The radiant energy incident on the earth's surface on a sunny day is roughly $900\frac{W}{m^3}$ If a house is designed that will have a circulating forced air central heating unit, and solar energy is contemplated as a heat source and backed up with a conventional electric heater. If air is to be fed at a rate of $750\frac{m}{m}in$ at $25C$ and $1$atm, and the air is to be heated $1055C$ before being discharged into the living space, and solar collector plates of dimensions $L=40m,W=30m$ are used. Assume $30\%$ of the radiant energy incident on the plates is used to heat the air. Calculate the REAT rate should be provided by the supplementary heater? Please write the steps with the formula on paper not calculation of a program