Question

When a Molecule of a Gas Collides With the Wall of a Container It Gets Rebound and the Momentum Transferred To Wall is Equal To

Answer 1

Hint:When molecules collide with enough kinetic energy, gas-phase chemical reactions occur, according to the collision theory. Because the collision theory is based on the kinetic theory of gases, it only applies to gas-phase chemical processes.

Complete step-by-step solution:The assumption of an ideal gas is used. Furthermore, we assume that all molecules travel in a straight line through space.
Every molecule is a hard sphere.
Only two molecules are involved in the processes.
It is necessary for the molecules to collide.
An elastic collision is a collision between two bodies in which their total kinetic energy stays constant. There is no net transfer of kinetic energy into other forms such as heat, noise, or potential energy in an ideal, completely elastic collision. Kinetic energy is changed to potential energy associated with a repulsive or attractive force between the particles after a collision of tiny objects, and subsequently this potential energy is converted back to kinetic energy (when the particles move with this force, i.e. the angle between the force and the relative velocity is acute).
If ‘m' stands for mass and ‘v' stands for velocity. Then mv = momentum before contact.
Momentum after impact = -mv
mv − (-mv) =2mv is the change in momentum.
The molecules clash with one other or with the walls on a regular basis, changing their velocities. Elastic collisions occur when molecules collide with one another or with the walls. This means that the total kinetic energy remains constant. As is customary, the entire momentum is preserved.

Note:Because kinetic energy is transferred between the molecules' translational motion and their internal degrees of freedom with each collision, molecules in a gas or liquid, as opposed to atoms, seldom suffer completely elastic collisions. At any given time, half of the collisions are inelastic to different degrees (the pair has less kinetic energy in their translational movements after the impact than before), whereas the other half are “super-elastic.” As long as Planck's law prevents black-body photons from carrying energy away from the system, molecular collisions can be considered basically elastic when averaged across the whole sample.