At What Kelvin Temperature Does the Rms Speed of the Oxygen

question 21

Multiple Choice

At what Kelvin temperature does the rms speed of the oxygen (O₂) molecules in the air near the surface of the earth become equal to the escape speed from the earth? (R = 8.31 J/mol · K; molar mass of O₂ gas is 32 g/mol; radius of the earth R_E = 6.37 $\times$ 10⁶ m; the escape speed from the earth is 11.2 km/s)

• A)4.8 \(\times\) 10⁵ K
• B)8.0 \(\times\) 10⁴ K
• C)1.6 \(\times\) 10⁵ K
• D)1.1 \(\times\) 10⁴ K
• E)3.6 \(\times\) 10⁵ K

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Definitions:

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