An air-conditioned room has one of the walls, which is $$5m \times 3m$$ of 3.75 cm thick brick. The conditioned space is maintained at $$27^\circ C$$ when the outside temperature is $$47^\circ C$$. Variation of thermal conductivity with temperature of the wall is given by $$k = 1 + 2 \times 10^{-4}T, where T is in degree Kelvin, and k is in $$W/m^\circ K$$. The heat gained by the conditioned space through this wall is