Mathematical model, work done on a gas

[kid_123]

In a mathematical model, a gas is under a pressure of the form P=e^-v2 (v is volume). Find the work (in Joules) done on the gas as its volume decreases from infinity to zero.

 

[Norfonz]

Use the definition for work.

dW = PdV

Integrate both sides.

 

[kid_123]

so would it just be ∫e^-v2 from ∞ to 0?

 

[kid_123]

which gives -.886227 joules?

 

[plazprestige]

W = -fnInt(e^v^2, v, infinity, 0)

Seems like just need to set up that definite integral.

 

[kabailey]

Use the definition for work.

dW = PdV

Integrate both sides.

W=∫_v1^v₂PdV

∴W=∫₀^∞PdV

Would he just simply substitute his P in this formula?