The temperature distribution across a wall 1m thick at a certain instant of time is given as T(x)=a+bx+cx2 where T is in degrees Celsius and x is in meters, while a=900C,b=300C/m, and c=50C/m2. A uniform heat generation, q=1000W/m3, is present in the wall of area 10m2 having the properties =1600kg/m3,k=40W/mK, and cp=4kJ/kgK. 1. Determine the rate of heat transfer entering the wall (x=0) and leaving the wall (x=1m). 2. Determine the rate of change of energy storage in the wall. 3. Determine the time rate of temperature change at x=0,0.25, and 0.5m