Chemical Thermodynamics: JEE Main 2025 Chemistry question

A perfect gas (0.1 mol) having $\bar{C}_v = 1.50R$ (independent of temperature) undergoes the above transformation from point 1 to point 4. If each step is reversible, the total work done (w) while going from point 1 to point 4 is (−) ______ J (nearest integer) [Given: R = 0.082 L atm $\mathrm{K^{-1}\,mol^{-1}}$] [P–V diagram: 1 (1000 $\mathrm{cm^3}$, 1.00 atm) → 2 (1000 $\mathrm{cm^3}$, 3.00 atm) → 3 (2000 $\mathrm{cm^3}$, 3.00 atm) → 4 (2000 $\mathrm{cm^3}$, 1.00 atm).]