A large plane wall has a thickness L = 50 cm and thermal conductivity K = 25 W/m. K. On the left surface (x=0), it is subjected to a uniform heat flux q0 while the surface temperature To is constant. On the right surface, it experiences convection and radiation heat transfer while the surface temperature is TL = 225°C and the surrounding temperature is 25°C. The emissivity and the convection heat transfer coefficient on the right surface are 0.7 and 15 W/m^2, respectively. Required:
(a) Obtain the variation of temperature in the wall (T(x) in terms of qo, k, TL and L.
(b) Also, determine the value of heat flux (qo) and the temperature of the left surface of the wall ( at x=0).