Lesson 3 of 13
Why you always lose some
Explain the second law in plain terms — every conversion spills some energy as low-grade waste heat that can't be fully recovered — and use that to read an efficiency figure (a power plant at 40%, a petrol engine at 25%).
01 · Learn · the idea
Rub your hands together hard. They warm up. You just turned motion into heat — and here’s the catch you can never escape: you cannot rub your warm hands together and get the motion back. The energy went one way and won’t return the same. That one-way street is the second great rule of energy, and it quietly shapes everything from your fuel bill to whether a power plant is any good.
Conservation isn’t the whole story
The first lesson said energy is never lost. That’s true: the total is always conserved, every joule accounted for. But conservation isn’t the whole story, and on its own it can mislead.
Here’s the second rule. Every time energy changes form, some of it turns into low-grade heat that spreads out and can’t be gathered back to do useful work. The energy still exists — conservation holds — but it’s been downgraded into a form you can no longer use. Physicists call this the second law of thermodynamics. The plain version: you can’t break even.
Useful energy and waste heat
Sort energy into two buckets. In one, useful energy: concentrated, directable — electricity, the spin of a wheel, the chemical energy in fuel. In the other, waste heat: spread-out warmth at low temperature — the heat off an engine, a warm phone charger, the warmth of your own body.
Every conversion moves some energy from the first bucket to the second. And the move only ever goes one way. Heat flows from hot things to cold things and spreads out; it never gathers itself back, on its own, into something concentrated and useful. That asymmetry is the whole of the second law. Energy isn’t destroyed — it’s demoted.
A worked example: efficiency is the score
We measure the demotion with efficiency: the useful energy you get out, divided by the total energy you put in.
- A petrol car engine is about 25% efficient. Put in 100 units of chemical energy as petrol; about 25 turn the wheels and 75 leave as heat through the radiator and exhaust. For every £4 of fuel, roughly £3 just warms the air.
- A coal or gas power plant runs around 40% efficient (the best modern gas plants reach about 60%). A hundred units of fuel become about 40 units of electricity; the other 60 drift off as heat through the cooling towers.
- An old incandescent bulb was about 5% efficient — 95% of the electricity became heat, not light. A modern LED is around 40%.
- An electric motor is about 90% efficient. Few conversions, little waste.
The efficiency figure tells you how much of what you paid for actually did the job. The rest is the tax the second law charges on every single conversion.
You can’t just engineer it away
Some of that loss is not a flaw to be fixed — it’s a ceiling no cleverness can pass. Any machine that runs on heat has a hard maximum efficiency set by physics; you can creep toward it with better engineering, but you can never reach 100%. This is why a “100% efficient” engine and a “free energy” machine aren’t merely hard to build — they’re impossible, ruled out by the same law.
And it’s why every extra step in a chain costs you, because each link takes its own cut. Send energy coal → heat → electricity → battery → motion, and you’ve paid the tax at four separate gates. The losses don’t add; they multiply. A chain of four steps each 80% efficient delivers not 80% but 0.8 × 0.8 × 0.8 × 0.8 — about 41%. Long chains bleed.
Why it matters for climate and energy
This is why how you use energy matters as much as how much. An electric car is cleaner partly because its motor is around 90% efficient against a petrol engine’s 25% — before you even ask where the electricity came from. A heat pump, which moves warmth rather than making it, can deliver three units of heat to a home for one unit of electricity, beating any simple heater. The entire efficiency game is squeezing more useful work out of each unit before the tax collects.
Conserved, but not preserved
So energy is conserved but not preserved. The total never changes, yet its quality only ever falls. Every use spreads a little more of the world’s concentrated energy into uncatchable warmth, and that direction never reverses. The universe is slowly, surely cooling its differences into sameness, and every kettle, engine, and living body is a small part of that one-way flow.
You are a converter too. The food you ate this morning is already halfway to the waste heat rising off your skin. There’s no cheating the tax and no running the river backward. So “don’t waste energy” isn’t really a piece of moral advice — it’s just noticing the current you’re standing in, the one that only flows one way, and choosing, where you can, to get a little more out of it before it slips past for good.
02 · Try · the lab
03 · Check · quick quiz
1. You rub your hands and they warm up; the motion became heat. Why can't you rub your warm hands and get the motion back?
- Because the energy was destroyed when it became heat
- Because conversions to spread-out, low-grade heat only run one way — heat won't gather itself back into useful motion
- Because friction creates new energy that didn't exist before
- Because hands aren't efficient enough — a machine could do it
Answer
Because conversions to spread-out, low-grade heat only run one way — heat won't gather itself back into useful motion — The energy isn't gone (conservation still holds) — it's been downgraded to spread-out heat. The second law says that move only runs one way: heat won't spontaneously concentrate itself back into useful work. No machine can reverse it.
2. A petrol engine is about 25% efficient. What does that mean for 100 units of energy in the fuel?
- 25 units are destroyed and 75 move the car
- About 25 units move the car; about 75 leave as waste heat
- 75 units move the car and 25 are stored for later
- All 100 units move the car, just slowly
Answer
About 25 units move the car; about 75 leave as waste heat — Efficiency is useful-out over total-in. At 25%, only about a quarter of the fuel's energy turns the wheels; the other three-quarters leaves as heat through the radiator and exhaust. None is destroyed — most is just demoted to waste heat.
3. Energy passes through a chain of four steps, each 80% efficient. Roughly how much of the starting energy survives to the end?
- 80% — the steps are all the same
- About 41% — the efficiencies multiply
- 20% — you subtract 20% once
- 0% — every step loses everything
Answer
About 41% — the efficiencies multiply — Losses multiply, they don't just add: 0.8 × 0.8 × 0.8 × 0.8 ≈ 0.41. Each link takes its own cut of what's left, so long chains bleed energy fast. This is why fewer conversion steps usually win.
4. Someone advertises a machine that is '100% efficient' or 'puts out more energy than it takes in'. What's the right reaction?
- Plausible if the engineering is good enough
- Impossible — the second law forbids it; any real heat-using process must shed some energy as waste heat
- It only breaks the conservation rule, which is fine
- True, because energy can be created in special machines
Answer
Impossible — the second law forbids it; any real heat-using process must shed some energy as waste heat — More-out-than-in breaks conservation (lesson 1); even exactly 100% breaks the second law, which guarantees some energy always demotes to waste heat. Both are ruled out by physics, not just hard to build.