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? $)=8\mathrm{.}314(Pa),\frac{m^3}{m}ol.K,C_{p(air)}=1\mathrm{.}005\frac{kJ}{k}gK,1(atm)=({1\mathrm{.}015}^{**}{10}^5(Pa).$