Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 12, Problem 13Q
To determine
The average temperature at the same height where Jupiter actually emits twice the amount of energy as it emits to the Sun in the form of
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Jupiters exosphere has a temperature of about 870.0K what is the thermal speed of hydrogen (in km/s) in Jupiter's exosphere? The mass of a hydrogen atom is 1.67 x 10-27 kg and Boltzmann constant is k= 1.38 x10 -23 Joule/Kelvin
What is the escape velocity is km/s from Jupiters exosphere, which begins about 993 km above the surface ? Assume the Gravitational constant is G= 6.67 x10-11m3 kg-1s-2, and that's Jupiter has a mass of 1.8999999999999998e+27kg and a radius of 68.0 x103km
Saturn emits radiation at a rate of 1.98 x 1017 W and absorbs sunlight at a rate of 1.11 x 1017
W.
a) Assuming that the radiation excess comes exclusively from Saturn's gravitational potential
energy, at what rate dR/dt is Saturn shrinking?
b) How long would it take for Saturn's radius to decrease by 1%?
Chapter 12 Solutions
Universe
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- Titan has a very thick atmosphere of nitrogen gas at a surface pressure (P) of 150 kiloPascals (kg·m/sec2/m2 units). If pressure (P) is force per unit area, then the mass pushing down over 1 square meter of the surface will scale as P/g with g (1.352 m/sec2) being the surface acceleration due to gravity. Considering that the density of solid nitrogen is 1027 kg/m3, calculate the layer thickness of solid nitrogen that would result from freezing the atmosphere by dividing the density of nitrogen into the mass per m2? answer choices 108 meters 10.08 meters 1.08 kilometers 1.08 metersarrow_forwardIf 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, noarrow_forwardWhat is the escape velocity in km/s from Venus' exosphere, which begins about 168 km above the surface? Assume the gravitational constant is G = 6.67 × 10-11 m3 kg-1 s-2, and that Venus has a mass of 4.9e+24 kg and a radius of 5800.0 km.arrow_forward
- B2arrow_forwardVenus' exosphere has a temperature of about 404 K. What is the thermal speed of hydrogen (in km/s) in Venus' exosphere? The mass of a hydrogen atom is 1.67 x 10-27 kg and Boltzmann's constant is k = 1.38 × 10-23 Joule/Kelvin.arrow_forwardTitan's exosphere has a temperature of about 218 K. What is the thermal speed of hydrogen (in km/s) in Titan's exosphere? The mass of a hydrogen atom is 1.67 × 10-27 kg and Boltzmann's constant is k = 1.38 × 10-23 Joule/Kelvin.arrow_forward
- The fraction of the energy flux received which is reflected into space is the albedo of Venus, av, which is about 0.76. The fraction of the energy flux which is absorbed is then (1-av) = 1. - 0.76 = 0.24. So the amount of energy actually absorbed by Venus in each second is Lv = (1-av)Ev. Lv = (1-av)Ev = ___________________ ergs/s And next calculate the effective temperature of Venus: Tv4 = (Lv/(4pdv2))/s = Lv/(4spdv2) = __________________ K4 and taking the square root of Tv4 twice in succession we get the effective Temperature Tv: Tv = [Lv/(4spdv2)]0.25 = _________________ K Calculate Venus' emittance assuming that the Venus' actual temperature, Tvr, is 472o C = 745 K: ev = Lv/(4pdv2s Tvr4) = __________________ .arrow_forwardYou decide to go on an interstellar mission to explore some of the newly discovered extrasolar planets orbiting the star ROTOR. Your spacecraft arrives in the new system, in which there are five planets. ROTOR is identical to the Sun (in terms of its size, mass, age and composition). From your observations of these planets, you collect the following data: Density Average Distance from star (AU] Planet Mass Radius Albedo Temp. [C] Surf. Press. MOI Rotation [Earth = 1] (Earth = 1] [g/cm³] [Atm.] Period (Hours] Factor SIEVER EUGENIA 4.0 0.001 2.0 0.1 5.0 1.0 0.3 20 0.8 N/A 3.0 0.2 N/A 0.3 0.4 0.35 20 10 500 1000 5.0 4.0 0.5 0.8 0.4 0.7 -50 MARLENE CRILE 1.0 1.0 3.0 8.0 1,5 0.0 0.50 0.50 0.25 150 0.4 JANUS 100 12 0.1 10 -80 0.2 200 Figure 1: А Rotor 850 890 900 Wavelength (nm) A Sun В C 860 900 910 Wavelength (nm) 2414 a asarrow_forward___ nmarrow_forward
- Using Wien’s displacement law, what is the peak wavelength of Earth if its surface temperature is 300 K?arrow_forwardK 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 window Transparent Short Wavelength Long b O gamma-ray O X-ray O ultraviolet O visual O infrared O microwave O radio оооо о оо Opacity of Earth's atmospherearrow_forward(a) Auroras have been observed near the magnetic poles of Uranus. (i) Explain how these lights are produced. (ii) While searching for the auroras of Uranus, an orbiting satellite registered the spectral lines. These are emitted by hydrogen atoms during the transition from the first excited state to the ground state. Calculate the wavelength of this radiation and indicate the region of the electromagnetic spectrum in which the satellite made the observation.arrow_forward
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