A star population is composed of stars with masses in the range between 1M and 150M.The initial mass function is = (M/M)-2.3, where = (Mo). The luminosity of a starscales with its mass as L/L = (M/M) 3.3. Calculate the percentage of the total luminosityof the stars in the population which is produced by stars with mass between 120M and150M.

To calculate the percentage of the total luminosity produced by stars with masses between 120M☉ and…

Answered: A star population is composed of stars…

Astronomy

1st Edition

ISBN:9781938168284

Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff

Publisher:Andrew Fraknoi; David Morrison; Sidney C. Wolff

Chapter18: The Stars: A Celestial Census

Section: Chapter Questions

Problem 38E: The lowest mass for a true star is 1/12 the mass of the Sun. What is the luminosity of such a star...

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Observations show that stellar luminosity, L, and mass, M, are related by L x M3.5 for main sequence stars. Obtain an expression that relates the main sequence life time and the mass of a star. You should assume that the luminosity is constant throughout a star's main sequence life time, and that the amount of mass converted into energy by a star while it is on the main sequence is given by AM main sequence life time of a 20 Solar mass star given that the Sun is expected to spend 1010 years on the main sequence. Comment on the significance of your answer. fM, where f is a constant. Estimate the
Using solar units, we find that a star has 4 times the luminosity of the Sun, a mass 1.25 times the mass of the Sun, and a surface temperature of 4090 K (take the Sun's surface temperature to be 5784 K for the sake of this problem). This means the star has a radius of.................... solar radii and is a .................... star (use the classification).
For the PP chain 0.7% of the mass participating in nuclear fusion is liberated as energy which produces a star's luminosity. Assume that the core of a main sequence star consists of 10% of its total mass. Hence, estimate the lifetime of a star on the main sequence in terms of its luminosity L/L. Give your answer in years. You may use the observed mass-luminosity relation L x M³.5, where M is the star's total mass. Using typical values, calculate estimates for the main sequence lifetime of a KO star and a 05 star. Describe briefly why your estimate might be more accurate for K stars compared to O stars.
= 2000 K and a radius of R, A young recently formed planet has a surface temperature T Jupiter radii (where Jupiter's radius is 7 x 107 m). Calculate the luminosity of the planet and 2 determine the ratio of the planet's luminosity to that of the Sun.
A main sequence star of mass 25 M⊙has a luminosity of approximately 80,000 L⊙. a. At what rate DOES MASS VANISH as H is fused to He in the star’s core? Note: When we say “mass vanish '' what we really mean is “gets converted into energy and leaves the star as light”. Note: approximate answer: 3.55 E14 kg/s b. At what rate is H converted into He? To do this you need to take into account that for every kg of hydrogen burned, only 0.7% gets converted into energy while the rest turns into helium. Approximate answer = 5E16 kg/s c. Assuming that only the 10% of the star’s mass in the central regions will get hot enough for fusion, calculate the main sequence lifetime of the star. Put your answer in years, and compare it to the lifetime of the Sun. It should be much, much shorter. Approximate answer: 30 million years.
12: A star with spectral type A0 has a surface temperature of 9600 K and a radius of 2.2 RSun. How many times more luminous is this star than the Sun? (if it is less luminous enter a number less than one) Answer: 36.854 13:This star has a mass of 3.3 MSun. what is the main sequence lifetime of this star? You may assume that the lifetime of the sun is 1010 yr. Please answer question 13 thank you.
Calculate the total number density ( ntot ) and the density ( ρ ) at a depth in a star composed of pure hydrogen where T = 9500 K and 35 % of the atoms are ionized (assume UI = 2). What percentage of hydrogen atoms are in the energy level n = 2?
Finally estimate the lifetime of an M0 spectral type star if the total mass of the star is M = 0.51M⊙ , and it has a total luminosity L = 7.7× 10−2L⊙. Make the same assumptions as the previous two problems. How does your calculated Main Sequence lifetime for the M0 type star compare to the Main Sequence lifetime you calculated for the Sun?
If the main-sequence mass lower limit is 0.08 solar mass and the brightest main-sequence stars are 1 million times more luminous than the Sun, what is the mass range along the main sequence in the figure below? (answer in solar masses)
What is the peak wavelength (in nm) of a neutron star's luminosity if its temperature is 106 K?
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The flux received at the Earth from Supernova 1885 was 3.0182 x 10 10 W/m². The luminosity of the supernova is 6 x 10° Lo (or 6 x 10° solar luminosities). What is the distance to the supernova in parsecs? Take 1 pc = 3.0857 x 1016 m and Lo= 3.828 x 1026 w. d = pc

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