A small metal cube with a thermal mass mC and an initial temperature 0 is dropped into a container of water that is actively maintained at a constant temperature W. The cube quickly comes to rest on the bottom surface of the container. The bottom surface is maintained at a constant temperature B (note that this is different from W ). The thermal resistance between the cube and the water is RCW while the thermal resistance between the bottom surface of the container and the cube is RCB. The temperature of the cube is denoted by C. a) Draw the system schematic indicating the assumed directions of the heat transfer rates. Label all the nodes and system parameters. b) Derive the governing equation for the temperature of the cube, C. c) Where does 0 appear in the system schematic and how does it affect the governing equations? d) Calculate the steady-state temperature of the cube, CSS, assuming the following system parameters: 0=21oC,B=6oC,W=0oC,RCW=2oC/W,andRCB=4oC/W