Question

You have a styrofoam container with 882 g of milk (specific heat of 3,930 j/(kg · °c)) at 43.0° and you add an 83 g chunk of ice at 0°c. Assume the liquid and water mix uniformly as the ice melts. Determine the final temperature of the mixture (in °c).

Answer 1

To determine the final temperature of the mixture, we can use the principle of conservation of energy. We can calculate the heat gained by the milk using the formula Q = mcΔT, and the heat lost by the milk using the formula Q = mLΔT. Solving these equations simultaneously will give us the final temperature of the mixture.

Step-by-step explanation:

To determine the final temperature of the mixture, we can use the principle of conservation of energy. The heat gained by the milk and ice is equal to the heat lost by the milk. We can calculate the heat gained by the milk using the formula Q = mcΔT, where m is the mass, c is the specific heat capacity, and ΔT is the change in temperature. We can calculate the heat lost by the milk using the formula Q = mLΔT, where Q is the heat, L is the latent heat of fusion, and ΔT is the change in temperature.

Let's calculate the heat gained by the milk:

Q = (882 g)(3930 J/(kg·°C))(final temperature - 43.0°C)

And the heat lost by the milk:

Q = (83 g)(333 J/g)

Solving these equations simultaneously will give us the final temperature of the mixture.