An electric heater with a capacity P is used to heat air in a spherical chamber. The inside radius is outside radius and the conductivity is k. At the inside surface heat is exchanged by convection. The inside heat transfer coefficient is T∞. Heat loss from the outside surface is by radiation. The surroundings temperature is and the surface emissivity is Tsur H. Assuming one-dimensional steady state conduction, use a simplified radiation model to determine:
[a] The temperature distribution in the spherical wall.
[b] The inside air temperatures for the following conditions: