Thermodynamics

5.0 moles of an Ideal gas at 3.0 atm pressure and \(27^{\circ} \mathrm{C}\) is compressed isothermally to half its volume by application of an external pressure of \(3.5 \mathrm{~atm}\). What is the amount of work done (in joules) on the gas?
Given: \(1 \mathrm{~L} \mathrm{~atm}=101.3 \mathrm{~J}: \mathrm{R}=0.082 \mathrm{~L} \mathrm{~atm} \mathrm{~K}{ }^{-1} \mathrm{~mol}^{-1}\)