1Which is the dimensional formula of number density?
Number density works out to [L⁻³].
Heat and thermodynamicsClass 11, Kinetic Theory
Dimensional formula of Number density
[L-3]
The count of molecules per unit volume. The count itself has no dimension.
How to get the dimensional formula of number density
- Start from the definition: number density = 1 / volume.
- volume = length3, so volume is [L]3 = [L3].
- Put in the dimension of each part: 1 / [L3].
- Add the powers of each base quantity: [L-3].
Three questions on number density
2What is the SI unit of number density?
The SI unit of number density is the per cubic metre (m⁻³).
3Do number density and temperature gradient have the same dimensions?
Number density is [L⁻³] but temperature gradient is [L⁻¹ K].
Number density: quick answers
What is the dimensional formula of number density?
The dimensional formula of number density is [L⁻³]. It comes from number density = 1 / volume.
What is the SI unit of number density?
The SI unit of number density is the per cubic metre (m⁻³).
Is number density dimensionless?
No. Number density has the dimensions [L⁻³].