The dark surface of a ceramic stove top may be approximated as a blackbody. The "burners," which are integral with the stove top, are heated from below by electric resistance heaters.

  (a) Consider a burner of diameter D = 200 mm operating at a uniform surface temperature of T_S = 250°C in ambient air at T_∞ = 20°C. Without a pot or pan on the burner, what are the rates of heat loss by radiation and convection from the burner? If the efficiency associated with energy transfer from the heaters to the burners is 90%, what is the electric power requirement? At what wavelength is the spectral emission a maximum?

  (b) Compute and plot the effect of the burner temperature on the heat rates for 100 < T_S < 350°C.