A long metal bar has a rectangular cross section. There is no volumetric heat generation and the material has constant properties. The rectangular cross section has an aspect ratio of $1\mathrm{.}5$ : it is $1\mathrm{.}5$ times longer in the $\backslash ($ x $\backslash )$ direction than in the $\backslash ($ y $\backslash )$ direction. The domain is divided into a total of $12$ equally$-$spaced nodes. The upper surface is maintained at a constant temperature of $650$ K $,$ the left and lower surfaces are both maintained at a temperature of $300$ K $,$ and the right surface is maintained at a temperature of $455$ K $.$ Find the temperatures of the two internal nodes under steady conditions. Node numbering is such that the node in the bottom left corner is $(1,1)$ so the two nodes of interest are $(2,2)$ and $(3,2).$ Give your answer to the nearest whole number in Kelvin $($i$.$e$.$ if your answer is $52\mathrm{.}4,$ type $52$ into the box$).$