The blackbody radiation emitted from a furnace peaks at a wavelength of 7.3 10-6 m (0.0000073 m). What is the temperature inside the furnace?

Question

The blackbody radiation emitted from a furnace peaks at a wavelength of 7.3  10-6 m (0.0000073 m). What is the temperature inside the furnace?

Laura C. · Accepted Answer

Wien's law gives the relationship between peak wavelength and temperature: $\lambda _{\text{peak}}={\frac {b}{T}}$

where b is the proportionality constant = 2.898×10⁻³ m⋅K

So a peak wavelength of 7.3x10⁻⁶ m corresponds to temperature of 396.96 K.

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