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Help with Thermodynamics

Im a first year student of Aerospace engineering.
I've got two questions from my coursework which I'm struggling to do.
Could anyone help me out?

The piston/cylinder arrangement shown Fig Q3 contains air at a pressure of 1.5 bar
and a temperature of 400 ºC. The air is allowed to cool to an ambient temperature of
20ºC.
(a) Is the piston resting on the stoppers when the system reaches its final state?
[Show all working]
(b) What is the final pressure in the cylinder?
(c) If the cross-sectional area of the piston/cylinder is 2 m2, calculate the work
transfer during the process.
(d) Sketch the process on a p −V diagram.

The properties of air may be related to one another by the equation
pV = mRT
where, p = pressure; V = volume; m =mass; R = specific gas constant; and T =
temperature.


Thats the first question and the 2nd question is below:
A gas, of mass 3 kg, is contained within a rigid cylinder and undergoes a cycle which
consists of three separate thermodynamic processes:
Isobaric Expansion:
From state 1 to state 2, at a pressure of p =1.2 bar , where 3
1 V = 2 m and 3
2 V = 5 m .
Isothermal Compression:
From state 2 to state 3 along a pV = constant process.
Isometric Process:
From state 3 to state 1, where 40 kJ/kg 3 1
u3 − u1 = .
First, use Excel to accurately plot the cycle (make sure the chart is fully labelled and
proper units have been used). For the isothermal compression, fit an appropriate
curve to the process and display the equation of this curve on the Excel Chart. Import
the Excel Chart into the main text of your Word document.

Calculate
(a) The work done in going from state 1 to 2:

(b) The work done in going from state 2 to 3:

(c) The net work done around the cycle:

(d) The heat transfer in going from state 2 to state 3:

(e) The heat transfer in going from state 3 to state 1:

(f) The heat transfer in going from state 1 to state 2:

(g) Assume the volumes V1 and V2 are fixed; and pressures 1 p and 2 p are also fixed. If the pressure 3 p is doubled, how will this affect the work done between states 2 and 3 if the process remains isothermal; how will this affect your calculations for the net work done around the cycle?

Any help with any of these questions would be really appreciated
Cheers! :wink:
Nicks1990
Im a first year student of Aerospace engineering.
I've got two questions from my coursework which I'm struggling to do.
Could anyone help me out?

The piston/cylinder arrangement shown Fig Q3 contains air at a pressure of 1.5 bar
and a temperature of 400 ºC. The air is allowed to cool to an ambient temperature of
20ºC.
(a) Is the piston resting on the stoppers when the system reaches its final state?
[Show all working]
(b) What is the final pressure in the cylinder?
(c) If the cross-sectional area of the piston/cylinder is 2 m2, calculate the work
transfer during the process.
(d) Sketch the process on a p −V diagram.

The properties of air may be related to one another by the equation
pV = mRT
where, p = pressure; V = volume; m =mass; R = specific gas constant; and T =
temperature.


Thats the first question and the 2nd question is below:
A gas, of mass 3 kg, is contained within a rigid cylinder and undergoes a cycle which
consists of three separate thermodynamic processes:
Isobaric Expansion:
From state 1 to state 2, at a pressure of p =1.2 bar , where 3
1 V = 2 m and 3
2 V = 5 m .
Isothermal Compression:
From state 2 to state 3 along a pV = constant process.
Isometric Process:
From state 3 to state 1, where 40 kJ/kg 3 1
u3 − u1 = .
First, use Excel to accurately plot the cycle (make sure the chart is fully labelled and
proper units have been used). For the isothermal compression, fit an appropriate
curve to the process and display the equation of this curve on the Excel Chart. Import
the Excel Chart into the main text of your Word document.

Calculate
(a) The work done in going from state 1 to 2:

(b) The work done in going from state 2 to 3:

(c) The net work done around the cycle:

(d) The heat transfer in going from state 2 to state 3:

(e) The heat transfer in going from state 3 to state 1:

(f) The heat transfer in going from state 1 to state 2:

(g) Assume the volumes V1 and V2 are fixed; and pressures 1 p and 2 p are also fixed. If the pressure 3 p is doubled, how will this affect the work done between states 2 and 3 if the process remains isothermal; how will this affect your calculations for the net work done around the cycle?

Any help with any of these questions would be really appreciated
Cheers! :wink:


For the first question, we are assuming a quasi-equilibrium process. I assume the figure is a heavy piston resting on air, with stoppers at a certain height?

Calculate final pressure and temperature using the ideal gas equation, find final volume, and use this with dimensions of cylinder to find height.

Work transfer is forcexdistance in this case, assuming a constant piston weight. in other questions you would use the integral of pdv.

PV diagram is like a 1/x graph.


Sorry i dont have time to help with the second question right now
Reply 2
The question has a diagram, but I dont know how to upload it to this site, basically its a piston which is 2m high, at the beginning, the stopper at 1m high

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