In a long, 30-cm square bar shown in the accompanying sketch, the left face is maintained at 40?C and the top face is maintained at 250?C. The right face is in contact with a fluid at 40?C through a heat transfer coefficient of 60 W/(m2 K) and the bottom face is in contact with a fluid at 250?C through a heat transfer coefficient of 100 W/(m2 K). If the thermal conductivity of the bar is 20 W/(mK), calculate the temperature at the 9 nodes shown in the sketch.GIVENSquare bar with two surfaces at fixed temperature and two surfaces with convective boundaryConditions

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250°C [T-40°C h=60 W/(m² K) 1 2 40°C Tb-250°C |h= 100 WI(m? K)