In this population of stars, which spectral type contributes he largest percentage of the total mass of the?

Question

whole population? Estimate the average of the luminosity for each of these spectral types of Main Sequence stars from the HR diagram. Which spectral type contributes the largest percentage of the total luminosity of the entire population?

O=5, B=20, A=30, F=50, G=75, K=750, M=2250

The mass of a typical star in each spectral type is approximately:

O=30, B=6, A=3, F=2, G=1, K=0.5, M=0.2

(where the units are in solar masses, that is, the Sun's mass =1)

Answer 1

the point being ?

Answer 2

You asked exactly the same question a week ago. I worked out the answer and now you ask it again....

Why don't you email me to tell me what you didn't understand or why you think I have it wrong?

Here is the worked out answer again.

The luminosity and the mass of mainstream stars are related as L=M^3.5

Here is the table I made with a spreadsheet. The O type stars contribute 10% of the mass, but 98% of the luminosity.

Type Number Mass Luminosity Total mass Total luminosity Percentage

O 5 30 1.48E+05 150 7.39E+05 98.31%

B 20 6 5.29E+02 120 1.06E+04 1.41%

A 30 3 4.68E+01 90 1.40E+03 0.19%

F 50 2 1.13E+01 100 5.66E+02 0.08%

G 75 1 1.00E+00 75 7.50E+01 0.01%

K 750 0.5 8.84E-02 375 6.63E+01 0.01%

M 2250 0.2 3.58E-03 450 8.05E+00 0.00%