$12-29$ A thin vertical copper plate is subjected to a uniform heat flux of $1000\frac{W}{m^2}$ on one side, while the other side is exposed to ambient surrounding at $5C.$ The surface of the plate is oxidized black and can be treated as a blackbody. The heat transfer coefficient due to natural convection on the plate surface is $5\mathrm{.}3\frac{W}{m^2}*K.$ Determine the surface temperature of the plate. Discuss the contribution of the net radiation heat transfer on the total heat loss from the plate.

FIGURE P$1229.$ List all givens and assumptions please