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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 L of hot tea and leave it to steep until it has reached a temperature of Tea = 75.0 C. You then add 0.975 kg of ice taken from the freezer at a temperature of Tice = 0 C. By the time the mix reaches equilibrium, all of the ice has melted. What is the final temperature T} 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 c = 4190 J/kg -C. * The heat of fusion of ice is Lp= 3.33x10 J/kg . * The density of the tea is Ptea = 1.00 kg/L . PROBLEM-SOLVING STRATEGY 12.1 Calorimetry problems When two systems are brought into thermal contact, we use calorimetry to find the heat transferred between them and their final equilibrium temperature. PREPARE Identify the individual interacting systems. Assume that they are isolated from the environment. List the known information and identify what you need to find. Convert all quantities to SI units. SOLVE The mathematical representation, which is a statement of energy conservation, is Gait Qton=0 For systems that undergo a temperature change, Qar = Mc(T; = Tj). Be sure to have temperatures T; and Ty in the correct order. For systems that undergo a phase change, Qphase = +ML. Supply the correct sign by observing whether energy enters or leaves the system during the transition. Some systems may undergo both a temperature change and a phase change. Treat the changes separately. The heat energy is Q = Qar + Qphase - ASSESS The final temperature should be between the initial temperatures. A T; that is higher or lower than all initial temperatures indicates that something is wrong, usually a sign error. PREPARE Start by identifying the interacting systems and how they change. Then list the known and unknown quantities. v PartA What are the interacting systems in this problem? the ice and the tea the ice, the tea, and the freezer the ice, the tea, and the teapot the ice, the tea, the teapot, and the freezer