A chamber fitted with a piston contains \(1.00 \mathrm{~mol}\) of an ideal gas.

(a) The piston is slowly moved to decrease the chamber volume while the gas temperature is held constant at \(296 \mathrm{~K}\). How much work is done by the gas if the final chamber volume is one-third the initial volume?

(b) If, instead of moving in the direction that decreases the chamber volume, the piston slowly moves in the direction that increases that volume, how much work is done by the gas if the final chamber volume is three times the initial volume?