A 1500-W hotplate is used to heat up a 1.04kg aluminum pot filled with 1.22kg of water and a 0.855kg lead mass for 5 minutes. If the initial temperature of the system was 72 degrees F, find the final equilibrium temperature. Assume that all the energy of the hot plate goes into the system. (C water = 4180 J/kg*K , C aluminum - 910 J/kg*K, C lead = 160 J/kg*K).

In an experiment measuring the latent heat of fusion of water, the following procedure was followed. Ice cube of mass 35.0 g at an initial temperature of 0.0°C is dropped into 225.0 g of 65.0°C water in an aluminum container. The mass of the aluminum container is 44 .0 g and the final equilibrium temperature is 46.0℃. Determine whether any heat is lost or gained in this experiment to the environment. If yes, how much? (For water: c = 1.00 cal/g×°C and Lf = 77.9 cal/g; for Al: c = 0.215 cal/g×°C

Suppose that you have left a 200 mL cup of coffee sitting until it has cooled to 30◦ C, which you find totally unacceptable. Your microwave oven draws 1100W of electrical power when it is running. If it takes 45s for this microwave oven to raise the temperature of the coffee to 60◦ C, what is the efficiency of heating with this oven? You will need to use the fact that 4.2 J of energy is required to raise the temperature of 1.0 mL of coffee by 1.0◦ C.

An ideal gas is heated at a constant pressure of 1.80 x 10 Pa from a temperature of -73.0°C to a temperature of +27.0°C. The initial volume of the gas is 0.100 m³. The heat energy supplied to the gas in this process is 40.0 kJ. What is the increase in internal energy of the gas? -8.95:kJ