Answer to Question #130925 in Physical Chemistry for bassant

Question

The intensity distribution of solar radiation peaks at a wavelength of approximately 500 nm. Assuming the Sun radiates like a black body, calculate its surface temperature in K.

Answer 1

λ_peak = 500 nm = 5*10^-7 m

According to Wien's displacement law,

λ_peak = b/T, where b is constant equal to 2.898*10^-3 m*K

Therefore, T = b/λ_peak = 2.898*10^-3 / 5*10^-7 = 5.796*10³ K, or 5796 K

Answer: 5796 K