The temperature distribution across a wall 1m thick at a certain time T(x)=a+b(x)+2(x)^2.where T is in 0degree, x in meters. A=900c, b= -300c/m, c= -50c/m^2. A uniform heat generation Q=1000w/m^2, and area is 10m^2, p=1600kg/m^2, k=40w/m^2, cp=4kj/kg (1) determine the rate of heat transfer entering the wall (x=0), leaving the wall (x=0)
(2) determine the rate of energy stored in the wall
(3) time rate of the temperature change at (x=0,0.25 and 0.5m)