A plane wall 7.5 cm thick, generates heat internally at the rate of 105 W/m3. One side

Question:

A plane wall 7.5 cm thick, generates heat internally at the rate of 105 W/m3. One side of the wall is insulated, and the other side is exposed to an environment at 90?C. The convective heat transfer coefficient between the wall and the environment is 500W/(m2 K). If the thermal conductivity of the wall is 12 W/(m K), calculate the maximum temperature in the wall.GIVENPlane wall with internal heat generationThickness (L) = 7.5 cm = 0.075 mInternal heat generation rate ( qG ) = 105 W/m3One side is insulatedAmbient temperature on the other side (T??) = 90 ?CConvective heat transfer coefficient ( hc ) = 500 W/(m2 K)Thermal conductivity (k) = 12 W/(m K)ASSUMPTIONSThe heat loss through the insulation is negligibleThe system has reached steady stateOne dimensional conduction through thewall