The temperature distribution across a wall 0.3m thick ata certain instant of time is T(x)=a+bx+cx^2, where T is in degrees Celsius and x is in meters, a=200 °C, b=-200 °C/m, and c=30 °C/m^2. The wall has a thermal conductivity of 1W/m ·K. Required:
a. On a unit surface area basis, determine the rate ofheat transfer into and out of the wall and the rateof change of energy stored by the wall.
b. If the cold surface is exposed to a fluid at 100 °C, what is the convection coefficient?