Answer:
Thermal speed, v = 2.064 km/s
Explanation:
It is given that,
Temperature of Titan's exosphere, T = 172 K
Mass of the hydrogen atom, [tex]M=1.67\times 10^{-27}\ kg[/tex]
Boltzmann's constant, [tex]k=1.38\times 10^{-23}\ J/K[/tex]
Let v is the thermal speed of Hydrogen. It can be calculated using the following formula as :
[tex]v=\sqrt{\dfrac{3kT}{M}}[/tex]
[tex]v=\sqrt{\dfrac{3\times 1.38\times 10^{-23}\times 172}{1.67\times 10^{-27}}}[/tex]
v = 2064.93 m/s
or
v = 2.064 km/s
Hence, the thermal speed of hydrogen in Titan's exosphere is 2.064 km/s.
