A poly-atomic molecule $({\mathrm{C}}_{\mathrm{v}}=3\mathrm{R},{\mathrm{C}}_{\mathrm{p}}=4\mathrm{R},$ where R is gas constant) goes from phase space point $\mathrm{A}({\mathrm{P}}_{\mathrm{A}}={10}^5\mathrm{Pa},{\mathrm{V}}_{\mathrm{A}}=4\times {10}^{-6}{\mathrm{m}}^3)$ to point B to point B $({\mathrm{P}}_{\mathrm{B}}=5\times {10}^4\mathrm{Pa},$ ${\mathrm{V}}_{\mathrm{B}}=6\times {10}^{-6}{\mathrm{m}}^3)$ to point $\mathrm{C}({\mathrm{P}}_{\mathrm{C}}={10}^4$ Pa, ${\mathrm{V}}_{\mathrm{C}}=8\times {10}^{-6}{\mathrm{m}}^3)$ A to B is an adiabatic path and B to C is an isothermal path. The net heat absorbed per unit mole by the system
is :