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

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Author: CENGEL

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Work and Heat Transfer

It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. T…

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Chapter 4.5, Problem 66P

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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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Chapter 4.5, Problem 65P

Chapter 4.5, Problem 67P

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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.