Here is a video where I demonstrate how to find the missing temperature by applying conservation of energy to a control surface.
Calculate Steady-State Temperature
A 0.2 m thick plane wall has its temperature on one side maintained at 50oC and has a thermal conductivity of 15 W/m*k. The other side is exposed to air at 30oC with a convection coefficient of 7 W/m2*K. Determine the steady state temperature of the side exposed to the air.
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