A large plate of 0.5 m thickness and constant thermal conductivity of k=60 W/m⋅K in which heat is generated uniformly at a rate of 2 kW/cm3 . One side of the plate is heavily insulated so that there is no heat loss from the insulated side of the plate. The other side of the plate is exposed to the environment at T∞= 25oC with convection heat transfer coefficient is 20 W/m2⋅K. 

a) Express the differential equation and the boundary conditions for steady operating conditions. 

b) Determine the variation of temperature in the plate. 

c) Find the inner and outer surface temperatures of plate