Dimensional formula of coefficient of volume expansion

Coefficient of volume expansion
[K−1]
Written in full: [M⁰ L⁰ T⁰ A⁰ K⁻¹]

How to derive it

Coefficient of volume expansion = Change in volume ÷ (Original volume × Rise in temperature)

Put in the dimensions of each part: [L³] ÷ ([L³] × [K]) = [K⁻¹].

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

SI unit

The SI unit of coefficient of volume expansion is K⁻¹.

Same dimensions as coefficient of volume expansion

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

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More from Thermal properties

QuantityFormula
Specific heat capacity[L2 T−2 K−1]
Latent heat[L2 T−2]
Thermal conductivity[M L T−3 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]
Temperature gradient[L−1 K]
Rate of heat flow[M L2 T−3]
Thermal resistance[M−1 L−2 T3 K]
Wien's constant[L K]