Calculating Work in Ideal Gas Systems with Movable Pistons

[mp1019]

Homework Statement

An ideal gas is enclosed in a cylinder that has a movable piston on top. The piston has a mass m and an area A and is free to slide up and down, keeping the pressure of the gas constant. How much work is done on the gas as the temperature of n mol of the gas is raised from T1 to T2? (Use T_1 for T1, T_2 for T2, and m, A, R, and n as necessary.)

Homework Equations

n=m/M
P=F/A
PV=nRT
PV=(kB)T
W=- integral of P dV from Vf to Vi ( sorry I was not sure how to format this!)

The Attempt at a Solution

I was not sure how to go about doing this. Do I set the ideal gas law equal to volume and then plug that into work?

 

[Black Swan]

Is this work done on the gas or by the gas?

 

[mp1019]

It's the work that is done on the gas I believe.