A composite wall separates combustion gases at \(2400^{\circ} \mathrm{C}\) from a liquid coolant at \(100^{\circ} \mathrm{C}\), with gas and liquid-side convection coefficients of 25 and \(1000 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\). The wall is composed of a 12-mm-thick layer of beryllium oxide on the gas side and a 24-mm-thick slab of stainless steel (AISI 304) on the liquid side. The contact resistance between the oxide and the steel is \(0.05 \mathrm{~m}^{2} \cdot \mathrm{K} / \mathrm{W}\). What is the rate of heat loss per unit surface area of the composite? Sketch the temperature distribution from the gas to the liquid.