2. A thin sheet metal is insulated on its rear face, and its front face is exposed to solar radiation. The exposed surface of the sheet has 0.8 absorbency for solar radiation. If this radiation strikes the plate with a power of 450 W/m2, and the surrounding air temperature is 25 C.

a) Determine the temperature of the plate, when the heat loss by convection is equal to the solar energy absorbed by the plate. Assume that the convective heat transfer coefficient is 50 W/m2 C, and neglect heat loss by radiation.

b) Determine the effect of the convective heat transfer coefficient on the surface temperature of the plate. Vary the heat transfer coefficient from 10 to 90, as shown in the table. Plot the graph of the surface temperature as a function of the convective heat transfer coefficient. Argue the results.