Question

In: Physics

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

A cubical piece of heat-shield-tile from the space shuttle measures 0.09 m on a side and has a thernal conductivity of 0.065 J/(s m C°). The outer surface of the tile is heated to a temperature of 1,219°C, while the inner surface is maintained at a temperature of 24°C.

(a) How much heat flows from the outer to the inner surface of the tile in 7.8 minutes?

Number: __________  Units: __________

(b) If this amount of heat were transferred to 3.2 litres (3.3 kg) of liquid water, by how many Celsius degrees would the temperature of the water rise?

Take cwater = 4186 J/kg

Number: __________  Units: __________

Solutions

Expert Solution

Solution of (a):

Thermal conductivity of cubical piece
Side length of the of cubical piece
Area of cubical piece
Inner temperature
Outer temperature
Time taken to flow the temperature
Specific heat of water
Mass of water

Heat transfer is given by:

Solution of (b):

The heat

Therefore, the temperature of water rises by if heat is transferred to of water.


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