Homework Help: Adiabatic Processes for an Ideal Gas

1. Jan 30, 2009

splitringtail

1. The problem statement, all variables and given/known data

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.

2. Relevant equations

First Law of Thermo

Properties of an Ideal Gas

3. 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.

2. Jan 30, 2009

Andrew Mason

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

AM

3. Jan 30, 2009

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.