Answer:
73.73°C is the final temperature of the coffee.
Explanation:
Heat lost by the coffee = Q
Mass of the coffee = m
Volume of coffee = V =
Density of water = Density of coffee solution = d = 1 g/mL (given)
Heat capacity of the coffee is equal to that of water= c = 4.18 J/g°C
Initial temperature of the coffee =
Final temperature of the coffee = T
Heat required to melt 11 grams of melt ice = Q'
Latent heat of ice =
Heat absorbed by the ice after melting = q
Mass of ice melted into water = m' = 11 g
Heat capacity of water = c = 4.18 J/g°C
Initial temperature of water = = 0°C
Final temperature of water = T
According law of conservation of energy , energy lost by coffee will equal to heat required to melt ice and further to raise the temperature of water.
On solving we get:
T = 73.73°C
73.73°C is the final temperature of the coffee.