Integrate the Planck's distribution law ₂-hv/kT 8лhv³ dU |dv C³ 1- e-hv/kT to obtain the expression for energy density, U. e U = S™ (87h/c²) v³dv ehv/kT-1) = л 15 k* (2π)³ c³h³ Tª

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Chapter1: Chemical Foundations
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Integrate the Planck's distribution law
8лhv³ -hv/kT
e
dv
dU =
c³ 1-e-hv/kT
to obtain the expression for energy density, U.
π² (k² (2π)³)
U = S™ (8th/e³)_v²dv
(3)
TA
ehv/kT-1
15
c³h³
Transcribed Image Text:Integrate the Planck's distribution law 8лhv³ -hv/kT e dv dU = c³ 1-e-hv/kT to obtain the expression for energy density, U. π² (k² (2π)³) U = S™ (8th/e³)_v²dv (3) TA ehv/kT-1 15 c³h³
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