To determine The mass of the air. The work transfer. The heat transfer. Explanation Write the expression for mass using ideal gas Equation at state 1. m = p 1 V 1 R T 1 (I). Here mass of the air is m , temperature at state 1 is T 1 , pressure at state 1 is p 1 and the volume at state 1 is V 1 . The figure below shows the diagram of the process. Figure-(1) In Figure-(1), the process 1 − 2 shows the constant temperature process. Write the expression for work done during isothermal process. W = m R T 1 ln ( p 1 p 2 ) (II) Here mass is m , gas constant is R , pressure at state 2 is p 2 and work done is W . Write the expression for change in internal energy. Δ U = m c v ( T 2 − T 1 ) (III) Here, specific heat at constant volume is c v , change in internal energy is Δ U , temperature at state 1 is T 1 , and temperature at state 2 is T 2 . Write the expression of first law of Thermodynamics. Q = Δ U + W (IV) Here, heat transfer during the process is Q , change in internal energy of the system is Δ U , and the work done is W . Conclusion: Substitute 2 kPa for p 1 , 2 m 3 for V 1 , 300 K for T 1 and 0.287 kJ / kg ⋅ K for R in Equation (I). m = ( 200 kPa ) ( 2 m 3 ) ( 0.287 kJ kg ⋅ K ) ( 300 K ) = ( 200 kPa ) ( 1 kN ⋅ m 1 kPa ) ( 2 m 3 ) 86.1 kJ / kg = 400 kN / m 2 ( 86

Fundamentals of Engineering Thermodynamics

8th Edition

ISBN: 9781118832301

Author: SHAPIRO

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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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 3.14, Problem 112P

To determine

The mass of the air.

The work transfer.

The heat transfer.

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Chapter 3.14, Problem 111P

Chapter 3.14, Problem 113P

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