Question

A closed compartment containing gas is moving with some acceleration in horizontal direction. Neglect effect of gravity. Then the pressure in the compartment is
A. Same everywhere
B. Lower in the front side
C. Lower in the rear side
D. Lower in the upper side

Answer 1

A gas's particles travel fast in all directions, but they don't get very far before colliding with each other or the container's walls. When gas particles collide with the container's walls, pressure is created. The higher the pressure, the more often the particles strike the walls and the quicker they are travelling when they do so. When more air is put into a tyre or a balloon, the pressure rises.

Complete step by step solution:
Pressure is defined as the force a material exerts on another substance per unit area. The force that the gas exerts on the container limits is known as the gas pressure. The gas molecules move about in a random pattern inside the given volume. They clash with the surface as well as each other during this movement. Each gas molecule has a very tiny influence that is difficult to visualise. The gas pressure, on the other hand, is the result of the combined collision of all the gas molecules. The pressure would increase as the number of collisions increased.
When a gas is accelerated in the positive x-direction, the pressure of the gas decreases along the positive x-axis, and the equation $\Delta {\text{P = - }}\rho {\text{adx}}$ is used.
Where $\rho$ is the container's density and a is its acceleration.
As a result, the pressure on the back side will be higher, while the front side will be lower.
The pressure on the back side would be higher owing to fake force on the back face (operating in the opposite direction of acceleration). As a result, the pressure at the front would be reduced.
Therefore option (B) is correct.

Note:
When gas molecules collide with the container's walls, the molecules transmit momentum to the walls, resulting in a force that is perpendicular to the wall. The pressure is defined as the total of all the pressures of all the molecules impacting the wall divided by the area of the wall. The average linear momentum of a gas's moving molecules is then measured by its pressure. The pressure operates perpendicular (normal) to the wall, and the tangential (shear) component of the force is proportional to the gas viscosity.