The length of the copper rod is .
The diameter of the copper rod is .
The one end is kept at .
The othe end of the copper rod is immersed in water at .
Find the heat conduction rate along the rod.
\The rate of conduction is , where
is the thermal conductivity of the material,
is the cross section area,
is the higher temperature,
is the cooler temperature and
is the distance between two ends.
Thermal conductivity of copper is .
Assume that the rod has uniform thickness.
\The cross sectional area of the rod is .
Substitute .
.
The cross sectional area is .
Substitute ,
,
,
and
in
.
.
The heat conduction rate along the rod is .