COSMIC PERSPECTIVE
9th Edition
ISBN: 9780135729458
Author: Bennett
Publisher: PEARSON
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Chapter 5, Problem 60EAP
(a)
To determine
To Calculate:The average power
(b)
To determine
To Calculate: The average surface temperature of the sun using answer from part a, and Stefan Boltzmann law,
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Use Wien's Law to calculate the peak wavelength of light coming from the Sun. Assume T=5800 K for the surface temperature of the Sun. Wein's displacement law says that the blackbody temperature and peak wavelength multiplied together give a constant of 0.29 cm-K. (K is degrees Kelvin).
Convert the wavelength from part A into a frequency. The product of wavelength and frequency for electromagnetic radiation is a constant, the speed of light (c), 3 x 10^10 cm/s.
QUESTION 1
Estimate The Temperature For A Planet In Other Solar System (Questions 1-3)
Let us assume scientists just discovered a planet orbiting a star in an extra-solar system. The star has a surface temperature Ts = 10000 Kelvins and a radius Sr = 1x109 meters. Scientists also measured the distance (D)
between the star and the planet as D = 2 AU - 3.0x1011 meters.
The solar power per unit area from the star's surface (Ps) can be calculated from the star's surface temperature Ts (10000 Kelvins) by the Stefen-Boltzman law Ps=0(Ts)4, where o is Stefen-Boltzman constant (5.67 x 10-8
Watt/meter2/Kelvin4). What is the solar power per unit area from the star's surface (Ps)?
O Ps ~ 2.87 x 108 Watt/meter2
O
Ps ~ 5.67 x 108 Watt/meter2
O
O
Ps ~ 2.87 x 10 Watt/meter2
Watt/meter²
Ps ~ 5.67 x 10⁹
QUESTION 2
The solar power (Ps) decreases from the star's surface to the distance at the planet. Assuming the solar power per unit area at the distance of the planet as Pp, we have Pp=Ps(Sr/D)2, where…
1.1) In a star's core the average mass number for ions which are not hydrogen or
helium is 10. The mass fractions of hydrogen is 0.60, of helium is 0.38, and all other
elements is 0.02. Calculate the average ion mass in units of mH.
1.2) Explain two assumptions behind the Kelvin-Helmholtz timescale.
1.3) In the outer core of a massive star the temperature is 108 K. The mean particle
weight is u = 0.62. Calculate the density of this region if the radiation pressure is
equal to the thermal pressure.
1.4) For temperatures around 1.5 x 10' K in a stellar core, describe why it is hydrogen
instead of heavier ions which undergo fusion. Also, when the temperature is higher,
describe why higher mass ions can undergo fusion.
1.5) Describe two possible causes of convective instability in the outer regions of a
low mass star.
Chapter 5 Solutions
COSMIC PERSPECTIVE
Ch. 5 - Prob. 1VSCCh. 5 - Prob. 2VSCCh. 5 - Prob. 3VSCCh. 5 - Prob. 4VSCCh. 5 - Prob. 5VSCCh. 5 - Prob. 1EAPCh. 5 - Prob. 2EAPCh. 5 - Why do we say that light is an...Ch. 5 - Prob. 4EAPCh. 5 - List the different forms of light in order from...
Ch. 5 - Prob. 6EAPCh. 5 - Prob. 7EAPCh. 5 - What is electrical charge? Will an electron and a...Ch. 5 - Describe the phase changes of water as you heat...Ch. 5 - Prob. 10EAPCh. 5 - Prob. 11EAPCh. 5 - Prob. 12EAPCh. 5 - Prob. 13EAPCh. 5 - Prob. 14EAPCh. 5 - Prob. 15EAPCh. 5 - Prob. 16EAPCh. 5 - Does It Make Sense? Decide whether the statement...Ch. 5 - Does It Make Sense? Decide whether the statement...Ch. 5 - Prob. 19EAPCh. 5 - Prob. 20EAPCh. 5 - Prob. 21EAPCh. 5 - Prob. 22EAPCh. 5 - Prob. 23EAPCh. 5 - Does It Make Sense? Decide whether the statement...Ch. 5 - Does It Make Sense? Decide whether the statement...Ch. 5 - Does It Make Sense? Decide whether the statement...Ch. 5 - Prob. 27EAPCh. 5 - Prob. 28EAPCh. 5 - Prob. 29EAPCh. 5 - Prob. 30EAPCh. 5 - Prob. 31EAPCh. 5 - Prob. 32EAPCh. 5 - Prob. 33EAPCh. 5 - Prob. 34EAPCh. 5 - Prob. 35EAPCh. 5 - Choose the best answer to each of the following....Ch. 5 - Prob. 39EAPCh. 5 - Prob. 40EAPCh. 5 - Prob. 41EAPCh. 5 - Prob. 42EAPCh. 5 - Prob. 43EAPCh. 5 - Atomic Terminology Practice II. What are the...Ch. 5 - Prob. 45EAPCh. 5 - Prob. 46EAPCh. 5 - Prob. 47EAPCh. 5 - Prob. 48EAPCh. 5 - Prob. 49EAPCh. 5 - Prob. 50EAPCh. 5 - Prob. 51EAPCh. 5 - Human Wattage. A typical adult uses about 2500...Ch. 5 - Electric Bill. Your electric utility bill probably...Ch. 5 - Prob. 54EAPCh. 5 - Prob. 55EAPCh. 5 - Prob. 56EAPCh. 5 - Prob. 57EAPCh. 5 - Prob. 58EAPCh. 5 - Prob. 59EAPCh. 5 - Prob. 60EAPCh. 5 - Prob. 61EAP
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