Integrated Science (looseleaf)
7th Edition
ISBN: 9781259350436
Author: Tillery
Publisher: MCG
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Chapter 12, Problem 4PEA
To determine
The expected lifetime of a star that has twice the mass of the sun.
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Use
t =
1
M2.5
to compute the life expectancy of a 0.6-solar-mass star. (A solar lifetime is approximately 10 billion years.) yrWhy might this be an underestimate if the star is fully mixed by convection?
a) If the star is fully mixed its mass will be much larger than 0.6 solar masses.
b) If the star is fully mixed its mass will be much smaller than 0.6 solar masses.
c) If the star is fully mixed it will be able to use a larger portion of its hydrogen in fusion than the Sun.
d) If the star is fully mixed it will be able to use a smaller portion of its hydrogen in fusion than the Sun.
For a main sequence star with luminosity L, how many kilograms of hydrogen is being converted into helium per second? Use the formula that you derive to estimate the mass of hydrogen atoms that are converted into helium in the interior of the sun (LSun = 3.9 x 1026 W).
(Note: the mass of a hydrogen atom is 1 mproton and the mass of a helium atom is 3.97 mproton. You need four hydrogen nuclei to form one helium nucleus.)
An object must be at least 0.08 solar masses to be a star. Using a ratio, compare the lifetime of such a star to that of the Sun
Chapter 12 Solutions
Integrated Science (looseleaf)
Ch. 12.1 - Stars twinkle and planets do not twinkle because...Ch. 12.6 - Prob. 2SCCh. 12.6 - Prob. 3SCCh. 12.6 - Prob. 4SCCh. 12.6 - Prob. 5SCCh. 12.6 - Prob. 6SCCh. 12.6 - Prob. 7SCCh. 12.6 - Prob. 8SCCh. 12.7 - Prob. 9SCCh. 12.7 - Prob. 10SC
Ch. 12.7 - Prob. 11SCCh. 12.7 - Prob. 12SCCh. 12 - What is a light-year, and how is it defined?Ch. 12 - Prob. 2CQCh. 12 - Prob. 3CQCh. 12 - What is the Hertzsprung-Russell diagram?Ch. 12 - Prob. 5CQCh. 12 - Prob. 6CQCh. 12 - Prob. 7CQCh. 12 - Prob. 8CQCh. 12 - Prob. 9CQCh. 12 - Prob. 10CQCh. 12 - Prob. 11CQCh. 12 - Prob. 12CQCh. 12 - Prob. 13CQCh. 12 - Prob. 14CQCh. 12 - Prob. 15CQCh. 12 - Prob. 16CQCh. 12 - Prob. 17CQCh. 12 - Prob. 18CQCh. 12 - Prob. 19CQCh. 12 - Prob. 20CQCh. 12 - Prob. 21CQCh. 12 - Prob. 22CQCh. 12 - Analyze when apparent magnitude is a better scale...Ch. 12 - Prob. 24CQCh. 12 - Prob. 25CQCh. 12 - Prob. 1PEACh. 12 - Prob. 2PEACh. 12 - Prob. 3PEACh. 12 - Prob. 4PEACh. 12 - Prob. 5PEACh. 12 - Prob. 6PEACh. 12 - Prob. 7PEACh. 12 - Prob. 8PEACh. 12 - Prob. 9PEACh. 12 - Prob. 10PEACh. 12 - Prob. 11PEACh. 12 - Prob. 1PEBCh. 12 - Prob. 2PEBCh. 12 - Prob. 3PEBCh. 12 - Prob. 4PEBCh. 12 - Prob. 5PEBCh. 12 - Prob. 6PEBCh. 12 - Prob. 7PEBCh. 12 - Prob. 8PEBCh. 12 - Prob. 9PEBCh. 12 - Prob. 10PEBCh. 12 - Prob. 11PEB
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- The lowest mass for a true star is 1/12 the mass of the Sun. What is the luminosity of such a star based upon the mass-luminosity relationship?arrow_forwardWhat is the lifetime of a 10-solar-mass star on the main sequence? a. 3.2 × 107 years b. 320 years c. 3.2 × 1012 years d. 1 × 109 years e. 1 × 1011 yearsarrow_forwardConsider two stars on the main sequence, A and B. Star A has a mass of 6 M⊙. Star B has a mass of 0.3 M⊙. Compute the ratio of main sequence lifetimes for the two stars, TB/TA .arrow_forward
- If a star converted every bit of its mass into energy the conversion efficiency would be 100%. However, no star is this efficient in its energy production. Stars with less than 1.3 solar masses (most stars are less than 1.3 solar masses) convert hydrogen into helium with an efficiency of only 0.7%. Bearing in mind that the Sun has a mass of 2 × 1030 kg, how long will it live if it converts all of its hydrogen into helium with an efficiency 0.7%? Please note that it won't actually convert all of its hydrogen into helium so this is a rather optimistic upper limit for the lifetime of the Sun. Also, 1 year = 365.25 days.Lifetime = _________ yearsarrow_forwardWhat is the lifetime on the main sequence of a 2-solar-mass star? a. 1.8 × 1011 years b. 1.8 × 1010 years c. 1.8 × 109 years d. 1.8 × 106 years e. 1.8 × 103 yearsarrow_forwardIf 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)arrow_forward
- A star with a radius 1.5 times that of the Sun has a surface temperature T=9,000 K. Calculate the luminosity of this star and express your answer in units of the Solar luminosityarrow_forwardA star with a radius 1.5 times that of the Sun has a surface temperature T=9,000 K. Calculate the luminosity of this star and express your answer in units of the Solar luminosity (the Solar luminosity = 3.84 x 1026 W and the Solar radius = 7 x 108 m)arrow_forwardThe lowest mass for a true star is 1/12 the mass of the sun. What is the luminosity of this star (in units of the sun’s luminosity) based upon mass luminosity relationship? Use the exponent of 4 for easy calculations instead of 3.9arrow_forward
- A planet orbits 1 AU from a star that is 3.5 times as massive as our Sun. How does the star's luminosity compare? If the star has the same radius as our Sun, what is the temperature of the star compared to the Sun? If Earth's average temperature is 287 K and the Sun were replaced with this star, how would its average temperature change? (Enter a temperature in K. Assume that Earth temperature is proportional to solar flux.)arrow_forwarddescribing the various stages in the life of a 1.0 solar mass star, 0.5 solar mass star, and a 3.0 solar mass stararrow_forwardA star collapses onto a neutron star. If its original radius is 7x105 km, by what factor will its spin rate increase?arrow_forward
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