astronomy question. help?

[no shenanigans]

if there's a star with the same surface area as the sun but has the twice the energy. what will be the temperature of the star

 

[ronwizfr]

I think you mean that the star has twice the luminosity as the Sun, instead of the energy.

In that case we can apply that luminosity L is proportional to Area*T^4, or
L_star/L_Sun = Area_star/Area_Sun * (T_Star/T_Sun)^4

So we have that 2 = 1* (T_Star/T_Sun)^4 or T_Star = 2^(1/4) T_Sun
= 1.189 * 5780K = 6874 K

 

[Jem]

twice that of the sun?

 

[Jaggu]

That depends on Energy source of that star. For Eg. Helium is the Energy
source of The Sun. In molecular infusion that gives 24FTP energy.

 

[epctrust]

really hot