A can of petrol and the air above it will sit in a garage for a decade without anything happening. Touch a spark to the vapour and the same two substances release, in a fraction of a second, thousands of times more energy than the spark ever put in. Nothing was added except a moment of heat, and nothing was taken away. Both of those facts, the waiting and the violence, come out of one picture and one subtraction, and this is the lesson where you learn to draw the picture and do the sum.
The picture is the energy level diagram: a hill a reaction has to climb before it can start, and the drop it makes on the far side. The subtraction is the bond ledger, where every bond that comes apart is an outgoing and every bond that forms is an incoming, and what is left over is the energy change you would have measured with a thermometer. By the end you will be able to predict whether a reaction warms its surroundings or cools them before anybody mixes anything at all, and to say exactly what a catalyst changes on that picture and what it leaves untouched.
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