Thermodynamics help with entropy

AI Thread Summary
An adiabatic liquid-vapor separator cannot separate wet steam at 100 psia and 90% quality into saturated liquid and vapor streams at pressures greater than 100 psia due to the increase in entropy principle. The discussion highlights the challenge of using a T-s diagram for this proof and the confusion regarding movement in the p-V diagram under the constraints of saturated states. The Clapeyron equation is mentioned as a sophisticated tool for understanding phase changes. Ultimately, the original poster found the solution to be simpler than anticipated. The conversation emphasizes the importance of thermodynamic principles in analyzing phase separation processes.
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Homework Statement



Is it possible for an adiabatic liquid-vapor separator to separate wet steam at 100 psia, 90 % quality into a saturated liquid stream and a saturated vapor stream both at a pressure greater than 100 psia?

Ans: (no according to the increase in entropy principle)

I need to prove this

The Attempt at a Solution



I tried proving by using a t s diagram, but I could make any sense of it
 
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OK, what does it take to move up in the +p-direction on a p-V diagram when all you can have is saturated water, saturated vapor, and a combination of the two?

If you want to be really sophisticated :smile: - what does the Clapeyron equation tell you?
 
I figured it out,it was actually very simple, Thanks for the help
 

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