Q13CQ - College Physics (Urone)

Question

How is momentum related to the pressure exerted by a gas? Explain on the atomic and molecular level, considering the behavior of atoms and molecules.

Step-by-Step Solution

Answer

The pressure exerted by the gas causes an increase in the momentum of the molecules.

Step 1: Conceptual Introduction

An object's kinetic energy is the energy it has as a result of its motion. It is the amount of work required to accelerate a body of a given mass from rest to a certain velocity. The body keeps its kinetic energy gained during acceleration unless its speed changes.

Step 2: Describe the factors that affect momentum.

Momentum is the product of mass and velocity. So, momentum is directly proportional to mass and velocity. If the mass and velocity of a molecule change, its momentum will also change.

Here, you need to identify whether pressure changes the mass and velocity of molecules.

Step 3:Explain how pressure and momentum are related.

As the pressure is exerted by a gas on the molecules, the molecules will move in different directions. So, the frequency of collisions increases, and the speed of molecules also increases. This will result in an increase in the momentum of the molecule.

Therefore, pressure exerted by the gas causes an increase in the momentum of the molecules.