Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEETPhysicsKinetic Theory of Gases

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The mean free path of gas molecules in a closed rigid container remains unchanged when the temperature of the gas is increased. Reason (R): The mean free path of gas molecules is inversely proportional to the number density of the gas, which remains constant in a closed rigid container. In the ligh

Options

  1. ABoth (A) and (R) are correct and (R) is the correct explanation of (A)
  2. BBoth (A) and (R) are correct but (R) is not the correct explanation of (A)
  3. C(A) is correct but (R) is not correct
  4. D(A) is not correct but (R) is correct

Correct answer

A. Both (A) and (R) are correct and (R) is the correct explanation of (A)

Step-by-step solution

The mean free path of a gas molecule is given by the formula: = 1 2 d^2 n where d is the diameter of the molecule and n is the number density (number of molecules per unit volume, n = N V ). In a closed rigid container, both the total number of gas molecules ( N ) and the volume of the container ( V ) remain constant. Therefore, the number density ( n ) of the gas remains constant regardless of any change in temperature. Since the number density does not change, the mean free path of the gas molecules also remains

Practice Kinetic Theory of Gases on Quantrex Academy →

More from Kinetic Theory of Gases

Pressure exerted by an ideal gas on the walls of the container is equal to a) mean kinetic energy per unit volume. b) half of mean kinetic energy per unit volume. c) one-third of m 2026Two litre of an ideal gas at 42^ C is heated at a constant pressure to 357^ C . Then the final volume is 2026The temperature at which the mean kinetic energy of the molecules of gas is ( 1 4 )^ th of the mean kinetic energy of its molecules at 147^ C is 2026There are two vessels A and B with rigid walls containing ideal gases. The pressure, temperature and volume are P_A , T_A and V in the vessel A and P_B , T_B and V in vessel B. The 2026The pressure P , volume V and temperature T of a gas in the jar A and the other gas in the jar B is at pressure 2P , volume V/4 and temperature 2T , then the ratio of the number of 2026The temperature at which the root-mean-square speed of carbon dioxide molecules becomes just sufficient for escaping Earth's atmosphere is approximately (Mass of carbon dioxide mol 2026If the ratio of specific heat of gas = C_p C_v , then the value of C_p in terms of and gas constant R is 2026The internal energy per molecule for a diatomic (non-rigid) gas is (where k_B is Boltzmann's constant and T is absolute temperature). 2026 Full Kinetic Theory of Gases list All NEET PYQs