What is the dimensional formula of heat capacity?

The dimensional formula of heat capacity is [M L² T⁻² K⁻¹], which comes from heat capacity = heat ÷ rise in temperature.

Dimensional formula of heat capacity

The SI unit of heat capacity is J/K.

Heat capacity

[M L² T⁻² K⁻¹]

Written in full: [M¹ L² T⁻² A⁰ K⁻¹]

Heat capacity = Heat ÷ Rise in temperature

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

The SI unit of heat capacity is J/K.

These quantities have exactly the same dimensions, a favourite trick in JEE and NEET "which pair has the same dimensions" questions:

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]
Temperature gradient	[L⁻¹ K]
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]