PROBLEM $2$

Consider a $5-m-$high, $8-m-$long, and $0\mathrm{.}22-$m$-$thick wall whose representative crosssection is as given in the figure. The thermal conductivities of various materials used, in $\frac{W}{m}C,$ are $k_A=k_F=2,k_B=8,k_C=20,k_D=15,$ and $k_E=35.$ The left and right surfaces of the wall are maintained at uniform temperatures of $300C$ and $100C,$ respectively. Assuming heat transfer through the wall to be one$-$dimensional, determine $($a$)$ the rate of heat transfer through the wall; $($b$)$ the temperature at the point where the sections B$,$ D$,$ and E meet; and $($c$)$ the temperature drop across the section F$.$ Disregard any contact resistances at the interfaces.

$190(kW)$;$261\mathrm{.}4C$;$142\mathrm{.}5C$

$100C$