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SI base quantitiesClass 11, Units and Measurements

Dimensional formula of Temperature

[K]

SymbolT SI unitkelvin (K)

The SI base quantity for thermodynamic temperature. A change of one kelvin equals a change of one degree Celsius.

Derivation

How to get the dimensional formula of temperature

  1. Temperature is one of the seven SI base quantities, so its dimension is written directly: [K].
Practice

Three questions on temperature

1Which is the dimensional formula of temperature?

2What is the SI unit of temperature?

3Do temperature and amount of substance have the same dimensions?

Try it

An equation that uses temperature

Equation checker

Matching dimensions are necessary, not sufficient. A check cannot see pure numbers such as 1/2 or 2π, so a consistent equation can still be wrong.

Read asP V = n R T
PV[M L2 T-2]nRT[M L2 T-2]
Dimensionally consistentEvery term is [M L2 T-2]
Questions

Temperature: quick answers

What is the dimensional formula of temperature?

The dimensional formula of temperature is [K]. It is one of the seven SI base quantities.

What is the SI unit of temperature?

The SI unit of temperature is the kelvin (K).

Is temperature dimensionless?

No. Temperature has the dimensions [K].

Open the dimensional formula tool