Adiabatic Processes for an Ideal Gas

[splitringtail]

Homework Statement

The problem is derive the adiabatic processes for an ideal gas going through a point (v,p) on the p-V plane. Also, in terms of p,T and v,T. Draw the curves.

Homework Equations

First Law of Thermo

Properties of an Ideal Gas

Properties of Adiabatic Processes

The Attempt at a Solution

I derived the transformations, but I am getting the impression from the wording that I have to draw all three curves on the p-V diagram. Yet, I don't know. I figure I have to plot the other two in their respective planes.

 

[Andrew Mason]

Homework Statement

The problem is derive the adiabatic processes for an ideal gas going through a point (v,p) on the p-V plane. Also, in terms of p,T and v,T. Draw the curves.

Homework Equations

First Law of Thermo

Properties of an Ideal Gas

Properties of Adiabatic Processes

The Attempt at a Solution

I derived the transformations, but I am getting the impression from the wording that I have to draw all three curves on the p-V diagram. Yet, I don't know. I figure I have to plot the other two in their respective planes.

The question is not clear. Can you provide the actual wording of the question?

AM

 

[splitringtail]

That is the problem wording.

I have to derive you know

$$P V^{gamma} = Constant$$

$$P^{1-gamma} T^{gamma} = Constant$$

$$T V^{gamma-1} = Constant$$

Which I have, from like the 1st Law of Thermodynamics and some empirical facts regarding the internal energy and enthalpy of an ideal gas.

My problem is I am confused whether it is possible to plot them on the same graph. It just talks about a point in the P-V planes. I would think I have to plot each on in their respective plane.