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

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

As per attachment. Part iii

How would you do this question by integrating the work?

**2. Relevant equations**

W = – ∫P dV

PV^gamma = constant

**3. 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.

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

**2. Relevant equations**

**3. The attempt at a solution**

http://ift.tt/1pX34cw