A system is made of a cylinder sealed at the top and closed by a piston at the bottom. A valve A controls intake of ideal gas at the top, and an exhaust valve B is held back by a spring that exerts constant pressure P2 on it. The following cycle occurs by moving the piston and controlling valve A: 0→1: Isobaric expansion from Vo=0 (piston at top of cylinder) to V₂ allows air in at atmospheric pressure P₁= 100 kPa and temperature T, through valve A, with valve B closed. 1→2: Adiabatic compression with valve A closed, and B closed until reaching pressure P₂=10 P₁ at temperature 72 and volume V₂. 2→3: Isobaric compression from V₂ back to Vo through valve B with valve A still closed to remove almost all the gas. 30: Valve A opened which causes the pressure to drop back to atmospheric pressure Pr (a) Draw the P-V diagram for the full cycle 0>1>2>30 (b) (c) Determine temperature 72 and volume V₂ if V₁= 0.25 litre, y= 1.4 and T1 = 27°C. Find the work Wperformed per cycle. Does this act like a brake, why?

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1.
A system is made of a cylinder sealed at the top and closed by a piston at the bottom.
A valve A controls intake of ideal gas at the top, and an exhaust valve B is held back
by a spring that exerts constant pressure P2 on it. The following cycle occurs by
moving the piston and controlling valve A:
0 ➜1: Isobaric expansion from Vo=0 (piston at top of cylinder) to V, allows air in at
atmospheric pressure P₁= 100 kPa and temperature T, through valve A, with valve B
closed.
1→2: Adiabatic compression with valve A closed, and B closed until reaching
pressure P₂=10 P, at temperature 72 and volume V2.
2→3: Isobaric compression from V2 back to Vo through valve B with valve A still
closed to remove almost all the gas.
3-→0: Valve A opened which causes the pressure to drop back to atmospheric
pressure P1
(a)
(b)
(c)
Draw the P-V diagram for the full cycle 01>2>3→0
Determine temperature 72 and volume V₂ if V₁= 0.25 litre, y = 1.4 and
T₁ = 27°C.
Find the work W performed per cycle. Does this act like a brake, why?
Valve A
Valve B
F
Transcribed Image Text:1. A system is made of a cylinder sealed at the top and closed by a piston at the bottom. A valve A controls intake of ideal gas at the top, and an exhaust valve B is held back by a spring that exerts constant pressure P2 on it. The following cycle occurs by moving the piston and controlling valve A: 0 ➜1: Isobaric expansion from Vo=0 (piston at top of cylinder) to V, allows air in at atmospheric pressure P₁= 100 kPa and temperature T, through valve A, with valve B closed. 1→2: Adiabatic compression with valve A closed, and B closed until reaching pressure P₂=10 P, at temperature 72 and volume V2. 2→3: Isobaric compression from V2 back to Vo through valve B with valve A still closed to remove almost all the gas. 3-→0: Valve A opened which causes the pressure to drop back to atmospheric pressure P1 (a) (b) (c) Draw the P-V diagram for the full cycle 01>2>3→0 Determine temperature 72 and volume V₂ if V₁= 0.25 litre, y = 1.4 and T₁ = 27°C. Find the work W performed per cycle. Does this act like a brake, why? Valve A Valve B F
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