Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 7, Problem 15Q
To determine
(a)
The escape speed from the surface of the Sun.
To determine
(b)
The reason for the Sun to have lost very little hydrogen over its entire history.
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If Titan could be moved out to the orbit of Neptune would its atmosphere freeze into solid nitrogen? The formula to estimate the blackbody radiation temperature in Kelvin is:
where α is the albedo at 0.3, L the luminosity is 1.5 Watts/meter2, σ , the Stefan Boltzmann constant is 5.67 X10-8 W/m2/K. What would be the temperature and would the atmosphere freeze out if the freezing point of N2 gas 63 K?
answer choices
63 K, maybe
75 K, no
46 K, yes
103 K, no
K
What is the wavelength (in nm) of the most intense radiation emitted from the surface of Mercury at high noon? (Hint: Use Wien's law, Amax
= 2.90 x 10° m: K
%3D
T (in K)
nm
In which band of the electromagnetic spectrum is that wavelength? (Hint: Examine the following figure.)
Visible light
Short wavelengths
Long wavelengths
4 x 107 5x 107 6x 107 7x 10meters
(400 nm) (500 nm) (600 nm) /(700 nm)
Wavelength (meters)
10 12
10 10
10
104
102
1
102
104
Gamma-
ray
Ultra-
violet
Micro-
Radio
X-ray
Infrared
wave
UHF VHF FM
AM
a
Opaque
Visual
window
Radio
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Transparent
Short
Wavelength
Long
b
O gamma-ray
O X-ray
O ultraviolet
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O microwave
O radio
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Opacity of
Earth's atmosphere
a. Calculate the surface temperature of Pluto and Charon at perihelion, assuming both bodies are rapid rotators and in equilibrium with the solar radiation field.
b. Calculate the escape velocity from Pluto and Charon, and compare these numbers with the velocity of N2, CH4, and H2O molecules.
c. Given your answers in (a) and (b), explain qualitatively the differences in surface ice coverage for Pluto and Charon.
Chapter 7 Solutions
Universe: Stars And Galaxies
Ch. 7 - Prob. 1QCh. 7 - Prob. 2QCh. 7 - Prob. 3QCh. 7 - Prob. 4QCh. 7 - Prob. 5QCh. 7 - Prob. 6QCh. 7 - Prob. 7QCh. 7 - Prob. 8QCh. 7 - Prob. 9QCh. 7 - Prob. 10Q
Ch. 7 - Prob. 11QCh. 7 - Prob. 12QCh. 7 - Prob. 13QCh. 7 - Prob. 14QCh. 7 - Prob. 15QCh. 7 - Prob. 16QCh. 7 - Prob. 17QCh. 7 - Prob. 18QCh. 7 - Prob. 19QCh. 7 - Prob. 20QCh. 7 - Prob. 21QCh. 7 - Prob. 22QCh. 7 - Prob. 23QCh. 7 - Prob. 24QCh. 7 - Prob. 25QCh. 7 - Prob. 26QCh. 7 - Prob. 27QCh. 7 - Prob. 28QCh. 7 - Prob. 29QCh. 7 - Prob. 30QCh. 7 - Prob. 31QCh. 7 - Prob. 32QCh. 7 - Prob. 33QCh. 7 - Prob. 34QCh. 7 - Prob. 35QCh. 7 - Prob. 36QCh. 7 - Prob. 37QCh. 7 - Prob. 38QCh. 7 - Prob. 39QCh. 7 - Prob. 40QCh. 7 - Prob. 41Q
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- What is the escape velocity from the Sun? How much greater is it than the escape velocity from Earth?arrow_forwardWhat produced the helium now present in the Sun’s atmosphere? In Jupiter’s atmosphere? In the Sun’s core?arrow_forwardc) Derive the Schwarzschild criterion for the onset of convection in an ideal gas, namely d ln T d ln P 7-1 Y Explain all steps in your derivation, and justify any assumptions that you make. d) In a region of convective instability near the surface of a solar-type star of total mass M, the temperature and pressure are related approximately by the expression P KT5/2. Show that the temperature gradient for an ideal gas in hydrostatic = equilibrium in this convection zone is given by dT dr 2Gm(r)μ 5Rr² Further, assuming that the mass in the convection zone is small compared to M, show that at a depth h measured from the top of the convection zone, the temperature is approximately given by T = Ts + 2GMμ -h₂ 5RR² when his small compared to R, and Ts is the temperature at the top of the convection zone.arrow_forward
- The gravitational collapse time for the Sun is a constraint on the timescale for the formation of the Solar System: Using the mass of the Sun and a 6.67 X10-11 in S.I. units (m, kg, sec) as the value for G, calculate the gravitational collapse time in millions of years for the mass of the Sun in a nebula with radius 4 light years. Recall that: tgravity = square root (R^3/ GM)arrow_forwardThe gravitational collapse time for the Sun is a constraint on the timescale for the formation of the Solar System: Using the mass of the Sun and a 6.67 X10-11 in S.I. units (m, kg, sec) as the value for G, calculate the gravitational collapse time in millions of years for the mass of the Sun in a nebula with radius 4 light years. Recall that: tgravity=R3GM−−−√tgravity=R3GM Group of answer choices 20 28 10 80arrow_forwardProblem 2. Thermal Energy of the Gas Giants: Energy Radiated by Saturn (Palen, et. al., 1st Edition, Chapter 8, problems 40, 62) The equilibrium temperature (Links to an external site.) for Saturn should be 82 K but instead we find an average temperature of 95 K. How much more energy is Saturn radiating into space than it absorbs from the sun? Does this violate the law of conservation of energy? What is the source of this additional energy?arrow_forward
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