21st Century Astronomy
21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 15, Problem 22QP
To determine

Reason why low density gases are hot and dense gases are cold.

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A cloud of gas has a temperature of 5,000 K. Estimate the width of the hydrogen H-alpha line with an intrinsic wavelength λ = 656 nm. (Note: the typical velocity of hydrogen atoms in a gas with temperature T is about (kT/mH)1/2, where k is Boltzmann constant and mH is the mass of a hydrogen atom, which is approximately the mass of a proton).
What is the wavelength in micrometers  of peak emission for a black body at 33.5°C? (c = 3.0 × 108 m/s, Wien displacement law constant is 2.9 × 10-3 m ∙ K, σ = 5.67 × 10-8 W/m2 ∙ K4).  Please give your answer with one decimal place.
Assuming stars to behave as black bodies stefan-boltzmann law to show that the luminosity of a star is related to its surface temperature and size in the following way:  L = 4(3.14)R^2oT^4   where o= 5.67 ×10^-8 Wm^-2 K-4 is the stefan- boltzmann constant. Then use this expression together with the knowledge that the sun has a surface temperature of 5700k and radius 695 500km to calculate the luminosity of the Sun in units of Watts
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