analyses. Every source has benefits and drawbacks; encourage balanced reasoning.