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According to kinetic theory of gases
[ITT JEE 2011]
- a)collision are always elastic
- b)heavier molecules transfer more momentum to the walls of the container
- c)only a small number of molecules have very high velocity
- d)between collision the molecules move in the straight line with constant velocities
Correct answer is option 'A,C,D'. Can you explain this answer?
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According to kinetic theory of gases[ITTJEE 2011]a)collision are alway...
According to me, all statements are correct.
As per the postulates of the kinetic theory of gases, the molecules of gas collide with each other and with the walls of the container. These collisions are perfectly elastic in nature.
The gas molecule with mass m and speed u collides with the walls of the container to transfer the momentum Δp=−2mu. Thus heavier molecules transfer more momentum to the walls of the container. But this is not the postulate of the kinetic theory of gases.
As per Maxwell -Boltzmann distribution of molecular speed, very few molecules move with very high or very low speed. Most of the molecules move with average speed. Hence, only a small number of molecules have very high
velocity.
According to the kinetic theory of gases, a gas molecule moves in straight line with constant velocity. When it collides with another molecule, it changes direction. Between collisions, the molecules move in straight lines with constant velocities.
As per the postulates of the kinetic theory of gases, the molecules of gas collide with each other and with the walls of the container. These collisions are perfectly elastic in nature.
The gas molecule with mass m and speed u collides with the walls of the container to transfer the momentum Δp=−2mu. Thus heavier molecules transfer more momentum to the walls of the container. But this is not the postulate of the kinetic theory of gases.
As per Maxwell -Boltzmann distribution of molecular speed, very few molecules move with very high or very low speed. Most of the molecules move with average speed. Hence, only a small number of molecules have very high
velocity.
According to the kinetic theory of gases, a gas molecule moves in straight line with constant velocity. When it collides with another molecule, it changes direction. Between collisions, the molecules move in straight lines with constant velocities.
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According to kinetic theory of gases[ITTJEE 2011]a)collision are alway...
Understanding Kinetic Theory of Gases
The kinetic theory of gases provides insights into the behavior of gas molecules. Here’s a breakdown of the options presented in the question:
Option A: Collisions are always elastic
- In the kinetic theory, it is assumed that gas molecules collide with each other and with the walls of the container in an elastic manner.
- This means that there is no net loss of kinetic energy in the system during collisions.
- As a result, the total energy of the gas remains constant, which is a fundamental assumption of the theory.
Option B: Heavier molecules transfer more momentum to the walls of the container
- This statement is inaccurate according to kinetic theory. While heavier molecules do have more mass, momentum transfer depends on both mass and velocity.
- In practice, lighter molecules at higher velocities can transfer significant momentum as well.
- Therefore, this option is not correct.
Option C: Only a small number of molecules have very high velocity
- This statement reflects the Maxwell-Boltzmann distribution, which shows that while most gas molecules have average speeds, only a few possess very high speeds.
- This characteristic is important in explaining phenomena like diffusion and effusion.
Option D: Between collisions, the molecules move in straight lines with constant velocities
- According to the kinetic theory, gas molecules travel in straight lines until they collide with another molecule or the walls of the container.
- During this free path, they maintain constant velocities, which is essential for understanding gas behavior.
In summary, options A, C, and D are consistent with the kinetic theory of gases, while option B is not. Understanding these principles aids in grasping the fundamental behaviors of gases in various conditions.
The kinetic theory of gases provides insights into the behavior of gas molecules. Here’s a breakdown of the options presented in the question:
Option A: Collisions are always elastic
- In the kinetic theory, it is assumed that gas molecules collide with each other and with the walls of the container in an elastic manner.
- This means that there is no net loss of kinetic energy in the system during collisions.
- As a result, the total energy of the gas remains constant, which is a fundamental assumption of the theory.
Option B: Heavier molecules transfer more momentum to the walls of the container
- This statement is inaccurate according to kinetic theory. While heavier molecules do have more mass, momentum transfer depends on both mass and velocity.
- In practice, lighter molecules at higher velocities can transfer significant momentum as well.
- Therefore, this option is not correct.
Option C: Only a small number of molecules have very high velocity
- This statement reflects the Maxwell-Boltzmann distribution, which shows that while most gas molecules have average speeds, only a few possess very high speeds.
- This characteristic is important in explaining phenomena like diffusion and effusion.
Option D: Between collisions, the molecules move in straight lines with constant velocities
- According to the kinetic theory, gas molecules travel in straight lines until they collide with another molecule or the walls of the container.
- During this free path, they maintain constant velocities, which is essential for understanding gas behavior.
In summary, options A, C, and D are consistent with the kinetic theory of gases, while option B is not. Understanding these principles aids in grasping the fundamental behaviors of gases in various conditions.
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According to kinetic theory of gases[ITTJEE 2011]a)collision are always elasticb)heavier molecules transfer more momentum to the walls of the containerc)only a small number of molecules have very high velocityd)between collision the molecules move in the straight line with constant velocitiesCorrect answer is option 'A,C,D'. Can you explain this answer?
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