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Problem Chapter 16

paul-mcintyre
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Problem Chapter 16

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  1. The ceramic coffee cup of 116g in Figure 16–16, with c=1090J/kg.Kand is initially at room temperature (24.0 °C). If 225 g of 80.3 °C coffee and 12.2 g of 5.00 °C cream are added to the cup, what is the equilibrium temperature of the system? Assume that no heat is exchanged with the surroundings, and that the specific heat of coffee and cream are the same as the specific heat of water. [Answer] Step 1: define variables Mceramic = 0.116kg; Mcream = 0.0122kg; Mcoffee =0.225kg Tceramic,initial = 24.0 °C; Tcream,initial =5°C; Tcoffee,initial =80.3°C Looking for Tfinal Step 2: find the corresponding physical model and state applicable theory According to calorimetrical theory, Qceramic + Qcream + Qcoffee = 0 Step 3: Solve the equations

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