To determine The work done in the process. Explanation Write the expression for the specific volume at the end of the process. v 2 = ( P 1 P 2 ) 1 n v 1 (I) Here, polytropic index is n the initial volume in the process is v 1 , final volume at the end of the process is v 2 , initial pressure at the start of the process is P 1 and the final pressure at the end of the process is P 2 Write the expression for the work done in the polytropic process. W = ( m ) P 1 v 1 − P 2 v 2 n − 1 (II) Here, the work done in the process is W and the mass of refrigerant is m . Conclusion: Refer to the Table A − 9 “Properties of the superheated Refrigerant 22 vapour” at 12 bar and 60 °C to obtain the value of v 1 as 0.02319 m 3 / kg . Substitute 12 bar for P 1 , 8 bar for P 2 , 0.02319 m 3 / kg for v 1 and − 0.8 for n in the Equation (I). v 2 = ( 12 bar 8 bar ) 1 − 0.8 ( 0.02319 m 3 / kg ) = ( 0.60240 ) ( 0.02319 ) m 3 / kg = 0.0139696 m 3 / kg ≈ 0.01397 m 3 / kg Substitute 12 bar for P 1 , 8 bar for P 2 , 0.02319 m 3 / kg for v 1 , 0.01397 m 3 / kg for v 2 , 3 kg for m and − 0

Fundamentals of Engineering Thermodynamics, Binder Ready Version

8th Edition

ISBN: 9781118820445

Author: Michael J. Moran, Howard N. Shapiro, Daisie D. Boettner, Margaret B. Bailey

Publisher: WILEY

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Chapter 3.14, Problem 35P

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The work done in the process.

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Chapter 3.14, Problem 34P

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