Ideal gas Problems 3-1 The molecular weight of carbon dioxide, CO2, is 44. In an experiment the value y for CO2 was found to be 1.3. Assuming that CO2 is a perfect gas, calculate the gas constant, R, and the specific heats at constant pressure and constant volume, Cp, Cv (0.189 kJ/kg.K; 0.63kJ/kg.K; 0.819kJ/kg.K) 3-2 Oxygen, O2, at 200 bar is to be stored in a steel vessel at 20°C the capacity of the vessel is 0.04m³. Assuming that O₂ is a perfect gas, calculate the mass of oxygen that can be stored in the vessel. The vessel is protected against excessive pressure by a fusible plug which will melt if the temperature rises too high. At what temperature must the plug melt to limit the pressure in the vessel to 240bar? The molecular weight of oxygen is 32 (10.5 kg; 78.6°C) 3-3 A quantity of a certain perfect gas is compressed from an initial state of 0.085m³, 1 bar to a final state of 0.034m³, 3.9 bar. The specific heats at constant volume are 0.724 kJ/kg.K, and the specific heats at constant pressure are 1.02kJ/kg.K. The observed temperature rise is 146K. Calculate the gas constant, R, the mass of gas present, and the increase of internal energy of the gas. (0.296kJ/kg.K; 0.11kg; 11.63kJ)

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter4: Temperature Effects On Atom Arrangements And Atom Motion
Section: Chapter Questions
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Ideal gas
Problems
3-1 The molecular weight of carbon dioxide, CO2, is 44. In an experiment the value y for
CO2 was found to be 1.3. Assuming that CO2 is a perfect gas, calculate the gas
constant, R, and the specific heats at constant pressure and constant volume, Cp, Cv
(0.189 kJ/kg.K; 0.63kJ/kg.K; 0.819kJ/kg.K)
3-2 Oxygen, O2, at 200 bar is to be stored in a steel vessel at 20°C the capacity of the vessel
is 0.04m³. Assuming that O₂ is a perfect gas, calculate the mass of oxygen that can be
stored in the vessel. The vessel is protected against excessive pressure by a fusible plug
which will melt if the temperature rises too high. At what temperature must the plug
melt to limit the pressure in the vessel to 240bar? The molecular weight of oxygen is 32
(10.5 kg; 78.6°C)
3-3 A quantity of a certain perfect gas is compressed from an initial state of 0.085m³, 1 bar
to a final state of 0.034m³, 3.9 bar. The specific heats at constant volume are 0.724
kJ/kg.K, and the specific heats at constant pressure are 1.02kJ/kg.K. The observed
temperature rise is 146K. Calculate the gas constant, R, the mass of gas present, and
the increase of internal energy of the gas.
(0.296kJ/kg.K; 0.11kg; 11.63kJ)
Transcribed Image Text:Ideal gas Problems 3-1 The molecular weight of carbon dioxide, CO2, is 44. In an experiment the value y for CO2 was found to be 1.3. Assuming that CO2 is a perfect gas, calculate the gas constant, R, and the specific heats at constant pressure and constant volume, Cp, Cv (0.189 kJ/kg.K; 0.63kJ/kg.K; 0.819kJ/kg.K) 3-2 Oxygen, O2, at 200 bar is to be stored in a steel vessel at 20°C the capacity of the vessel is 0.04m³. Assuming that O₂ is a perfect gas, calculate the mass of oxygen that can be stored in the vessel. The vessel is protected against excessive pressure by a fusible plug which will melt if the temperature rises too high. At what temperature must the plug melt to limit the pressure in the vessel to 240bar? The molecular weight of oxygen is 32 (10.5 kg; 78.6°C) 3-3 A quantity of a certain perfect gas is compressed from an initial state of 0.085m³, 1 bar to a final state of 0.034m³, 3.9 bar. The specific heats at constant volume are 0.724 kJ/kg.K, and the specific heats at constant pressure are 1.02kJ/kg.K. The observed temperature rise is 146K. Calculate the gas constant, R, the mass of gas present, and the increase of internal energy of the gas. (0.296kJ/kg.K; 0.11kg; 11.63kJ)
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