Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Highly selective Backlog Qs for JEE MainPhysicsKinetic Theory of Gases

3 moles of an ideal gas at a temperature of 27^ C are mixed with 2 moles of an ideal gas at a temperature 227^ C , determine the equilibrium temperature of the mixture, assuming no loss of energy.

Options

  1. A327^ C
  2. B107^ C
  3. C318^ C
  4. D410^ C

Correct answer

B. 107^ C

Step-by-step solution

Energy possessed by the ideal gas at 27^ C is E₁=3 ( 3 2 R 300 )= 2700 R 2 Energy possessed by the ideal gas at 227^ C is E ₂=2 ( 3 R 2 500 )=1500 R If T be the equilibrium temperature, of the mixture, then its energy will be E _ m =5 ( 3 R T 2 ) Since, energy remains conserved, E _ m = E ₁+ E ₂ or 5 ( 3 R T 2 )= 2700 R 2 +1500 R or T =380 ~K or 107^ C

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 Highly selective Backlog Qs for JEE Main PYQs