An opaque, horizontal plate has a thickness of L=21 mm and thermal conductivity k=25 W/mK. Water flows adjacent to the bottom of the plate and is at a temperature of T_infinity,w=25 C. Air flows above the plate at T_infinity,a=260 C with h_a=40W/m^2K. The top of the plate is diffuse and is irradiated with G= 1450 W/m^2, of which 435 W/m^2 is reflected. The steady-state top and bottom plate temperatures are T_t= 43 C and T_b= 35 C, respectively. Determine the transmissivity, reflectivity, absorptivity, an emmisivity 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?