Two slabs of thickness L₁ and L₂ and thermal conductivities k₁ and k₂ are in thermal contact with each other, as shown in the Figure below. The temperatures of their outer surfaces are T₁ and T₂, respectively, and T₂ > T₁. Derive an equation for the temperature at the interface (T), and the rate of heat transfer by conduction through the slabs (Q).