Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 2]PhysicsKinetic Theory of Gases

For an oxygen sample at 300 K , determine the average time required for a molecule to cover a distance equal to the diameter of the earth.

Options

  1. A16 hours
  2. B4 hours
  3. C8 hours
  4. D12 hours

Correct answer

C. 8 hours

Step-by-step solution

The average speed of a gas molecule is given by: v_ avg = 8RT M For an oxygen ( O₂ ) molecule at 300 K : R = 8.314 J K ⁻¹ mol ⁻¹ T = 300 K M = 32 10⁻³ kg mol ⁻¹ Substituting the values: v_ avg = 8 8.314 300 32 10⁻³ 445.5 m s ⁻¹ The diameter of the earth is D = 2 6400 km = 12800 km = 12.8 10^6 m . The average time required to cover this distance is: t = D v_ avg = 12.8 10^6 445.5 28731 s Converting the time into hours: t = 28731 3600 hours 7.98 hours 8 hours

Practice Kinetic Theory of Gases on Quantrex Academy →

More from Kinetic Theory of Gases

If 2 mole of an ideal monoatomic gas at temperature T , is mixed with 6 mole of another ideal monoatomic gas at temperature 2T then the temperature of mixture is : 2026Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Statement I: Change in internal energy of a system containing n mole of ideal g 2026Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: If the average kinetic energy of H₂ and O₂ molecules, kept in two 2026One gas of n₁ mole of molecules at temperature T₁ , volume V₁ , and pressure P₁ , and another gas of n₂ mole of molecules at temperature T₂ , volume V₂ , and pressure P₂ , are mixe 2026A mixture of carbon dioxide and oxygen has volume 8310 cm ^3 , temperature 300 K, pressure 100 kPa and mass 13.2 g. The number of moles of carbon dioxide and oxygen gases in the mi 2026The mean free path of a molecule of diameter 5 10⁻¹⁰ ~m at the temperature 41^ C and pressure 1.38 10⁵ ~Pa , is given as _ _ _ _ m. (Given k_ B =1.38 10⁻²³ ~J / K ). 2026A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has temperature 50^ C . The gas is now heated to double its temperature. The modified pressure is _ _ _ 2026Consider two boxes containing ideal gases A and B such that their temperatures, pressures and number densities are same. The molecular size of A is half of that of B and mass of mo 2026 Full Kinetic Theory of Gases list All Concepts Of Physics MCQ Edition [Volume 2] PYQs