Three moles of an ideal monoatomic gas performs a cycle $1\to 2\to 3\to 4\to$as shown. The gas temperatures in different states are ${\mathrm{T}}_1=400\mathrm{K},{\mathrm{T}}_2=800\mathrm{K},{\mathrm{T}}_3=2400\mathrm{K}\text{ and }{\mathrm{T}}_4=1200\mathrm{K}$ .The work done by the gas during the cycle is