$11\mathrm{.}4$ A room $3m4m3m$ high with an opening in a wall $2m2m$ contains hexane fuel, which can burn in pools on the floor. The ambient temperature is $25C.$ The heat of combustion for hexane is $43\mathrm{.}8k\frac{J}{g}.$ The construction material of the room is an insulator which responds quickly, and thus has a constant effective heat loss coefficient, $h_k=0\mathrm{.}015k\frac{W}{m^2}K.$ Use this to compute the overall heat loss to the room.