Adiabatic expansion in cilinder

[Roberttt]

Hi,

I am working on an adiabatic expansion problem. The problem is that air got compressed and after it is compressed it expands and cools to a certain temperature what causes icing on instruments in the process. I tried to calculate it with the following formula:

p₁^1-gamma * T₁^gamma = p₂^1-gamma * T₂^gamma

p₁ is 10 bar, T₁ is 293K, p₂ is 1 bar, T₂ must be calculated and gamma is 1.4.

If I fill in the data in the formula, the T₂ temperature is around -243 C, what is a bit cold and unreal in my eyes.

Anyone who can help me out?


Robert

 

[PaoloPemi]

given initial conditions (compressed state) final condizions should depend from expansion process,
you may find here many threads discussing PSV applications, see for example this thread which includes several contributes,

https://www.eng-tips.com/viewthread.cfm?qid=329093