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Basically I wanted to crunch the numbers on a sterling engine that used hydrogen as the working fluid and is heated from the waste heat of another process. I tried just using the Q=ncp(Th-Tc) but with I get huge numbers for the new temp and so I don’t think I am doing this right

If we take q=48700 J Tc=293K n=1 mole cp=28.834 J mol-1 K-1

Th=1981.98 K which seems to be a huge number

So I am looking for some help in how to model this to be somewhat realistic. I know the velocity of the hydrogen as it passes the heat source is important but I don’t know that and I think it would change with time and temp. If anyone can give me a direction into where I need to look to model this that would be awesome.

This is not homework it just spare time ideas