A bar of thermal conductivity \(k=140 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\) is of a trapezoidal cross section as shown in the schematic. The left and right faces are at temperatures \(T_{h}=\) \(100^{\circ} \mathrm{C}\) and \(T_{c}=0^{\circ} \mathrm{C}\), respectively. Determine the heat transfer rate per unit bar length using a finite difference approach with \(\Delta x=\Delta y=10 \mathrm{~mm}\). Compare the heat rate to that of a bar of a \(20 \mathrm{~mm} \times 30 \mathrm{~mm}\) rectangular cross section where the height of the domain is \(20 \mathrm{~mm}\).

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