How Much Work Does a Non-Ideal Gas Perform During Expansion?

[ODrule]

Homework Statement

For some particular unusual non-ideal monatomic gas, take the relation beween P and V at some fixed To to be
P = Po(Vo/V)1/2.
Let To = 100 K, Po = 100000 Pa, and Vo = 0.1 m3.

Homework Equations

How much work does this gas do if it expands, pushing on a piston, from Vi = 0.3 m3 to Vf = 0.44 m3 at T = 100 K?

The Attempt at a Solution

Someone please help?
I don't understand non-ideal gases.

 

[G01]

Even though you don't know much about non-ideal gases, that doesn't mean you can't do anything here. Give me some of your thoughts on the problem. Here's a hint to get you started thinking:

What is the definition of work done by a gas? This should still apply to this non-ideal gas, correct?