A heating coil is immersed in a 100g sample of ${\mathrm{H}}_2\mathrm{O}\left(\mathrm{l}\right)$ at 1 atm and ${100}^{\mathrm{o}}\mathrm{C}$ in a closed vessel.In this heating process, $60\mathrm{\%}$ of the liquid is converted to the gaseous form at constant pressure of 1 atm. The densities of liquid and gaseous water under these conditions are $1000\mathrm{ }\mathrm{k}\mathrm{g}/{\mathrm{m}}^3$ and $0.60\mathrm{ }\mathrm{k}\mathrm{g}/{\mathrm{m}}^3$ respectively. Magnitude of the work done for the process is:    $(\mathrm{take}1\mathrm{atm}={10}^5\raisebox{1ex}{$\mathrm{N}$}\!\left/ \!\raisebox{-1ex}{${\mathrm{m}}^2$}\right.)$