A Gas Eventually Will Escape from a Planet's Atmosphere If

Multiple Choice

A gas eventually will escape from a planet's atmosphere if the average velocity of the atoms exceeds 1/6 times the escape velocity of the planet.If the average velocity of water vapor in Venus's atmosphere is 0.9 km/s, would it eventually escape into outer space? Note that Venus's mass is 5 *10²⁴ kg, its radius is 6,050 km, and G = 6.67 *10 ^{- 11} N m ² /kg ² .

A) Water vapor would escape because 1/6 times the escape velocity is 0.51 km/s.
B) Water vapor would not escape because 1/6 times the escape velocity is 1.7 km/s.
C) Water vapor would escape because 1/6 times the escape velocity is 0.42 km/s.
D) Water vapor would not escape because 1/6 times the escape velocity is 2.6 km/s.
E) Water vapor would escape because 1/6 times the escape velocity is 1.3 km/s.