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Question:

At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth's atmosphere?

2.508×104K

1.254×104K

5.016×104K

8.360×104K

Solution:

Since, Vesc=11.2 km/s
R.M.S. =√(3KT/M)
√(3KT/M) = 11200
T = 11200² × 2.76 × 10⁻²⁶ / (3 × 1.38 × 10⁻²³)
T = 8.360 × 10⁴K