A typical home may require a total of 2.00*10^3kWh of energy per month. Suppose you would like to obtain this energy from sunlight, which has an average daylight intensity of 1200W/m^2. Assuming that sunlight is available 8.0 h per day, 25 d per month (accounting for cloudy days), and that you have a way to store energy from your collector when the Sun isn't shining, determine the smallest collector size that will provide the needed energy, given a conversion efficiency of 27% .