A cubical piece of heat-shield tile from the space shuttle measures 0.09 m on a

Question

A cubical piece of heat-shield tile from the space shuttle measures 0.09 m on a side and has a thermal conductivity of 0.070 J/(s m · C°). The outer surface of the tile is heated to a temperature of 1068° C, while the inner surface is maintained at a temperature of 18.8° C
How much heat flows from the outer to the inner surface of the tile in six minutes?

If this amount of heat were transferred to two liters (2.0 kg) of liquid water, by how many Celsius degrees would the temperature of the water rise?

Explanation / Answer

heat = time * k A deltaT / x =

= 360 * 0.070 * 0.09*0.09 * (1068-18.8) / 0.09 =

= 2379.6 Joules

temp rise = heat / mass * c = 2379.6 / 2.0 * 4186 =

= 0.284 deg C

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