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

Suppose the molecules of a hydrogen sample possess a mean speed equal to the mean speed of the molecules of a helium sample. Determine the ratio of the temperature of the hydrogen sample to the temperature of the helium sample.

Options

  1. A2 : 1
  2. B1 : 2
  3. C1 : 2
  4. D2 : 1

Correct answer

C. 1 : 2

Step-by-step solution

The mean speed of gas molecules is given by v = 8RT M . Given that the mean speed of hydrogen molecules is equal to the mean speed of helium molecules: 8RT_ H₂ M_ H₂ = 8RT_ He M_ He Squaring both sides, we get: T_ H₂ M_ H₂ = T_ He M_ He T_ H₂ T_ He = M_ H₂ M_ He The molar mass of hydrogen gas ( H₂ ) is 2 g/mol and the molar mass of helium gas ( He ) is 4 g/mol. T_ H₂ T_ He = 2 4 = 1 2 The ratio of the temperature of the hydrogen sample to the temperature of the helium sample is 1 : 2 .

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