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4.3 HEAT AND MASS TRANSFER                                                1 I 9

                       where










                      When these are derived with respect to the wavelength, and the wavelength
                      value, with the maximum value of radiation intensity, is solved for, the result
                       is Wien's law:





                      According to Wien's law, the wavelength representing the maximum point de-
                      creases with increasing temperature (Fig. 4.29).
                          The visible region of the spectrum lies between the wavelengths of 0.4 and
                      0.7 jxm. When the temperature of a body is increased, its color changes to-
                      ward smaller wavelengths—in other words, from the red region of the spec-
                      trum to the blue region.
                      4.3.5.2 Emissivity and Absorption
                          Suppose two objects are in a hollow (Fig. 4.30): object A, which is black,
                      and object B, which is gray (a body that does not absorb all the incoming radi-
                      ation). The energy and mass are in balance when the temperatures of A, B,
                      and C are equal. In the balanced state the radiation emitted by the bodies is
                      equal to the radiation received.
                          The radiation density in C is in constant balance at all points and in all di-
                      rections (for a given frequency). The radiation density is

























                      FIGURE 4.29  Radiation intensity of a blackbody as a function of wavelength (temperature parameter).
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