A horizontal piston-cylinder assembly is placed in a constant temperature bath. The piston slides in the cylinder with negligible friction, and the external force holds it in place against an initial gas pressure of \(12 \mathrm{bar}\). The initial gas volume is \(0.04 \mathrm{~m}^{3}\). The external force is reduced gradually, allowing the gas to expand until its volume doubles. If the gas follows the relation \(P V^{T}=\) Constant, determine

(i) the work done by the gas

(ii) the work done if the external force were suddenly reduced to half its initial value instead of being gradually reduced.