Calculating Work: Pressure and Volume Relationship for a Blown-Up Balloon

[Bahamas]

Homework Statement

A balloon behaves such that the pressure is P = CV³ where C = 100 kPa/m3. The balloon is blown up with air from a starting volume of 1 m³ to a volume of 3 m³. Find the work done by the air.

Homework Equations

W=∫PΔV... something to do with integrating to find the work (the area under the curve)

The Attempt at a Solution

I found P₁= 100 kPa/m³ x (1m³)³ = 100 kPa
I also found P₂ = 100 kPa/m³ x (3m³)³ = 900 kPa

 

[rude man]

Homework Statement

A balloon behaves such that the pressure is P = CV³ where C = 100 kPa/m3. The balloon is blown up with air from a starting volume of 1 m³ to a volume of 3 m³. Find the work done by the air.

Homework Equations

W=∫PΔV... something to do with integrating to find the work (the area under the curve)

So use that formula! (You don't need to find p anywhere).