1Which of these has the same dimensions as coefficient of volume expansion?
Coefficient of volume expansion and temperature coefficient of resistance both have the dimensions [K⁻¹].
Heat and thermodynamicsClass 11, Thermal Properties of Matter
Dimensional formula of Coefficient of volume expansion
[K-1]
Fractional change in volume per kelvin, about three times the linear coefficient for a solid.
How to get the dimensional formula of coefficient of volume expansion
- Start from the definition: coefficient of volume expansion = volume / (volume × temperature).
- volume = length3, so volume is [L]3 = [L3].
- Put in the dimension of each part: [L3] / ([L3] × [K]).
- Add the powers of each base quantity: [K-1].
Quantities with the dimensions [K⁻¹]
Equal dimensions do not make them the same quantity. Compare coefficient of volume expansion with the others in the full grid.
Three questions on coefficient of volume expansion
2What is the SI unit of coefficient of volume expansion?
The SI unit of coefficient of volume expansion is the per kelvin (K⁻¹).
3Which one has different dimensions from the others?
Mean free path is [L]. The other three are all [K⁻¹].
Coefficient of volume expansion: quick answers
What is the dimensional formula of coefficient of volume expansion?
The dimensional formula of coefficient of volume expansion is [K⁻¹]. It comes from coefficient of volume expansion = volume / (volume × temperature).
What is the SI unit of coefficient of volume expansion?
The SI unit of coefficient of volume expansion is the per kelvin (K⁻¹).
Which quantities have the same dimensions as coefficient of volume expansion?
Coefficient of volume expansion shares [K⁻¹] with coefficient of linear expansion, temperature coefficient of resistance. Equal dimensions do not make them the same quantity.