At what temperature does the rms speed of (a) H2 (molecular hydrogen) and (b) O2 (molecular oxygen) equal the escape speed from Earth? At what temperature does the rms speed of (c) H2 and (d) O2 equal the escape speed from the Moon (where the gravitational acceleration at the surface has magnitude 0.16g)? Considering the answers to parts (a) and (b), should there be much (e) hydrogen and (f) oxygen high in Earth’s upper atmosphere, where the temperature is about 1000 K?
At what temperature does the rms speed of (a) H2 (molecular hydrogen) and (b) O2 (molecular oxygen) equal the escape speed from Earth? At what temperature does the rms speed of (c) H2 and (d) O2 equal the escape speed from the Moon (where the gravitational acceleration at the surface has magnitude 0.16g)? Considering the answers to parts (a) and (b), should there be much (e) hydrogen and (f) oxygen high in Earth’s upper atmosphere, where the temperature is about 1000 K?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter19: Temperature, Thermal Expansion And Gas Laws
Section: Chapter Questions
Problem 39PQ
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Question
At what temperature does the rms speed of (a) H2 (molecular
hydrogen) and (b) O2 (molecular oxygen) equal the escape
speed from Earth? At what temperature does the rms
speed of (c) H2 and (d) O2 equal the escape speed from the Moon
(where the gravitational acceleration at the surface has magnitude
0.16g)? Considering the answers to parts (a) and (b), should there
be much (e) hydrogen and (f) oxygen high in Earth’s upper atmosphere,
where the temperature is about 1000 K?
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a) Equation to find the rms speed.
VIEWb) Use equation (I) to find the temperature.
VIEWc) Use equation (I) to find the temperature in moon.
VIEWd) Use equation (I) to find the temperature in moon.
VIEWe) Explanation for whether hydrogen is much at the upper atmosphere using the above calculations.
VIEWf) Explanation for whether oxygen is much at the upper atmosphere using the calculations.
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