Question

A crucible (container) of molten metal has an open top with an area of 5.000 m^2. The molten metal acts as a blackbody radiator. The intensity spectrum of its radiation peaks at a wavelength of 320 nm. What is the temperature of that blackbody?

Answer 1

T = 9056 K

Step-by-step explanation:

In the exercise they indicate that the body can be approximated by a black body, for which we can use the Wien displacement relation

λ T = 2,898 10⁻³

where lam is the wavelength of the maximum emission

T = 2,898 10⁻³ /λ

let's calculate

T = 2,898 10⁻³ / 320 10⁻⁹

T = 9.056 10³ K

T = 9056 K