Consider a metal plate with one side painted black so it acts like a nearly perfect absorber of sunlight incident on this surface, while the other surface is unpainted and acts as a nearly ideal emitter. Derive algerbraic expressions for: I The net energy absorbed by the plate as a function of its temperature if sunlight is maximally concentrated onto the plate: 2 The maximum possible efficiency for converting heat extracted from the plate into electricity; 3 The maximum solar energy conversion efficiency, Iteratively, or otherwise, find the conditions giving the maximum possible values for the corresponding efficiency for an effective sun temperature of 6000K and an ambient (sink) temperature of 300K