10 gm of ice at $-{200}^{0}C$ is mixed with 4 gm of steam at  ${600}^{0}C$ in an adiabatic vessel. The latent heat of vapourization of water is L cal/gm. Assume specific heats of ice, water and steam as $L/1000, L/500 and L/1000$ in  $\frac{cal}{g{m}^{0}C}$ respectively and latent heat of ice as  $\frac{L}{6} \frac{cal}{gm}$. In thermal equilibrium