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The coefficient of thermal conductivity of copper is $9$ times that of steel. In the composite cylindrical bar shown in the figure, what will be the temperature at the junction of copper and steel?

$67^{o} C$
$75^{o} C$
$33^{o} C$
$25^{o} C$

75^{o} C

33^{o} C

67^{o} C

25^{o} C

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Solution

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heat current along the rod will be same
$\frac{d q}{d t} = \frac{9 k A (100 - T)}{18} = \frac{k A (T - 0)}{6}$
$T = 75^{o} C$

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The coefficient of thermal conductivity of copper is 9 times that of steel. In the composite cylindrical bar shown in the figure, what will be the temperature at the junction of copper and steel?67oC75oC33oC25oC

heat current along the rod will be samedqdt=9kA(100−T)18=kA(T−0)6T=75oC

The coefficient of thermal conductivity of copper is $9$ times that of steel. In the composite cylindrical bar shown in the figure, what will be the temperature at the junction of copper and steel?

$67^{o} C$
$75^{o} C$
$33^{o} C$
$25^{o} C$

heat current along the rod will be same
$\frac{d q}{d t} = \frac{9 k A (100 - T)}{18} = \frac{k A (T - 0)}{6}$
$T = 75^{o} C$