The expansion phase of a simplified diesel cycle is simulated by an air-filled piston-cylinder system, as shown in the figure. A servo-actuator attached to the piston controls the pressure. The air first undergoes a constant pressure expansion followed by a polytropic expansion (with n=1.4). The ratio of final specific volume to initial specific volume, res, is rex = Vs/V1. Initially (state 1) the temperature is T1 = 682 °C and the specific volume is vi = 0.04135 m/kg. Heat is transferred to the air during the constant pressure process, 192, and the air temperature increases to T; = 2475 °C (state 2). During the polytropic expansion process the volume is increased to meet the design expansion ratio of rex = 20. Piston Treat air as an ideal gas. a) Determine the initial pressure, P.. b) Determine the pressure and specific volume at state 2, P2 and v2, respectively. c) Determine the specific volume, Vs, pressure, Ps, and temperature, T3, at the end of the polytropic expansion.

Elements Of Electromagnetics
7th Edition
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The expansion phase of a simplified diesel cycle is simulated by an air-filled
piston-cylinder system, as shown in the figure. A servo-actuator attached to the
piston controls the pressure. The air first undergoes a constant pressure
expansion followed by a polytropic expansion (with n=1.4). The ratio of final
specific volume to initial specific volume, rex, is rex = V3/v1.
Initially (state 1) the temperature is T1 = 682 °C and the specific volume is v1 =
Piston
0.04135 m/kg. Heat is transferred to the air during the constant pressure
process, 192, and the air temperature increases to T2 = 2475 °C (state 2). During
the polytropic expansion process the volume is increased to meet the design
expansion ratio of rex = 20.
Treat air as an ideal gas.
a) Determine the initial pressure, P1.
b) Determine the pressure and specific volume at state 2, P2 and v2, respectively.
c) Determine the specific volume, V3, pressure, Ps, and temperature, T3, at the end of the
polytropic expansion.
Transcribed Image Text:The expansion phase of a simplified diesel cycle is simulated by an air-filled piston-cylinder system, as shown in the figure. A servo-actuator attached to the piston controls the pressure. The air first undergoes a constant pressure expansion followed by a polytropic expansion (with n=1.4). The ratio of final specific volume to initial specific volume, rex, is rex = V3/v1. Initially (state 1) the temperature is T1 = 682 °C and the specific volume is v1 = Piston 0.04135 m/kg. Heat is transferred to the air during the constant pressure process, 192, and the air temperature increases to T2 = 2475 °C (state 2). During the polytropic expansion process the volume is increased to meet the design expansion ratio of rex = 20. Treat air as an ideal gas. a) Determine the initial pressure, P1. b) Determine the pressure and specific volume at state 2, P2 and v2, respectively. c) Determine the specific volume, V3, pressure, Ps, and temperature, T3, at the end of the polytropic expansion.
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