Unit 6 · Topic 6.5 Beta

Fossil Fuels

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Most of the world's electricity still comes from burning fossil fuels. This page follows the energy through a power plant, shows how to calculate its efficiency, and weighs the costs of getting the fuels out of the ground.

Fuel to outlet

A coal-fired power plant drawn as connected boxes. Coal goes into the boiler, which heats water into steam and sends smoke and carbon dioxide up a stack. Steam spins the turbine, whose shaft turns the generator, which sends electricity out. Used steam goes to the condenser, where cooling water from a river or cooling tower turns it back to water, which returns to the boiler; the cooling water leaves warmer as waste heat. A banner says about one third of the fuel's energy leaves as electricity and about two thirds is lost as heat.
Figure 1. Inside a coal-fired power plant. LevlPrep original diagram.
  1. Boiler. Coal, oil or natural gas burns. Its chemical energy heats water in pipes into high-pressure steam.
  2. Turbine. The steam pushes on curved blades and spins them, the way wind spins a pinwheel.
  3. Generator. The turbine's shaft spins magnets past coils of wire, which makes an electric current.
  4. Condenser. Cooling water from a river, lake or cooling tower takes heat from the used steam. The steam condenses back into water and returns to the boiler.
  5. Power lines carry the electricity to homes and businesses.

Many other kinds of plants, including those that burn wood, use the same steam, turbine and generator; only the heat source differs.

Efficiency: why two thirds is lost

Efficiency is useful energy out divided by energy in, times 100. Every step loses some energy as heat (the second law of thermodynamics), and the biggest loss is turning heat into motion: to keep the steam cycle going, the condenser must dump a lot of heat into cooling water. That is why a typical coal plant turns only about a third of its fuel's energy into electricity.

Losses build on each other, so the overall efficiency is the product of the step efficiencies, written as decimals.

Overall efficiency. Boiler 88%, turbine and steam cycle 37%, generator 98%, power lines 94%.

Setup: 0.88×0.37×0.98×0.94×1000.88 \times 0.37 \times 0.98 \times 0.94 \times 100

Answer: about 30.0%30.0\%, close to the average U.S. coal plant (EIA). Averaging the four numbers (79%) is a classic mistake.

Input needed. How much chemical energy must be burned to deliver 500 MWh to homes?

Output = input × efficiency, so input = output ÷ efficiency.

Setup: 500MWh0.2999\frac{500\,\text{MWh}}{0.2999}

Answer: about 1,667MWh1{,}667\,\text{MWh} of coal energy.

Getting fossil fuels out of the ground

Coal is dug from surface mines, which strip off the soil and rock above the seam, or from underground mines. Surface mining destroys habitat over large areas, and water draining through mine waste can become acidic and carry metals.

Oil and natural gas are pumped from wells. Hydraulic fracturing, or fracking, drills down and then sideways into shale, and pumps in water, sand and chemicals under high pressure. The rock cracks, the sand holds the cracks open, and trapped gas or oil flows to the well. Fracking greatly increased natural gas supplies, but it can contaminate groundwater through faulty wells or spills, release volatile chemicals and methane into the air, use millions of gallons of water per well, and the wastewater pumped back underground has triggered small earthquakes.

Tar sands must be mined or melted out with steam, which uses large amounts of energy and water and leaves ponds of polluted waste.

Weighing fossil fuels

AdvantagesDisadvantages
high energy per kilogram; easy to store and transportrelease carbon dioxide, which drives climate change
can run day and night, whatever the weatherrelease other air pollutants when burned
existing plants, pipelines and engines already use themmining and drilling damage land and water; spills
relatively cheap in many placesfixed supply that will run down

Warm water released by a power plant harms rivers through heat, not chemicals: the cooling water never touches the fuel. Say "warmer water holds less dissolved oxygen."

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