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

question 45

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 and its radius is 6,050 km.

• 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.

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