Pressure from number density and kinetic energy

The ideal gas equation can be written in an equivalent way using the number density of the gas and the average kinetic energy of gas particles.

Condition:

1. The gas is ideal.

Links:

1. Wikipedia.

average_kinetic_energy

Average kinetic_energy of gas particles.

Symbol:

avg(K)

Latex:

\(\langle K \rangle\)

Dimension:

energy

number_density

number_density of the gas.

Symbol:

n

Latex:

\(n\)

Dimension:

1/volume

pressure

pressure inside the gas.

Symbol:

p

Latex:

\(p\)

Dimension:

pressure

law

p = 2 * n / 3 * avg(K)

Latex:

\[p = \frac{2 n}{3} \langle K \rangle\]