A long conducting rod of rectangular cross section $)$ and thermal conductivity $k=15\frac{W}{m}*K$

experiences uniform heat generation at a rate $q^{}=3{10}^7\frac{W}{m^3},$ while its surfaces are maintained at $20$ C $.$

Using a finite$-$difference method with a grid spacing of $5$ mm $,$ determine the temperature distribution in the rod.

Enter the hottest temperature in C below.

correct answer is estimated to be $98\mathrm{.}4242\backslash$deg C