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Assume, for simplicity, that a region of space contains 1 O8V star, 1 A0Ib star, 100...

Assume, for simplicity, that a region of space contains 1 O8V star, 1 A0Ib star, 100 G5V stars and 1000 M2V stars.

(a) determine the total stellar mass (units of M ) in the region and indicate which type of star dominates the mass

(b) determine the total stellar luminosity (L ) in the region and indicate which type of star dominates the luminosity.

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Answer #1

We need to first refer the table which gives the Stellar Mass of each Star in terms of Solar Mass (e.g. Stellar mass 10M indicates that mass of the star is 10 times of our sun), Similarly we got data for Star Radii (Ratio as per or Solar Radius) and temperature of Star. See below picture. These data are highlighted in GREEN colour in below table:

G27 在 E27*E27*POWER(F27/$E$24,4) 23 Temperature of Sun (K): 5778 26 27 28 29 30 31 32 Star Stellar Mass(M)Stellar Radii (R Teff (K) Stellar Luminosity(L) Quanti A0lb G5V M2V 20 10 1.05 0.4 70 0.95 0.43 10 37000 9550 5657 4076 168150.0 36567.8 0.83 0.046 100 1000 Total Stellar Mass(M): 535 Total Stellar Luminosity (L): 204846.5.1

Part a)

We can simply Multiply No. of Star (Qty) and their respective Solar Mass and add it to find total Stellar Mass = 535 M (i.e. 535 times mass of our Sun)

1000 no. of M2V stars have 400 M mass and dominate the overall mass.

Part b)

As we know that Luminosity of a Star is proportional to R2 and T4 . So, We have calculated Stellar Luminosity in unit of Our Sun's Luminosity (L). Please refer formula in above picture.

Total Stellar Luminosity = 204846.5 L (204846.5 times of our sun's luminosity).

It is clear that 1 no. of O8Ib star has highest Luminosity of 168150 Lwhich is more than 82% of total Stellar luminosity.

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