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A frictionless piston-cylinder initially contains pure substance A at 20C, and there is a mass of load on the top of the piston to

 

A frictionless piston-cylinder initially contains pure substance A at 20C, and there is a mass of load on the top of the piston to maintain a pressure of 20000 kPa. Subsequently, the whole piston-cylinder is then heated to 350C while some of the mass is gradually lifted in the similar pace to lower down the pressure to 16.529 MPa linearly, where the 1st gas bubble is about to formed. Once the piston-cylinder device attains 350C and 16.529 MPa, the heating process resume without any loaded mass removal until pure substance A has apparently no residual liquid droplets. Thereafter, pure substance A in piston-cylinder device expanded polytropically until the final pressure equals to 4.5 MPa and the final specific volume is 0.05842 m/kg. From a former study, it is shown that the thermodynamic properties of pure substance A resemble that of the water, except for superheated vapor state (obey polytropic manner). For a higher accuracy study, compressed liquid must not be approximated as saturated liquid. (Hint: this is a 3-steps process with 4 thermodynamic states.) (a) Identify the phase and specific volume of each state (from state 1 to state 4). C (8 Marks) (b) Calculate the polytropic constant (n) and final temperature (7) as process 3 is a polytropic expansion process. (4 Marks) (c) Draw the Pv diagram to show the whole process from state 1 to state 4. Complete your Pv diagram with isotherms, process arrows, and states. (6 Marks) (d) Calculate the total specific boundary work of whole process.

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Solution a State 1 P 20MPa T20C 293K From the tables V 010018 x 10 2 mkg State 2 T 3... blur-text-image

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