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NEET2018PhysicsKinetic Theory of GasesActual

At what temperature will the rms speed of oxygen molecules becomes just sufficient for escaping from the Earth's atmosphere? (Given Mass of oxygen molecules m = 2.76 × 10 - 26  kg , Boltzmann's constant k B = 1.38 × 10 - 23  J  K - 1 )

Options

  1. A5.016 × 10 4  K
  2. B8.360 × 10 4 K
  3. C2.508 × 10 4 K
  4. D1.254 × 10 4 K

Correct answer

B. 8.360 × 10 4 K

Step-by-step solution

V e = V r m s 11.2 × 10 3 = 3 k T m ⇒ T = 11.2 × 10 3 2 m 3 k Putting value of m and k T = 8.360 × 10 4 K

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