Your high-powered microwave oven heats a frozen dinner to a temperature of 180.0°C, which you find is too hot to eat comfortably. To cool the dinner, you place a 0.250 kg frozen dinner (mostly solid) at 180.0°C into a 0.450-kg ceramic plate that is initially at room temperature (25.0°C). What is the final temperature of the dinner and plate? Assume that the dinner and plate are thermally isolated. Express your answer in degrees Celsius.
Assume:
Specific heat capacity of the frozen dinner (cdinner): 2090 J/(kg°C)
Specific heat capacity of the ceramic plate (cceramic): 840 J/(kg°C)