A mixture of \(1 \mathrm{~mol}\) of sulphur dioxide gas, \(0.5 \mathrm{~mol}\) of oxygen gas and \(2 \mathrm{~mol}\) of argon gas are fed into a reactor at \(30 \mathrm{bar}\) and \(900 \mathrm{~K}\) to produce sulphur trioxide gas. The equilibrium constant for the reaction is 6 . Calculate the degree of conversion and equilibrium composition of the reaction mixture, assuming that the mixture behaves like an ideal gas.