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Exergy

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Hi all, this is how my lecturer derive exergy:

 

1st law efficiency=W/Q

 

Carnot efficiency=(T1-T2)/T1

 

W/Q=(T1-T2)/T1

 

W=(Q*(T1-T2))/T1

 

The W above refers to useful work.

 

My question is, when we formulate the 1st law efficiency, do we have in mind that it is a reversible device (that we can equalize it with the Carnot efficiency)?

 

There is some argument/proof that the Carnot efficiency is the best you can get. So I believe what the engineers have in mind is an effective device, not necessarily a reversible one.

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