Reusing lost energy from Compressed air

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Why is Heat not normally trapped when compressing Air, and reused again in the expansion process of the same air?
 
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Welcome to PF!

It would be hard to reuse it in the expansion in most cases I can think of -- you'd need an extra set of pipes going to each usage point in order to carry the heat. That would be cumbersome for the amount of heat that can be recovered.

If you're lucky, you may be able to find other uses for that heat, such as heating water.
 
Ok Russ, thanks for that...just tell me, if Heat was used for expansion, how might it be configured to offer the best outcomes?