Dimensional formula of specific heat capacity

Specific heat capacity
[L2 T−2 K−1]
Written in full: [M⁰ L² T⁻² A⁰ K⁻¹]

How to derive it

Specific heat capacity = Heat ÷ (Mass × Temperature change)

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

mass (M)
0
length (L)
2
time (T)
-2
current (A)
0
temperature (K)
-1

SI unit

The SI unit of specific heat capacity is J/(kg·K).

Same dimensions as specific heat capacity

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

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More from Thermal properties

QuantityFormula
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]