Two plates A and B have thermal conductivities 84   W   m - 1   K - 1 and 126   W   m - 1   K - 1 respectively. They have same surface area and same thickness. They are placed in contact along their surfaces. If the temperatures of the outer surfaces of A and B are…

Question

Two plates A and B have thermal conductivities 84 &#160; W &#160; m - 1 &#160; K - 1 and 126 &#160; W &#160; m - 1 &#160; K - 1 respectively. They have same surface area and same thickness. They are placed in contact along their surfaces. If the temperatures of the outer surfaces of A and B are kept at 100 &#8728; C and 0 &#8728; C respectively, then the temperature of the surface of contact in steady state is_____ C &#8728; .

Aicharya · Accepted Answer

Let the temperature of the contact surface be $T$ ,
So, $H_{A} = H_{B}$
$\frac{K_{A} A' (T_{A} - T)}{L} = \frac{K_{B} A' (T - T_{B})}{L} \Rightarrow 84 (100 - T) = 126 (T - 0) \Rightarrow 2 (100 - T) = 3 T \Rightarrow T = 40 ° C$

Two plates A and B have thermal conductivities 84   W   m - 1   K - 1 and 126   W  …

Solution

Two plates A and B have thermal conductivities 84 &#160; W &#160; m - 1 &#160; K - 1 and 126 &#160; W &#160;…

Solution

Two plates A and B have thermal conductivities 84 W m - 1 K - 1 and 126 W …