Pressure Pat One type of heat engine uses liquid nitrogen as the fuel, and produces work as the nitrogen is brought up to room temperature. One such engine works by injecting evaporated nitrogen gas into a cylinder and allowing it to heat up to room temperature, then it is allowed to isothermally expand to atmospheric pressure before it is released into the atmosphere and the cylinder is reset (isobarically) and the process repeats. A P-V cycle for this engine is depicted below where V₁ is 1 liter (1.0x10-3 m³) and Pat =1.0x105 N/m² B A Isothermal expansion (Room Temp T=300K) V₁ Volume 3.5 V₁ (a) Find the Temperature at point A and the pressure at point B. (b) Find the amount of work done during the process B → C. (c) Find the amount of heat removed during the process C → A. (d) Find the amount of heat added during the process A → B. (e) What is the ideal efficiency of this engine?

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Please explain thoroughly and all formulas associated
One type of heat engine uses liquid nitrogen as the fuel, and produces work as the nitrogen is brought up
to room temperature. One such engine works by injecting evaporated nitrogen gas into a cylinder and
allowing it to heat up to room temperature, then it is allowed to isothermally expand to atmospheric
pressure before it is released into the atmosphere and the cylinder is reset (isobarically) and the process
repeats. A P-V cycle for this engine is depicted below where V1 is 1 liter (1.0x10-3 m3) and Pat =1.0x105 N/m2
(a) Find the Temperature at point A and the pressure at point B.
(b) Find the amount of work done during the process B -> C.
(c) Find the amount of heat removed during the process C -> A.
(d) Find the amount of heat added during the process A -> B.
(e) What is the ideal efficiency of this engine?

Pressure
Pat
One type of heat engine uses liquid nitrogen as the fuel, and produces work as the nitrogen is brought up
to room temperature. One such engine works by injecting evaporated nitrogen gas into a cylinder and
allowing it to heat up to room temperature, then it is allowed to isothermally expand to atmospheric
pressure before it is released into the atmosphere and the cylinder is reset (isobarically) and the process
repeats. A P-V cycle for this engine is depicted below where V₁ is 1 liter (1.0x10-3 m³) and Pat =1.0x105 N/m²
B
A
Isothermal expansion
(Room Temp T=300K)
V₁
Volume
3.5 V₁
(a) Find the Temperature at point A and the pressure at point B.
(b) Find the amount of work done during the process B → C.
(c) Find the amount of heat removed during the process C → A.
(d) Find the amount of heat added during the process A → B.
(e) What is the ideal efficiency of this engine?
Transcribed Image Text:Pressure Pat One type of heat engine uses liquid nitrogen as the fuel, and produces work as the nitrogen is brought up to room temperature. One such engine works by injecting evaporated nitrogen gas into a cylinder and allowing it to heat up to room temperature, then it is allowed to isothermally expand to atmospheric pressure before it is released into the atmosphere and the cylinder is reset (isobarically) and the process repeats. A P-V cycle for this engine is depicted below where V₁ is 1 liter (1.0x10-3 m³) and Pat =1.0x105 N/m² B A Isothermal expansion (Room Temp T=300K) V₁ Volume 3.5 V₁ (a) Find the Temperature at point A and the pressure at point B. (b) Find the amount of work done during the process B → C. (c) Find the amount of heat removed during the process C → A. (d) Find the amount of heat added during the process A → B. (e) What is the ideal efficiency of this engine?
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