An ice cube of mass $0.1 \,kg$ at $0^{\circ}C$ is placed in an isolated container which is at $227^{\circ}C$. The specific heat s of the container varies with temperature $T$ according to the empirical relation $s = A + BT$, where $A = 100\, cal\, kg^{-1}\, K^{-1}$ and $B = 2 \times 10^{-2}\, cal\, kg^{-1}$. If the final temperature of the container is $27^{\circ}C$, the mass of the container is
(Latent heat of fusion of water $= 8 \times 10^4\, cal\, kg^{-1}$, specific heat of water $= 10^3\,cal\, kg^{-1}\, K^{-1}$)