# Dimensions of Heat Energy

## Dimensional Formula of Heat Energy

The dimensional formula of Heat Energy is given by,

[M1 LT-2]

Where,

• M = Mass
• L = Length
• T = Time

### Derivation

Energy is the ability to do work.

dimensional formula of Energy = dimensional formula of Work

Work (W) = Force (F) × Displacement . . . . . (1)

Since, F = M × a = M × [M0 L1 T-2]

∴ The dimensions of Force (F) = M1 L1 T-2 . . . . (2)

On substituting equation (2) in equation (1) we get,

Work = [MLT-2] × [MLT0] = [M1 LT-2].

Therefore, heat energy is dimensionally represented as [M1 LT-2].