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The chart shows characteristics of stars. A 3 column table with 7 rows. The first column is labeled color with entries red, orange, yellow to white, white, white to blue, blue, blue. The second column is labeled surface temperature in Kelvin with entries greater than 25000, 11000 to 25000, 7500 to 11000, 6000 to 7500, 5000 to 6000, 3500 to 5000, under 3500. The last column is labeled average mass in solar mass units with entries 60, 18, 3.2, 1.7, 1.1, 0.8, 0.3. Sirius is a blue-white star with a surface temperature of about 9800 K. What is most likely the mass of Sirius? 1.0 solar mass 1.4 solar mass 2.0 solar mass 12 solar mass

Sagot :

Sirius is a blue-white star, expressing -1.5 magnitude, 9800ºK of temperature, and located 8.6 light-years from the Earth. Its mass is 2 solar mass. Option C.

What is Sirius?

Sirius seems to be one of the most brilliant stars in the sky. It shines with a magnitude of -1.5, being only superated by the moon, the sun, and some planets -Venus and Jupiter-.

Sirius is a blue-white star, 25 times more luminous than the sun, its mass is twice the sun's mass, and its temperature reaches approximately 10000 K. It is the fifth star closer to the Earth, located at a distance of 8.6 light-years.

Sirion is visible from almost every place around the world, excepting latitudes higher than 73º N. It can be seen in the Canis Major constellation. It is also easily identified by looking down from the Orion belt.

Color                 Surface temperature (ºK)      Average mass

red                                 > 25000                             60

orange                      11000 to 25000                      18

yellow-white             7500 to 11000                        3.2

white                         6000 to 7500                         1.7

blue-white                 5000 to 6000                        1.1

blue                            3500 to 5000                       0.8

blue                               < 3500                                0.3            

According to this chart and the provided information, the mass of this blue-white star shoud be between 1.1 and 3.2 solar mass units.

To make a better estimation of the Sirus mass, we can make use of the following formula,

(M/M₀)²'⁵ = (T/T₀)⁴

This formula describes the relationship between the mass and temperature of the sun and of another star.

Where,

  • M ⇒ Mass of the other star
  • M₀ ⇒ Mass of the sun ⇒ 1 solar mass.
  • T ⇒ Temperature of the other star ⇒ 9800K
  • T₀ ⇒ Temperature of the sun ⇒ 5778K

(M/M₀)²'⁵ = (T/T₀)⁴

(M/M₀)²'⁵ = (9800K/5778K)⁴

(M/M₀)²'⁵ = (1.696)⁴

(M/M₀)²'⁵ = 8.27

(M/M₀) = ²'⁵√8.27

(M/M₀) = 2328

M = 2328 x 1 solar mass

M = 2328 solar mass

According to this formula, we might say that the mass of the Sirus star is around 2 solar mass. Option C.

As said before in the introduction, Sirius mass is aproximately twice the sun mass.

You can learn more about star mass at

https://brainly.com/question/9775637

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