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

A cylindrical tube of length 30 cm is partitioned by a tight-fitting separator, as shown in the figure. The separator can freely slide along the tube and is very weakly conducting. The two parts of the vessel are filled with ideal gases. Initially, the temperatures in parts A and B are 400 K and 100 K , respectively, and the separator slides to the momentary equilibrium position indicated. Determine the final equilib

Options

  1. A10 cm from the left end
  2. B15 cm from the left end
  3. C25 cm from the left end
  4. D20 cm from the left end

Correct answer

A. 10 cm from the left end

Step-by-step solution

At the momentary equilibrium, the pressures in both parts are equal. Let this pressure be P and the cross-sectional area of the tube be S . Using the ideal gas equation PV = nRT , the number of moles in part A and part B are: n_A = P(20S) R(400) n_B = P(10S) R(100) The ratio of the number of moles is: n_A n_B = 20/400 10/100 = 1/20 1/10 = 1 2 After a long time, the system reaches thermal equilibrium because the separator is weakly conducting. The final temperatures in both parts will be equal, say T . Since the sep

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