Learning Goal:To practice Problem-Solving Strategy 12.1 Calorimetry problems.

On a hot summer day, you decide to make some iced tea. First, you brew 1.50 LL of hot tea and leave it to steep until it has reached a temperature of TteaTteaT_tea = 75.0 CC. You then add 0.975 kgkg of ice taken from the freezer at a temperature of TiceTiceT_ice = 0 CC. By the time the mix reaches equilibrium, all of the ice has melted. What is the final temperature TfTf of the mixture?

For the purposes of this problem, assume that the tea has the same thermodynamic properties as plain water.

• The specific heat of water is ccc = 4190 J/kgCJ/kgC.
• The heat of fusion of ice is LfLfL_f = 3.3310⁵ J/kgJ/kg .
• The density of the tea is teatearho_tea = 1.00 kg/Lkg/L .

Find the equilibrium temperature TfTfT_f of the system.