Question

The radius of the Sun is 6.96 x 108 m and the distance between the Sun and the Earth is roughtly 1.50 x 1011 m. You may assume that the Sun is a perfect sphere and that the irradiance arriving on the Earth is the value for AMO, 1,350 W/m2. Calculate the temperature at the surface of the Sun.

Answer 1

Answer:

5766.7 K

Explanation:

We are given that

Radius of Sun , R=$6.96\times 10^{8} m$

Distance between the Sun and the Earth, D=$1.50\times 10^{11}m$

Irradiance arriving on the Earth is the value for AMO=$1350W/m^2$

We have to find the temperature at the surface of the Sun.

We know that

Temperature ,T=$(\frac{K_{sc}D^2}{\sigma R^2})^{\frac{1}{4}}$

Where $K_{sc}=1350 W/m^2$

$\sigma=5.67\times 10^{-8}watt/m^2k^4$

Using the formula

$T=(\frac{1350\times (1.5\times 10^{11})^2}{5.67\times 10^{-8}\times (6.96\times 10^{8})^2})^{\frac{1}{4}}$

T=5766.7 K

Hence, the temperature at the surface of the sun=5766.7 K