n moles of CH4, considered as an ideal gas, are taken through the following thermodynamic cycle: A B: isovolumetric transformation from pressure PA and volume VA to pressure P3=2 PA B C: isobaric expansion from volume VA to volume Vc=3 VA C→D: isovolumetric transformation down to pressure Pp=PA D→A: isobaric compression a- Sketch the (ABCD) cycle on a P-V diagram and determine all the unknown pressures, volumes and temperatures at points A, B, C and D in terms of n, R, PA and VA. b- Determine the net mechanical work done by the gas over the entire cycle.

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n moles of CH4, considered as an ideal gas, are taken through the following thermodynamic
сycle:
A→B: isovolumetric transformation from pressure PA and volume VA to pressure PB=2 PA
B→C: isobaric expansion from volume Va to volume Vc=3 VA
C→D: isovolumetric transformation down to pressure Pp=PA
D A: isobaric compression
a- Sketch the (ABCD) cycle on a P-V diagram and determine all the unknown pressures,
volumes and temperatures at points A, B, C and D in terms of n, R, PA and VA.
b- Determine the net mechanical work done by the gas over the entire cycle.
Transcribed Image Text:n moles of CH4, considered as an ideal gas, are taken through the following thermodynamic сycle: A→B: isovolumetric transformation from pressure PA and volume VA to pressure PB=2 PA B→C: isobaric expansion from volume Va to volume Vc=3 VA C→D: isovolumetric transformation down to pressure Pp=PA D A: isobaric compression a- Sketch the (ABCD) cycle on a P-V diagram and determine all the unknown pressures, volumes and temperatures at points A, B, C and D in terms of n, R, PA and VA. b- Determine the net mechanical work done by the gas over the entire cycle.
c- Determine the heat absorbed by the gas over each leg of the cycle.
d- Explain why the cycle is that of a heat engine and determine its efficiency.
Transcribed Image Text:c- Determine the heat absorbed by the gas over each leg of the cycle. d- Explain why the cycle is that of a heat engine and determine its efficiency.
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