How to Plot a Thermodynamic Cycle in T-s Diagram?

[gezibash]

Homework Statement

I have been given a description of a thermodynamic cycle that looks like this. I have two polytropic processes (n₁=1.2, n₂=1.9), and one isochoric. The known data are:

p₁ = 1 bar
T₁ = 15 °C

p₂ = 15 bar

Homework Equations

p v^(1.2) = 0.7958
p v^(1.9) = 0.69657

The Attempt at a Solution

As you can see I've been able to compute the necessary values for the cycle in P-v. My interest is to now compute the values in T-s. I have all the temperatures, and using software I was able to compute the entropy for all points. My question is, how can I plot the data on the T-s diagram. For example, to plot the polytropes all I did was

p = 0.7958 v^(-1.2)

and it shows as a graph. My interest is now how to plot the polytrope in the T-s diagram, or at least how can I approach this problem?

 

[Greg Bernhardt]

Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?

 

[Dr.D]

Do you know how to make a Legendre transformation?