a) Explanation Given: Compression ratio ( r ) is 10.5 . Volume of the cylinder ( V ) is 0.4 L . Temperature of air at state 1 ( T 1 ) is 37 ° C . Temperature of air at state 3 ( T 3 ) is 2100 K . Pressure of air at state 1 ( P 1 ) is 98 kPa . Net power output of the engine ( W ˙ net ) is 45 kW . Calculation: Draw the P − v diagram of the cycle as in Figure (1). Refer Table A-2, “Ideal-gas specific heats of various common gases at 300 K ”, obtain the gas constant of air. R = 0.287 kPa ⋅ m 3 / kg ⋅ K Refer table A-21, “Ideal gas properties of the air”, obtain the specific internal energy and relative specific volume of air at the temperature of 310 K . u 1 = 221 .25 kJ / kg v r 1 = 572 .3 Calculate the relative specific volume at state 2 ( v r 2 ) . v r 2 = v 2 v 1 v r 1 = ( 1 r ) v r 1 = ( 1 10.5 ) ( 572.3 ) = 54.50 Refer table A-21, “Ideal gas properties of the air”, obtain the specific internal energy of air at the relative pressure of 54.50 . u 2 = 564 b) To determine The thermal efficiency of the cycle. c) To determine The number of revolutions per minute required.

Fundamentals Of Thermal-fluid Sciences In Si Units

5th Edition

ISBN: 9789814720953

Author: Yunus Cengel, Robert Turner, John Cimbala

Publisher: McGraw-Hill Education

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Question

Chapter 9, Problem 173RQ

To determine

The amount of heat supplied per cylinder.

To determine

The thermal efficiency of the cycle.

To determine

The number of revolutions per minute required.

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Chapter 9, Problem 172RQ

Chapter 9, Problem 175RQ

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Chapter 9 Solutions

Fundamentals Of Thermal-fluid Sciences In Si Units

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