Is Work Done by an Ideal Gas Always Equal to P(Vf - Vi)?

[nil1996]

Homework Statement

Workdone by the ideal gas in changing its volume is given by
W=P∫^V_fdV

Homework Equations

The Attempt at a Solution

My question is can we write the above equation by W=P(V_f-V_i)
Is work done dependent on the path the gas has taken to do work?

The Attempt at a Solution

 

[haruspex]

Homework Statement

Workdone by the ideal gas in changing its volume is given by
W=P∫^V_fdV

That's for constant pressure, right?

 

[nil1996]

Yes workdone for constant pressure

 

[haruspex]

Yes workdone for constant pressure

Then W=P(V_f-V_i) is fine.