Two slabs A and B of different materials but of the same thickness are joined $$end-$$ $$to-end$$ to form a composite slab. The thermal conductivities of A and B are $$K1$$ and $$K2$$, respectively. A steady temperature difference of $$120C$$ is maintained across the composite slab. If $$K1=K22$$ the temperature difference across slab A is

Question

Two slabs A and B of different materials but of the same thickness are joined $$end-$$ $$to-end$$ to form a composite slab. The thermal conductivities of A and B are $$K1$$ and $$K2$$, respectively. A steady temperature difference of $$120C$$ is maintained across the  composite slab. If $$K1=K22$$  the temperature difference across slab A is

Infinity Learn · Accepted Answer

The given situation can be shown as below. Rate of flow of heat will be equal in both the slabs,$$(12$$−$$x)K1=K2(x$$−$$0)12$$−$$x=2x$$⇒ $$x=40C$$    ∵$$K1=K22The$$ temperature difference across slab,$$A=(12$$−$$x)=(12$$−$$4)=8$$∘C

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material