Explanation Given: Initial pressure of air is 45 lbf/in 2 . Initial temperature of air is 60 F . Volume of cylinder initially is 9 ft 3 . Final volume of cylinder is 36 ft 3 . The pressure of air in line is 75 lbf/in 2 . Temperature of air in line is 1100 R . Final pressure in cylinder is 60 lbf/in 2 . Final temperature of cylinder is 630 R . Concept used: Write the expression for initial mass of air in cylinder. m 1 = P 1 V 1 R T 1 ..........(1) Here, m 1 is the initial mass of air in cylinder, P 1 is the initial pressure of air in cylinder, V 1 is the initial volume of cylinder, T 1 is the initial temperature of air in cylinder and R is the gas constant of air. Write the expression for final mass of air in cylinder. m 2 = P 2 V 2 R T 2 ..........(2) Here, m 2 is the final mass of air in cylinder, V 2 is the final volume of cylinder, P 2 is the final pressure of air in cylinder, and T 2 is the final temperature of air in cylinder. Write the expression for mass entering the cylinder. m i n = m 2 − m 1 ..........(3) Here, m i n is the mass enter the cylinder. Draw the p-v diagram for the process as shown below: Write the expression for work done for constant pressure. W 12 = P 1 ( V 2 − V 1 ) ..........(4) Here, W 12 is the work done, p 1 is the initial pressure, V 2 is the final volume and V 1 is the initial volume. Write the expression for heat transfer. Q 12 = m 2 C v T 2 − m 1 C v T 1 + W 12 − m i n C p T i n ..........(5) Here, Q is the heat transfer, C v is the specific heat of air at constant volume and T i n is the temperature of air in line. Calculation: Substitute 45 lbf/in 2 for P 1 , 9 ft 3 for V 1 , 53.34 ft ⋅ lbf/lbm ⋅ R for R and 60 F for T 1 in equation (1). m 1 = ( 45 lbf/in 2 ) ( 144 in 2 1 ft 2 ) ( 9 ) ( 53.34 ) ( 60 + 459.7 ) = 2.104 lbm Substitute 75 lbf/in 2 for P 1 , 36 ft 3 for V 2 , 53

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ISBN: 9781119321453

Author: Sonntag

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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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, Problem 4.163EP

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The mass of air enters, the work and the heat transfer.

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