A wall is of two layers P and Q each made of different material . Both the layers have same thickness . The temperature difference between the wall is `36^(@)C`. What is the temperature difference across the layer P ?

Explanation

For layer P , `A = A_(1), l = l_(1) , K = k_(1)`
For layer Q , `A = A_(2) , l = l_(2), K = k_(2)`
Given `l_(1) = l_(2),A_(1) = A_(2) , K_(1) = 2K_(2)`
Let `theta` be the temperature at the junction two layers and `theta_(1), theta_(2)` are the temperature at the end faces of P and Q .
Given `theta_(1) = theta_(2) = 36^(@)C`
under thermal euqilibrium `(Q)/(t) = (k_(1)a_(1)(theta_(1) = theta))/(l_(1)) = (k_(2)A_(2) (theta - theta_(2)))/(l_(2))`