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?
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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