Question

“Bellatrix” (γ Orionis; HD 35468) is a bright star in the constellation Orion and has the following properties:

Surface Temperature = 22,000 K

Radius = 6.0 R⊙

Mass = 8.5 M ⊙

(a) Calculate the luminosity of Bellatrix in terms of Solar luminosities ( ).

(b) Assuming that Bellatrix is powered by the proton-proton chain in its core, how much hydrogen does Bellatrix consume each second? Express your answer in units of kg.

(c) At this rate, how long would it take Bellatrix to use up its available hydrogen? As with the Sun, assume that 1/10 of the star's mass is available in the core for fusion.

Answer 1

b)

c)

Here I have taken the temp of sun as 5780 K and the mass of sun as 1.989E+30.

Here the solutions changes with the change in these values..

Hope you understand.

Thank you...Convey your feedback...