According to kinetic theory of gases
- (A)collisions are always elastic.✓ Correct
- (B)heavier molecules transfer more momentum to the wall of the container.
- (C)only a small number of molecules have very high velocity.✓ Correct
- (D)between collisions, the molecules move in straight lines with constant velocities.✓ Correct
Answer: (A), (C), (D)
Solution
According to the kinetic theory of gases:
(A) Correct: Collisions between gas molecules and with the walls are perfectly elastic (no loss of kinetic energy).
(B) Incorrect: While heavier molecules have greater momentum at the same velocity, the statement is not universally true. At the same temperature, lighter molecules move faster and can transfer comparable momentum.
(C) Correct: The Maxwell-Boltzmann distribution shows that only a small fraction of molecules have very high velocities; most have velocities near the average.
(D) Correct: Between collisions, gas molecules move in straight lines with constant velocities (no forces acting on them).
(A) Correct: Collisions between gas molecules and with the walls are perfectly elastic (no loss of kinetic energy).
(B) Incorrect: While heavier molecules have greater momentum at the same velocity, the statement is not universally true. At the same temperature, lighter molecules move faster and can transfer comparable momentum.
(C) Correct: The Maxwell-Boltzmann distribution shows that only a small fraction of molecules have very high velocities; most have velocities near the average.
(D) Correct: Between collisions, gas molecules move in straight lines with constant velocities (no forces acting on them).
JEE Advanced · 2011 · 10 Apr 2011 · Paper 1 · One or more correct options