Sirius, a star in the constellation of Canis Major, is the second brightstar of

Question

Sirius, a star in the constellation of Canis Major, is the second brightstar of the northern sky (the brightis the Sun). Its surface temperature is 9880 K and its radius is 1.75 times greater than the radius of the Sun. Estimate the energy that Sirius emits every second from its surface. The radius of the Sun is about 7.0 ×108m and the energy emitted per second is about 3.9 ×1026W. Express your answer to two significant figures and include the appropriate units. The answer is NOT 1.02E28 W or 2.56E43 W

Explanation / Answer

here,

temprature , T = 9880 K

radius of sun , rs = 7 * 10^8 m

radius of sirius , r = 1.75 * 7 * 10^8

r = 1.225 * 10^9 m

the energy radiated every seccond from surface , E = sigma * T^4 * pi * r^2

E = 5.67 * 10^-8 * ( 9880)^4 * pi * (1.225 * 10^9)^2

E = 2.55 * 10^27 W

the energy that Sirius emits every second from its surface is 2.55 * 10^27 W

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