GATE MT 2014 Q45. Consider a steady state heat flux across a rectangular slab composed of two layers of equal width as shown in the figure below. The thermal conductivities are in the ratio of ππ2 ππ1 = 10. If the first layer experiences a temperature drop (ππ1 β ππ2) of 50 K, what is the temperature drop (ππ2 β ππ3), in K, across the second layer? _______

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Correct answer is 5. As we know that, Q1= Q2 K1(dT1/dx1) = K2(dT2/dx2) dx1Β = dx2 βdT2Β = K1/ K2 (dT1) = 50/10 = 5

Correct answer is 5.

As we know that, Q

_{1}= Q_{2}K

_{1}(dT_{1}/dx_{1}) = K_{2}(dT_{2}/dx_{2})dx

_{1Β }= dx_{2}βdT

_{2Β }= K_{1}/ K_{2}(dT_{1}) = 50/10 = 5