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The Eddington luminosity is dependent on the mass of a star. If

the maximum mass of stars in the universe is 100 solar masses,
calculate the maximum luminosity of stars in the universe.

User Linyun Liu
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Answer:

The Eddington luminosity can be calculated using the formula:

L = 4πGMc / κ

where L is the Eddington luminosity, G is the gravitational constant, M is the mass of the star, c is the speed of light, and κ is the opacity of the star's material.

Assuming a typical opacity value of κ = 0.34 cm^2/g and a maximum mass of 100 solar masses (M = 100 M☉), we can calculate the maximum Eddington luminosity as follows:

L = 4πGMc / κ

L = 4π(6.67 × 10^-11 m^3/kg s^2)(100 M☉)(1.99 × 10^30 kg/M☉)(3 × 10^8 m/s) / (0.34 cm^2/g)(10^-4 m^2/cm^2)(1000 g/kg)

L ≈ 1.26 × 10^39 W

Therefore, the maximum luminosity of stars in the universe is approximately 1.26 × 10^39 watts.

User Sandcar
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