Answer:
The final temperature of the mixture is 21.4°C
Explanation:
Specific heat capacity of water = 1 cal/g°c
Heat loss by water = 77.1 g X 1 cal/g°c X 50.9°c = 3924.39 Cal
Latent heat of fusion of ice = 79.7 g⁻¹
Heat required to melt ice at 0°c= 22.5 g X 79.7 g⁻¹ = 1793.25 Cal
Heat gained by ice from water at a higher temperature, T°c = 22.5 X 1 X T
= 22.5T
Also heat lost by water = 77.1 X 1 X (50.9-T)cal
By calorimetric principle
Heat lost by a hot body = heat gained by a cold body
77.1 X 1 X (50.9-T) = 22.5T + 1793.25
3924.39 -77.1T = 22.5T + 1793.25
99.6T = 3924.39 - 1793.25
T = 2131.14/99.6
T = 21.4°C
Therefore, the final temperature of the mixture is 21.4°C
