Chapter 1, Problem 109AP

You leave a pastry in the refrigerator on a plate and ask your roommate to take it out before you get home so you can eat it at room temperature, the way you like it Instead, your roommate plays video games for hours. When you return, you notice that the pastry is still cold, but the game console has become hot. Annoyed, and knowing that the pastry w-ill not be good if it is microwaved, you warm up the pastry by unplugging the console and putting it in a clean trash bag (which acts as a perfect calorimeter) with the pastry on the plate. After a while, you find that the equilibrium temperature is a nice, warm 38.3 ℃. You know that the game console has a mass of 2.1 kg. Approximate it as having a uniform initial temperature of 45 ℃. The pastry has amass of 0.16 kg and a specific heat of 3.0 k J/(kg . ℃), and is at a uniform initial temperature of 4.0 ℃. The plate is at the same temperature and has a mass of 0.24 kg and a specific heat of 0.90 J/(kg . ℃). What is the specific heat of the console?