What is the dimensional formula of temperature gradient?

The dimensional formula of temperature gradient is [L⁻¹ K], which comes from temperature gradient = temperature difference ÷ distance.

Dimensional formula of temperature gradient

The SI unit of temperature gradient is K/m.

Temperature gradient

[L⁻¹ K]

Written in full: [M⁰ L⁻¹ T⁰ A⁰ K¹]

Temperature gradient = Temperature difference ÷ Distance

Put in the dimensions of each part: [K] ÷ [L] = [L⁻¹ K].

The SI unit of temperature gradient is K/m.

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

Quantity	Formula
Specific heat capacity	[L² T⁻² K⁻¹]
Latent heat	[L² T⁻²]
Thermal conductivity	[M L T⁻³ K⁻¹]
Coefficient of linear expansion	[K⁻¹]
Stefan–Boltzmann constant	[M T⁻³ K⁻⁴]
Heat capacity	[M L² T⁻² K⁻¹]
Entropy	[M L² T⁻² K⁻¹]
Coefficient of volume expansion	[K⁻¹]
Rate of heat flow	[M L² T⁻³]
Thermal resistance	[M⁻¹ L⁻² T³ K]
Wien's constant	[L K]