A cylinder with a frictionless, leak proof, piston at one end and closed at the other end, contains 0.5 kg of air. The air is taken through the following cycle of processes; 1. From an initial temperature of 25°C and pressure of 1 bar it is compressed isothermally to 1/12th of its initial volume. 2. The air temperature is increased to 1200°C by heat transfer at constant pressure 3. The cylinder is cooled by a constant volume heat transfer process until the temperature in the cylinder is 500°C. Calculate; a) The pressure at the end of the compression process (1187 kPa) b) The volume occupied by the gas after the isobaric heat transfer (0.178m3) c) The pressure after the cooling process (623kPa). d) The net work done during the cycle. (63.4kJ) For Air: R=0.287 kJ/kgK, Cp=1.005 kJ/kgK, Cv=0.718 kJ/kgK

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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answers are a)1187Kpa, b)(0.178m3 c) 623kPa d) 63.4kJ show steps on how to reach these

A cylinder with a frictionless, leak proof, piston at one end and closed at the
other end, contains 0.5 kg of air. The air is taken through the following cycle
of processes;
1. From an initial temperature of 25°C and pressure of 1 bar it is
compressed isothermally to 1/12th of its initial volume.
2. The air temperature is increased to 1200°C by heat transfer at
constant pressure
3. The cylinder is cooled by a constant volume heat transfer process
until the temperature in the cylinder is 500°C.
Calculate;
a) The pressure at the end of the compression process (1187 kPa)
b) The volume occupied by the gas after the isobaric heat transfer
(0.178m3)
c) The pressure after the cooling process (623kPa).
d) The net work done during the cycle. (63.4kJ)
For Air: R=0.287 kJ/kgK, Cp=1.005 kJ/kgK, Cv=0.718 kJ/kgK
Transcribed Image Text:A cylinder with a frictionless, leak proof, piston at one end and closed at the other end, contains 0.5 kg of air. The air is taken through the following cycle of processes; 1. From an initial temperature of 25°C and pressure of 1 bar it is compressed isothermally to 1/12th of its initial volume. 2. The air temperature is increased to 1200°C by heat transfer at constant pressure 3. The cylinder is cooled by a constant volume heat transfer process until the temperature in the cylinder is 500°C. Calculate; a) The pressure at the end of the compression process (1187 kPa) b) The volume occupied by the gas after the isobaric heat transfer (0.178m3) c) The pressure after the cooling process (623kPa). d) The net work done during the cycle. (63.4kJ) For Air: R=0.287 kJ/kgK, Cp=1.005 kJ/kgK, Cv=0.718 kJ/kgK
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