Consider a flat wall of thickness L $=0\mathrm{.}3$m$,$ whose thermal conductivity k $=2\mathrm{.}5$ W$/$mk$.$ And the surface area $=12$m$^2,$ the left side of the wall is subject to a heat flux of $700$ w$/$m$^2$ at the same time on that surface the temperature T$1=80$ C$.$ Assume isotropic material, steady flow, no There is internal generation of heat, one$-$dimensional flow.

Determine:

a$)$ The value of the temperature when x$=$ L$/2$; x$=$L