2. (Target T1) While the simplicity of the ideal gas model makes it a good tool for understanding

the foundation of many systems, this simplicity means it is not so useful when you need more

precision. There are other models for real gases. One model gives the equation of state as

N²o

(P + №²a) (v

(V-NB) = KT

V2

where a and 3 are constants that depend on the molecules that make up the gas (specifically,

a is related to the electrostatic interactions between molecules, and ß is related to the size of

a molecule).

Determine the work done by this gas on its surroundings as it expands from an initial volume

Vo to a final volume 3V at a constant temperature To. Your result will be in terms of Vo, To,

N, and constants.