A horizontal, frictionless piston$-$cylinder assembly is placed in an isothermal bath. Initially, the system contained within is in equilibrium with an external pressure of $22$ bar. The initial gas volume is $0\mathrm{.}3m^3.$ The external pressure on the piston is gradually reduced, and the gas expands isothermally and reversibly until its volume has tripled. If the pressure of the gas and its volume are related so that $Pv$ is constant, what is the work done by the gas during the expansion process? Assume the gas behaves as an ideal gas.