What is the work done by gas, given V, T and P

[arddi2007]

Homework Statement

0.5 m³ of air is located in a vessel. Their temperature is T₁=0^oC and the pressure is p=3·10⁵. What work will be done when heating the gas with constant pressure (isobaric process) to T₂=100^oC?

Homework Equations

I was unable to find any equation regarding to the work done by gases. This is a part of physics I'm not so good at. But these equations might be useful too:

Isobaric process (with constant pressure):

V₁/T₁=V₂/T₂

From that equation we can find the value of V₂.

The Attempt at a Solution

V₁/T₁=V₂/T₂
V₂=V₁T₂/T₁

After converting and substituting the values, we get the value of V₂:

V₂=0.683 m³.

Still, I am unable to find any relevant equation for work done by gases and I would appreciate any help. Thank you very much!

 

[Mapes]

Still, I am unable to find any relevant equation for work done by gases and I would appreciate any help.

The work done is [itex]W=\int P\,dV[/itex]. You really couldn't even find this with an Internet search?

 

[gneill]

It's handy to remember, in terms of the units involved, that the product of pressure and volume yields energy. That is, N/m² x m³ --> Nm --> Joules.

So if pressure is kept the same, the work done will be PΔV.