Run T (K) v esc (m/s) Description of Simulation 1 500 1500 H 2 is very quickly l
ID: 293099 • Letter: R
Question
Run
T (K)
vesc (m/s)
Description of Simulation
1
500
1500
H2 is very quickly lost since it only has a mass of 2u and its most probable velocity is greater than the escape velocity, NH3 is slowly lost since it is a medium mass gas (18u) and a significant fraction of its velocity distribution is greater than 1500 m/s, CO2 is unaffected since its most probable velocity is far less than the escape velocity.
2
500
1000
in this case hydrogen molecules will escape, NH3 is close to the escape velocity so, it can lost slowly and will not affect carbon dioxide due to its low probable velocity.
3
500
500
in this case all molecules are capable of escape from the gravity since the most probable velocity is higher for all molecules than the escape velocity.
4
100
1500
in this condition no molecule will escape, including Hydrogen, they will not have sufficient energy to escape, the most probable velocity at this temperature is less thn the escape velocity.
5
100
1000
Hydrogen molcules will escape in this conditon, and NH3 and CO2 will remains there.
6
100
500
in this case hydrogen molecules will escape immediately and the probable velocity of NH3 is less but some molecules can escape slowly, but no molecules of co2 can escape since their most probable velocity is less than the escape velocity.
Write a summary of the results contained in the table above. Under what circumstances was a gas likely to be retained? Under what circumstances is a gas likely to escape the chamber?
Run
T (K)
vesc (m/s)
Description of Simulation
1
500
1500
H2 is very quickly lost since it only has a mass of 2u and its most probable velocity is greater than the escape velocity, NH3 is slowly lost since it is a medium mass gas (18u) and a significant fraction of its velocity distribution is greater than 1500 m/s, CO2 is unaffected since its most probable velocity is far less than the escape velocity.
2
500
1000
in this case hydrogen molecules will escape, NH3 is close to the escape velocity so, it can lost slowly and will not affect carbon dioxide due to its low probable velocity.
3
500
500
in this case all molecules are capable of escape from the gravity since the most probable velocity is higher for all molecules than the escape velocity.
4
100
1500
in this condition no molecule will escape, including Hydrogen, they will not have sufficient energy to escape, the most probable velocity at this temperature is less thn the escape velocity.
5
100
1000
Hydrogen molcules will escape in this conditon, and NH3 and CO2 will remains there.
6
100
500
in this case hydrogen molecules will escape immediately and the probable velocity of NH3 is less but some molecules can escape slowly, but no molecules of co2 can escape since their most probable velocity is less than the escape velocity.
Explanation / Answer
the presence of atmosphere of a planet depends on its gravity and molecular weight of the gas molecules. if the gravity is high the escape velocity also will be higher, so the gas molecules should have enough energy and most probable velocity to escape from the planets gravitational field. most probable velocity depends on the temperature and molecular weight of the gas molecules, if the temperature is so high, the molecules will have enough velecity to overcome the escape velocity even if it is little higher. this is the basic factors behind the presence of gases. if the temperature is low and escape velocity is higher most of the gas molecules will retain including hydrogen(4th) , and if the temperature is higher and escape velocity is low, then all molecules will escape to space( 3rd). so itis clear that the temperature and escape velocity are the key factors that regulates the presence of gas molecules.
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