An opaque, horizontal plate has a thickness of L = 21 mm and thermal conductivity k = 25 W/m ∙ K. Water flows adjacent to the bottom of the plate and is at a temperature of T∞,w = 25°C. Air flows above the plate at T∞,a = 260°C with ha = 40 W/m2 ∙ K. The top of the plate is diffuse and is irradiated with G = 1450 W/m2, of which 435 W/m2 is reflected. The steady-state top and bottom plate temperatures are Tt = 43°C and Tb = 35°C, respectively. Determine the transmissivity, reflectivity, absorptivity, and emissivity of the plate. Is the plate gray? What is the radiosity associated with the top of the plate? What is the convective heat transfer coefficient associated with the water flow?