A cubical piece of heat-shield-tile from the space shuttle measures 0.15 m on a side and has a thermal conductivity of 0.065J/(s·m·C°). The outer surface of the tile is heated to a temperature of 1240°C, while the inner surface is maintained at a temperature of 21°C.
a) How much heat flows from the outer to the inner surface of the tile in4.0 minutes?
b) If this amount of heat were transferred to 2.2 liters (2.2 kg) of liquid water, by how many Celsius degrees would the temperature of the water rise?