A thin metal plate has one large insulated bottom surface and the top large surface exposed to solar radiation at a rate of \(600 \mathrm{~W} / \mathrm{m}^{2}\). The surrounding air temperature is \(20^{\circ} \mathrm{C}\). Determine the equilibrium surface temperature of the plate if the convection heat transfer coefficient from the plate surface is \(20 \mathrm{~W} / \mathrm{m}^{2} \mathrm{~K}\) and the emissivity of the top surface of the plate is 0.8 .