Question

If the rms velocity of hydrogen becomes equal to the escape velocity from the earth

Answer 1

escape velocity at the surface of the earth is
given by:
V =11.2 km/s = 11.2×1000m/s
rms velocity of the gas particle is given by:
V=
3KT
m
−
−
−
−
√
m of the hydrogen molecule = 1.007 u = 1
.007×1.67×10
−24
kg
11.2×1000 =
3×1.38×
10
−23
T
1.67×
10
−24
−
−
−
−
−
−
−
−
−
−
√
11.2×11.2×1000×1000×1.67×
10
−24
3×1.38×
10
−23


= T
T =50.81×
10
5
 K
esca
give
V =
rms
V=
m of
.007
11.2