Initially there are 3 weights, each weighing 1500kg on the weightless friction-less piston. In addition there is one atm of ambient pressure being exerted on the piston. The radius of the piston is 1 meter and the initial height is 1 meter.

1)At 330 K, how many moles of helium would be below the piston assuming that helium is behaving ideally? 2)Compute the amount of work done by the gas if all three weights were removed simultaneously during an isothermal expansion, Then compute the amount of work done if only one weight is removed at a time. Why do they differ?

3) If all the weight from the cylinder was removed infinitely slowly and isothermally (reversible, isothermal expansion) what is the maximum amount of work that the gas could provide? How much heat would be added to the system to achieve this work?