A solar collector receiving solar radiation at the rate of 0.6kW/m2 transforms it to the internal energy of a fluid at an overall efficiency of 50%. The fluid heated to 350 K is used to run a heat engine which rejects heat at 313 K. If the heat engine is to deliver 2.5 kW power, then minimum area of the solar collector required would be
(a) 8.33$m^{2}$ (b) 16.66$m^{2}$
(c) 39.68$m^{2}$ (d) 79.36$m^{2}$