1) a) 5.0 kg of water at 80 C and 2.0 kg of water at 20 C are in different containers separated by two joined metal plates, one made of steel and one made of copper. The two plates are rectangular and measure 0.50 m high by 0.40 m long. The thickness of the plates is 2.0 cm. Assuming thermal conduction, calculate the rate (dT/dt) at which the temperature of each container is changing as a function of time at that instant. These cups are not the same.

1) b) An ABCA cyclic process is shown below. Path AB is an adiabatic expansion. Path BC is an isothermal compression. The temperature in the isothermal path is 300K and we have 200 moles of monatomic ideal gas in the container. The pressure at point B is 3.0x105Pa and the volume at point C is 0.5 m3.

a) Calculate the total heat that enters or leaves the system in one cycle.
b) Calculate the change in internal energy of the gas in the path CA.

 

P A C B V