A metallic rod $$1.5m$$ long and $$2\times10^4\,m^2$$ in the area is heated at one end. The coefficient of thermal conductivity of the material of the metallic rod is $$210 Js^{-1}m^{-1}K^{-1}$$. In the steady-state, the temperature of the ends of the rod is $$373K$$ and $$263\, K$$. Calculate.