$2\mathrm{.}19$ A $30m^2$ flat plate solar collector is absorbing radiation at a rate of $900\frac{W}{m^2}.$ The environment temperature is $25C$ and the collector emissivity is $0\mathrm{.}85.$ Neglecting conduction and convection losses, calculate the equilibrium temperature of the collector and the net radiation exchange with the surroundings.