Physics

Problem

Two slabs, A and B, each

1.0\,\text{cm}

thick, are firmly joined to form a composite wall. The thermal conductivities are

k_A = 0.04\,\text{W m}^{-1}\text{K}^{-1}

and

k_B = 0.12\,\text{W m}^{-1}\text{K}^{-1}

. The outer faces are maintained at

100^{\circ}\text{C}

and

0^{\circ}\text{C}

, respectively. Assuming steady-state one-dimensional conduction and neglecting edge effects, the temperature at the interface of the two slabs is closest to a)

50^{\circ}\text{C}

75^{\circ}\text{C}

25^{\circ}\text{C}

33^{\circ}\text{C}

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