Answer to Question #127056 in Physical Chemistry for INDRAJIT SOMNATH WADGAVE

Question

The intensity distribution of solar radiation peaks at a wavelength of approximately 500 nm. Assuming the Sun radiates like a black body, calculate the flux of photons leaving the sun in W/m2.

Answer 1

According to Stefan-Boltzmann law the emittance radiation( R ) is evaluated using the following formula;

$R\ =\ \sigma\ \lparen \dfrac{b}{\lambda_{max}}\rparen^4$

$\sigma=5.67\ *10^{-8}W/(m^2K^2)$

$b\ =2.90\ *10^{-3}mK\newline \lambda_{max}= 500nm$

Substituting we get

$R\ =5.67\ *10^{-8}\ \ \lparen\dfrac{2.9\ *10^{-3}}{500 nm}\rparen^4$

$R=6.4\ *10^7W/m^2$