21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 16, Problem 38QP
(a)
To determine
The increase in hydrogen fusion energy.
(a)
To determine
The increase in hydrogen fusion energy.
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For each statement concerning main sequence stars, select T True, F False, G Greater than, L Less than, or E Equal to.
A) The surface temperature of a O type star is .... than a K type star.
B) On the main sequence, the mass of a O type star is .... than a F type star.
C) On the main sequence, a M type star's life is .... than a G type star.
D) The surface temperature of our Sun is .... than the surface temperature of Sirius.
E) When stars start hydrogen burning, thier mass determines where they are on the main sequence.
F) Based on the relative lifes of M and G type stars we expect the number of M stars to be .... than the number of G type stars.
The Sun emits 3.839 x 1026 J of energy every second, which is generated from the fusion of hydrogen into helium in its core. Using Einstein's equation E = mc2 (with c = 2.9979 x 108 m/s), determine how much mass the Sun converts to energy every second due to nuclear fusion in its core. If we assume that the Sun has been shining at this same rate through its entire 4.6 billion year history, how much mass has the Sun lost due to nuclear fusion during its lifetime? Express your answer as a fraction of the Sun's current mass (1.9891 x 1030 kg).
As a cluster of stars begins to age, which type of star in the cluster will move off the main sequence of the H-R diagram first?
1)
all the stars in a cluster are born at the same time; so they will all move off the main sequence at the same time, as they evolve
2)
G type stars, like our Sun
3)
M type stars, which are the coolest
4)
the lowest mass stars, which have the least amount of fuel for fusion
5)
the O and B type stars
Chapter 16 Solutions
21st Century Astronomy
Ch. 16.1 - Prob. 16.1CYUCh. 16.3 - Prob. 16.3CYUCh. 16.4 - Prob. 16.4CYUCh. 16.5 - Prob. 16.5CYUCh. 16 - Prob. 1QPCh. 16 - Prob. 2QPCh. 16 - Prob. 3QPCh. 16 - Prob. 4QPCh. 16 - Prob. 5QPCh. 16 - Prob. 6QP
Ch. 16 - Prob. 8QPCh. 16 - Prob. 9QPCh. 16 - Prob. 10QPCh. 16 - Prob. 11QPCh. 16 - Prob. 12QPCh. 16 - Prob. 13QPCh. 16 - Prob. 14QPCh. 16 - Prob. 15QPCh. 16 - Prob. 16QPCh. 16 - Prob. 17QPCh. 16 - Prob. 18QPCh. 16 - Prob. 19QPCh. 16 - Prob. 20QPCh. 16 - Prob. 21QPCh. 16 - Prob. 23QPCh. 16 - Prob. 24QPCh. 16 - Prob. 25QPCh. 16 - Prob. 26QPCh. 16 - Prob. 27QPCh. 16 - Prob. 28QPCh. 16 - Prob. 29QPCh. 16 - Prob. 30QPCh. 16 - Prob. 31QPCh. 16 - Prob. 32QPCh. 16 - Prob. 33QPCh. 16 - Prob. 34QPCh. 16 - Prob. 35QPCh. 16 - Prob. 36QPCh. 16 - Prob. 37QPCh. 16 - Prob. 38QPCh. 16 - Prob. 39QPCh. 16 - Prob. 40QPCh. 16 - Prob. 41QPCh. 16 - Prob. 42QPCh. 16 - Prob. 43QPCh. 16 - Prob. 44QPCh. 16 - Prob. 45QP
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- What is the first event that happens to a star with roughly the mass of our Sun that exhausts the hydrogen in its core and stops the generation of energy by the nuclear fusion of hydrogen to helium? Describe the sequence of events that the star undergoes.arrow_forwardDescribe the evolution of a star with a mass similar to that of the Sun, from the protostar stage to the time it first becomes a red giant. Give the description in words and then sketch the evolution on an HR diagram.arrow_forward(a) The surface temperature of a star is 25,000 K and it has a luminosity about 1% that of our Sun. What kind of star is it? (B) The surface temperature of a star is 3,000 K and it has a luminosity about 104 time that of our Sun. What kind of star is it?arrow_forward
- 3) indicate which locations in the H-R diagram correspond to places where the evolution is slow. Answers should be in the order they occur in the star. For example, if, in order, E, I and A are locations where there is a long time between changes, then enter EIA. (HINT: There are exactly three of them Hint: Hint: Our sun will be stable for another 4 billion years and white dwarfs last a long time because they are small. Really good additional hint: There are 3 places where the evolution is slow. Info below is what each of the labels are. 1) red giant, helium flash A2) white dwarf F3) red giant with helium burning shell B4) hydrogen fusion in shell around core I5) helium fusion in core D6) envelope ejected, planetary nebula H7) main-sequence star C8) helium used up, core collapses G9) hydrogen used up, core collapses Earrow_forwardImagine that in the future, scientists plan on colonizing planets that orbit other stars. Based on your knowledge of the life cycle of stars, decide which type of star (High mass or Low mass) the planet should orbit that would allow for human life to safely live on that planet for the longest period of time. Explain your answer using examples from the life cycle of each star.arrow_forwardWhat are the on the axes of a Hertzsprung-Russell diagram? (b) Name one thing you can tell about a star from its location in an H-R diagram (Other than luminosity & temperature!) c) Where are most stars located in the diagram?arrow_forward
- What is fusion? How does it happen inside a star?arrow_forwarda) Why don’t stars live forever? Which stars live the longest? b) What is the importance of 1.4 solar masses in stellar evolution?arrow_forwardTrappist-1 is a star that has been found to be orbited by seven Earth-like planets. From the most massive of these, Trappist-1c, the star has apparent brightness of about 3,002 W/m2. What is the brightness of the star as seen from Trappist-1g, which is 3 times farther away? W/m2arrow_forward
- 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.)arrow_forwardThe radius of the Sun is 7x10⁸ m and its mass is 2x10³⁰kg.What is the density of the Sun (density = mass/volume)? The density of water is 1000 kg/m³. What is the ratio of the Sun's density to that of water?arrow_forwardThis 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. Hint: The simple relation is that lifetime is proportional to mass divided by luminosity. If you use these quantities in solar masses and solar luminosities, then this relation tells you how many times longer than the Sun the star will live.arrow_forward
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