Dimensional formula of boltzmann constant

How to derive it

Boltzmann constant = Energy ÷ Temperature

Put in the dimensions of each part: [ML²T⁻²] ÷ [K] = [M L² T⁻² K⁻¹].

mass (M)

1

length (L)

2

time (T)

-2

current (A)

0

temperature (K)

-1

SI unit

The SI unit of boltzmann constant is J/K.

Same dimensions as boltzmann constant

None of the other quantities on this site share these exact dimensions.