2 kg of ice at −20∘C is mixed with 5 kg of water at 20∘C in an insulating vessel having a negligible heat capacity. Calculate the final mass of water remaining in the container. It is given that the specific heats of water and ice are 1 kcalkg−1∘C−1 and 0.5 kcalkg−1∘C−1 while the latent heat of fusion of ice is 80 kcal/kg.

2 kg of ice at −20∘C is mixed with 5 kg of water at 20∘C in an i

1.	2 kg of ice at −20∘C is mixed with 5 kg of water at 20∘C in an insulating vessel having a negligible heat capacity. Calculate the final mass of water remaining in the container. It is given that the specific heats of water and ice are 1 kcalkg−1∘C−1 and 0.5 kcalkg−1∘C−1 while the latent heat of fusion of ice is 80 kcal/kg.
Answer» $2 kg$ of ice at $- 20^{\circ} C$ is mixed with $5 kg$ of water at $20^{\circ} C$ in an insulating vessel having a negligible heat capacity. Calculate the final mass of water remaining in the container. It is given that the specific heats of water and ice are $1 kcal {kg}^{- 1} {^{\circ} C}^{- 1}$ and $0.5 kcal {kg}^{- 1} {^{\circ} C}^{- 1}$ while the latent heat of fusion of ice is $80 kcal/kg$ .