Q$2(5$ Marks$)$: Consider the plate with a thickness $L=0\mathrm{.}6cm$ and thermal conductivity of $k=20\frac{W}{m}*C.$ The inner surface at $x=0$ is subjected to uniform heat flux $q=75{10}^3\frac{W}{m^2}$ while the outer surface at $x=L$ is subjected to constant temperature $T2=85C.$ For steady one$-$dimensional heat conduction, obtain a relation for the variation of temperature in the plate, and evaluate the inne surface temperature.