An ice cube of mass 0.1 kg 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 = 100 calkg−K and B = 2×10−2calkg−K2. If the final temperature of the container is 27∘, determine the mass (in Kg) of the container. (Latent heat of fusion for water = 8×104calkg, specific heat of water = 103calkg−K. Answer upto 2 decimal places.

An ice cube of mass 0.1 kg at 0∘ C is placed in an isolated containe

1.	An ice cube of mass 0.1 kg 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 = 100 calkg−K and B = 2×10−2calkg−K2. If the final temperature of the container is 27∘, determine the mass (in Kg) of the container. (Latent heat of fusion for water = 8×104calkg, specific heat of water = 103calkg−K. Answer upto 2 decimal places.
Answer» 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 $\frac{c a l}{k g - K}$ and B = $2 \times 10^{- 2} \frac{c a l}{k g - K^{2}}$ . If the final temperature of the container is $27^{\circ}$ , determine the mass (in Kg) of the container. (Latent heat of fusion for water = $8 \times 10^{4} \frac{c a l}{k g}$ , specific heat of water = $10^{3} \frac{c a l}{k g - K}$ . Answer upto 2 decimal places.