Q$2.(40$ points$)$ A wall $40$ mm thick has its surfaces maintained at $0C$ and $100C.$ The heat generation rate is $3\mathrm{.}25{10}^5\frac{W}{m^3}.$ If the thermal conductivity of the materiat is $2\frac{W}{m}k,$ write the governing equation and a set of boundary conditions for the problem. Find the femperature distribution in the wall and then determine the temperature at the mid plane, the location and value of the maximum temperature and the heat flux at either end.