Electrically heated draw batch furnaces are commonly used in the heat treatment industry. Consider a draw batch furnace front made of a 20mm thick steel plate with a thermal conductivity of 25W/mK. The furnace is situated in a room with surrounding air temperature of 20C and an average convection heat transfer coefficient of 10W/m^2K. If the inside surface of the furnace front is subjected to uniform heat flux of 5kW/m^2 and the outer surface has an emissivity of .30, determine the inside surface temperature of the furnace front.