UNIVERSE (LOOSELEAF):STARS+GALAXIES
6th Edition
ISBN: 9781319115043
Author: Freedman
Publisher: MAC HIGHER
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Chapter 7, Problem 14Q
To determine
The average speed of hydrogen atoms at the surface of the Sun.
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Jupiter's exosphere has a temperature of about 780.0 K. 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's constant is k = 1.38 × 10-23 Joule/Kelvin.
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…
Assume that when in thermal equilibrium (i.e. the temperature is not changing) Mars absorbs all of the heat it receives from the Sun and then re-radiates it as black body radiation from all parts of its spherical surface. Assuming that Mars' temperature is uniform across all of its surface, calculate the temperature on Mars. The Stefan-Boltzmann constant σ=5.7×10−8 W m−2K−4.To answer this question you need to balance the total energy per second being absorbed by Mars with the total energy per second being radiated by Mars.
Key:
Flux of radiation from the Sun at Mars' orbital radius is 597 W m-2.
The luminosity of the Sun Ls = 3.8×1026 W.
Mars orbits at a distance of 2.25×1011 m (1.5 AU) from the Sun.
Total amount of radiative energy per second is 2.2 x 1016 W.
Chapter 7 Solutions
UNIVERSE (LOOSELEAF):STARS+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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- Since 1995, hundreds of extrasolar planets have been discovered. There is the exciting possibility that there is life on one or more of these planets. To support life similar to that on the Earth, the planet must have liquid water. For an Earth-like planet orbiting a star like the Sun, this requirement means that the planet must be within a habitable zone of 0.9 AU to 1.4 AU from the star. The semimajor axis of an extrasolar planet is inferred from its period. What range in periods corresponds to the habitable zone for an Earth-like Planet orbiting a Sun-like star?arrow_forwardB2arrow_forwardThe planet Venus is different from the earth in several respects. First, it is only 70% as far from the sun. Second, its thick clouds reflect 77% of all incident sunlight. Finally, its atmosphere is much more opaque to infrared light. Calculate the solar constant at the location of Venus, and estimate what the average surface temperature of Venus would be if it had no atmosphere and did not reflect any sunlight.arrow_forward
- Estimate the temperature of the planet (in K), if it is in thermal equilibrium with the star it orbits. The radius of the star is 1,2×108 m, the radius of the planetary orbit is 5,8×1011 m, the temperature of the star surface is 2,1×103 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_forwardSolar scientists want to measure the temperature inside the sun by sending in probes. Imagine that temperature increases by 1 million◦C for every 10,000 km below the surface. A probe that can handle a temperature of x million degrees costs x³ million dollars. a. How much would it cost to measure the temperature 10,000 km down? b. How much would it cost to measure the temperature 100,000 km down? c. How much would it cost to measure the temperature 200,000 km down?arrow_forward
- Venus' 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_forward10arrow_forward1. The Sun radiates energy like a black body with temperature 5800 K. Use the Stefan-Boltzmann Law to calculate the Sun's Luminosity (which is the Sun's Surface Area times the Flux radiated per unit surface area. Use the following parameters: Sun's Radius = R = 6.96 x 1010 cm Stefan-Boltzmann Const = s = 5.67 x 10-5 ergs/cm2 K4 sSun's Temperature = T = 5800 K Formula for Luminosity: L = 4pR2 sT 4 What is the Sun's Luminosity? __________ ergs/sarrow_forward
- The incoming solar energy for the planet is 245 W/m2. What is the outgoing energy from the surface (arrow c)?arrow_forwardA star has a surface temperature of 6400 K. The intensity of a sunspot is found to be 1/3 the intensity of the surrounding surface. What is the temperature of this sunspot?arrow_forwardplease answer c,d,earrow_forward
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