Number of impacts on the wall from area and speed

The number of impacts of molecules against the wall in a specified direction is proportional to the number density of the molecules, the area of the wall, the projection of velocity in said direction and time.

Conditions:

1. Gas is ideal.

2. Wall is flat and perpendicular to specified axis.

Links:

1. Chemistry LibreTexts, similar formula.

impact_count

Impact count.

Symbol:

N

Latex:

\(N\)

Dimension:

dimensionless

number_density

number_density of particles.

Symbol:

n

Latex:

\(n\)

Dimension:

1/volume

area

Wall area.

Symbol:

A

Latex:

\(A\)

Dimension:

area

velocity_projection

Projection of velocity vector in the given direction. See speed.

Symbol:

v

Latex:

\(v\)

Dimension:

velocity

time

time.

Symbol:

t

Latex:

\(t\)

Dimension:

time

law

N = n * A * v * t / 2

Latex:

\[N = \frac{n A v t}{2}\]