If we consider molecules of an ideal gas in a box with a...

Name: Problem 17, Chapter 17: Arihant AIEEE Physics
Uploaded: 2021-09-21T15:05:52-08:00
Duration: 1 min 44 s
Channel: Ajay Singhal
Description: If we consider molecules of an ideal gas in a box with a frictionless piston and now the box is heated and piston moves slowly outwards, then: (a) the force on piston is due to molecular collision with piston (b) the molecules collide with piston and return back with same speed (c) the molecular collision with piston is inelastic (d) both (a) and (b) are correct

If we consider molecules of an ideal gas in a box with a frictionless piston and now the box is heated and piston moves slowly outwards, then: (a) the force on piston is due to molecular collision with piston (b) the molecules collide with piston and return back with same speed (c) the molecular collision with piston is inelastic (d) both (a) and (b) are correct

If we consider molecules of an ideal gas in a box with a frictionless piston and now the box is heated and piston moves slowly outwards, then:
(a) the force on piston is due to molecular collision with piston
(b) the molecules collide with piston and return back with same speed
(c) the molecular collision with piston is inelastic
(d) both (a) and (b) are correct

Key Concepts

Ideal Gas Model

The ideal gas model is a fundamental concept in thermodynamics that describes a collection of particles with no intermolecular forces and point-like sizes. In this model, the gas particles move randomly, undergoing elastic collisions with each other and with the walls of their container, which defines properties such as pressure and temperature. This assumption allows for a simplified yet effective description of gas behavior under many conditions.

Molecular Collisions and Pressure

Molecular collisions are central to understanding how gases exert pressure. Pressure is the result of the momentum transfer from gas molecules colliding with the walls or any movable barrier, such as a piston. Each collision imparts a small force, and collectively these impacts generate the pressure that can move a frictionless piston in a container.

Elastic Collisions

Elastic collisions are interactions where the total kinetic energy is conserved, meaning the particles rebound without any loss of speed or energy. In the context of an ideal gas, collisions with the container walls or a frictionless piston are considered elastic, ensuring that, aside from possible directional changes and energy shifts due to macroscopic motion of the boundary, the molecules maintain their speeds.

Quasistatic Processes

A quasistatic process is one that occurs slowly enough for the system to remain in (or very close to) thermodynamic equilibrium at all times. This concept is crucial when the piston moves slowly, ensuring that the gas continuously adjusts to a new equilibrium state, allowing the usual assumptions of ideal gas behavior and elastic molecular collisions to remain valid.

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