# Problem No. 8 (15 points)

50 g of ice, taken at a temperature of $t_{\pi}=-10{ }^{\circ} \mathrm{C}$, was mixed with water taken at a temperature of $t_{B}=10{ }^{\circ} \mathrm{C}$. It is known that the final temperature in the container is $t=0{ }^{\circ} \mathrm{C}$. Determine the mass of the added water. The specific heat capacity of water $c_{B}=4200$ J $/$ kg $\cdot{ }^{\circ} \mathrm{C}$, the specific heat capacity of ice $c_{л}=2100$ J $/$ kg $\cdot{ }^{\circ} \mathrm{C}$, the latent heat of fusion of ice $\lambda=3,3 \cdot 10^{2}$ J/kg

Answer: $0,0028 \kappa g \leq m_{B} \leq 0,418$ kg