# Problem No. 8 (15 points)

$100 \, \text{g} \, p$ of ice, taken at a temperature of $t_{n}=-5^{\circ} \text{C}$, was mixed with water taken at a temperature of $t_{B}=10^{\circ} \text{C}$. It is known that the final temperature in the container is $t=0^{\circ} \text{C}$. Determine the mass of the added water. The specific heat capacity of water $c_{s}=4200 \, \text{J/kg} \cdot{ }^{\circ} \text{C}$, the specific heat capacity of ice $c_{n}=2100 \, \text{J/kg} \cdot{ }^{\circ} \text{C}$, and the latent heat of fusion of ice $\lambda=3.3 \cdot 10^{5} \, \text{J/kg}$.

Answer: $0.0028 \, \text{kg} \leq m_{B} \leq 0.811 \, \text{kg}$