A certain ideal gas has molar heat capacity at constant volume Cᵧ. A sample of this gas initially occupies a volume V₀ at pressure p₀ and absolute temperature T₀. The gas expands isobarically to a volume 2V₀, then expands further adiabatically to a final volume of 4V₀.

Compute the total work done by the gas for this sequence of processes.

Express your answer in terms of p₀, V₀, T₀, Cᵧ, and the gas constant R.