A ceramic furnace wall may be approximated as a perfect blackbody surface of area

PHYSICS · Multi-part · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A ceramic furnace wall may be approximated as a perfect blackbody surface of area 0.20 m20.20\,\text{m}^2. Initially it operates at 1200 K1200\,\text{K}, but during a controlled heat-up its temperature is to be raised to 1800 K1800\,\text{K}. (a) Sketch qualitatively, on the same set of axes, the spectral intensity curves corresponding to the two temperatures, clearly indicating the direction of any shifts in both peak position and overall intensity. (b) Calculate the peak wavelength at each temperature. (Take b=2.9×10−3 m Kb = 2.9 \times 10^{-3}\,\text{m\,K}.) (c) Determine the factor by which the total radiant power emitted by the wall increases as the temperature changes from 1200 K1200\,\text{K} to 1800 K1800\,\text{K}. (Take σ=5.67×10−8 W m−2K−4\sigma = 5.67 \times 10^{-8}\,\text{W\,m}^{-2}\text{K}^{-4}.) (d) Find the additional radiant power (in kW) delivered to the surroundings due to the temperature increase. (e) Explain briefly how the perceived colour of the radiation leaking through a small inspection hole would change during the heat-up process.

Related theory

Browse the problem library