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Problem 7: Consider the piston-cylinder assembly shown at the top of page. Itis well insulated and initially contains two 5000 kg blocks at rest on
Problem 7: Consider the piston-cylinder assembly shown at the top of page. Itis well insulated and initially contains two 5000 kg blocks at rest on the 0.05 m?piston. The initial temperature is 500 K. The ambient pressure is 5 bar. One mol of anideal gas is contained in the cylinder. This gas is compressed in a process in which another 5000 kg block is added. The heat capacity of the gas at constant volume can be taken to have a constant value of SR, where Ris the gas constant. (Ans: (a) P, = 24.62 x 10 Pa, Pr=34.43 X 105 Pa; (c) 557 K ; (d) 0.3524 J mol~*K~1) (a) What are the initial and final pressures of the gas in the system? (b) Do you expect the temperature to rise or fall? Explain. (c) What is the final temperature? (d) Calculate ASg,s and ASq,,- [Hint: You may want to refer to the Carnot cycle to getanidea of a possible set of reversible processes to pick.] (e) Does this process violate the second law of thermodynamics? Explain. Process consists of adding third kg 5000 kg block to compress piston ~ Well insulated 1 mol of pure, ideal gas T initiat = 500 K 0-5h
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