Thermodynamics An adiabatic piston cylinder contains 0.20 lbm of saturated liquid water at 80 psia and 0.80 lbm of steam

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Thermodynamics
An adiabatic piston cylinder contains 0.20 lbm of saturatedliquid water at 80 psia and 0.80 lbm of steam at 500°F and 80 psia.Initially, the masses are separated from each other by an adiabaticmembrane. The membrane ruptures, while the pressure is maintainedat 80 psia, and the system evolves to equilibrium.
Determine: a) The final equilibrium state, specifying T and X if it is a wetmix or T and P if there is overheatingb) The work in ft* lbfc) The mass of vapor that would need to mix with the 0.020 lbm ofliquid so that the final state is dry, saturated vapor at 80 psiain lbm