A thick wall of concrete ( density =2250kg/m3,cp=875J/kgK,k=1.4W/mK) serves as a firewall in a commercial building. A test specification in the fire code states that a uniform radiant flux of q"=10kW/m2 applied to one surface of this wall must not induce temperatures of 300C or greater after 30 minutes. a. Assume the wall is a semi-infinite solid. What depth inside the concrete wall is the analysis applicable? b. Write down the governing equation along with the initial and boundary conditions for this problem. c. Write down the solution to the problem you wrote in part b d. Does this wall satisfy the code