Explanation Write the general expression for the energy balance equation. E in − E out = Δ E system (I) Here, the total energy entering the system is E in , the total energy leaving the system is E out , and the change in the total energy of the system is Δ E system . Simplify Equation (I) and write energy balance relation of argon. Q in − W b,out = Δ U (II) Here, the heat transfer into the system is Q in , the boundary work to be done by the system is W b,out , and the change in the internal energy is Δ U . Simplify Equation (II) and write the energy balance of the polytropic process as per unit mass, where argon as the system. q in − w b , o u t = c v ( T 2 − T 1 ) q in = w b , o u t + c v ( T 2 − T 1 ) (III) Here, the constant-volume of specific heat is c v , the initial temperature of the argon is T 1 , and the final temperature of the argon is T 2 . Write the expression of the boundary work relation for the polytropic process. w b,out = R T 1 1 − n [ ( P 2 P 1 ) ( n − 1 ) / n − 1 ] (IV) Here, the initial pressure is P 1 , the initial temperature is T 1 , the final pressure is P 2 , the polytropic exponent is n and the gas constant is R . Write an ideal gas of argon. P 1 V 1 T 1 = P 2 V 2 T 2 (V) Here, the initial volume is V 1 , the final volume is V 2 , and the final temperature is T 2 . Rewrite the Equation (IV) and write the ideal gas of polytropic process where temperature at the final state. T 2 = T 1 ( P 2 P 1 ) ( n − 1 ) / n (VI) Conclusion: From the Table A-2a “Ideal-gas specific heats of various common gases”, obtain the value of argon gas constant and constant-volume of specific heat at 300 K temperature as 0.2081 kJ / kg ⋅ K and 0.3122 kJ / kg ⋅ K . Substitute 1.2 for n , 0.2081 kJ / kg ⋅ K for R , 10 ° C for K , 800 kPa for P 2 , and 120 kPa for P 1 in Equation (IV)

8th Edition

ISBN: 9780073398174

Author: Yunus A. Cengel Dr., Michael A. Boles

Publisher: McGraw-Hill Education

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Chapter 4.5, Problem 120RP

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The work produce during the compression process, in kJ/kg.

The heat transfer during the compression process, in kJ/kg.

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The work produce during the compression process, in kJ / kg . The heat transfer during the compression process, in kJ / kg .

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The work produce during the compression process, in kJ/kg. The heat transfer during the compression process, in kJ/kg.

Chapter 4 Solutions

The work produce during the compression process, in kJ/kg.

The heat transfer during the compression process, in kJ/kg.