The rocket works by throwing mass out of the back. The faster the mass is ejected the more thrust is generated.
Inside the combustion chamber the pressure and temperature are very high.
If the gas is allowed to expand it takes up more space and so it must accelerate in order to make sufficient space. As it does this it also cools.
Once it is clear of the rocket it doesn't matter what the temperature or the pressure of the exhaust gas is, it won't help accelerate the rocket.
The nozzle allows the exhaust gas to expand and cool whilst still providing thrust to the rocket.
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By the time the exhaust gas leaves the nozzle its temperature will be far lower than in the combustion chamber and it will be travelling at ‘hypersonic’ speeds up to about 5 km s-1. It might seem like an odd idea but the pressure of the exhaust at this point might well be lower than atmospheric pressure!
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The rocket principal
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