Calculating work done on a gas- Adiabatic process PV diagram.

[jjcp]

Homework Statement

As per attachment. Part iii

How would you do this question by integrating the work?

Homework Equations

W = - ∫P dV

PV^gamma = constant

The Attempt at a Solution

So I integrated the work with P= constant/ V^gamma and came up with this:

W = constant* ( Vf^(1-gamma)-Vi^(1-gamma) ) / (1-gamma)


So now how to I find the constant from the graph and information provided. This is what I was trying to do with not much luck:

constant = (Pi* Vi)^gamma / (Pf* Vf)^gamma

Am I missing something obvious?

Thanks in advance.

 

[BiGyElLoWhAt]

Have you done this before? Draw yourself some riemann rectangles and maybe you'll see how you have to set this up. Think about x and y and then look at what you have, hopefully you'll see what you need to do.

 

[Chestermiller]

Show us the details of how you did the integration, and we will be able to help you. Otherwise, it's hard to point out where your problem is from just your final equations.

Chet