An ice cube of mass 0.1kg at 0∘C is placed in an isolated container which is at 227∘C. The specific heat S of the container varies with temperature T according to the empirical relation S=A+BT, where A = 100cal/kg −K and B = 2 × 10^−2cal/kg−K^2. If the final temperature of the container is 27∘C, determine the mass of the container. (Latent heat of fusion of water =8 × 10^4 cal/kg, Specific heat of water = 10^3 cal/kg−K).