The initial state of a mole of perfect gas is characterized by Po = 2.105 Pa, VO = 14 liters. This gas is successively subjected to the following reversible transformations:
• An isobaric relaxation that doubles its volume, transformation: (0→1).
• An isothermal compression that brings it back to its initial volume, transformation
: (1→2).
• An isochoric cooling that brings it back to its initial state, transformation:
(2→0).
- Represent the pace of this cycle of transformations in the diagram (P in ordinates, V in abscissa). Arbitrary scale.
- At what temperature is the isothermal compression carried out? Deduce the maximum pressure reached.
- Calculate the work
W01,W12, W20 and heat quantities Q01,
Q12 and Q20 exchanged by the system during the cycle, depending on Po, Vo and
Y= Cp/Cv=1.4 (assumed constant in the temperature range studied).
- Check that AU = 0 for the cycle.
The initial state of a mole of perfect gas is characterized by Po = 2.105 Pa, VO = 14 liters. This gas is successively subjected to the following reversible transformations:
• An isobaric relaxation that doubles its volume, transformation: (0→1).
• An isothermal compression that brings it back to its initial volume, transformation
: (1→2).
• An isochoric cooling that brings it back to its initial state, transformation:
(2→0).
W01,W12, W20 and heat quantities Q01,
Q12 and Q20 exchanged by the system during the cycle, depending on Po, Vo and
Y= Cp/Cv=1.4 (assumed constant in the temperature range studied).