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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 ?
(Given :
Mass of oxygen molecule (m) = 2.76 × 10–26 kg
Boltzmann's constant kB = 1.38 × 10–23 J K–1) :-

Options

A.

2.508 × 104 K

B.

8.360 × 104 K

C.

5.016 × 104 K

D.

1.254 × 104 K

Solution

Ves = Vrms
11.2 ×10=3kTm⇒T=(11.2×103)2m3k
Putting value of m and k
T = 8.360 ×104 k

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