1Which is the dimensional formula of temperature gradient?
Temperature gradient works out to [L⁻¹ K].
Heat and thermodynamicsClass 11, Thermal Properties of Matter
Dimensional formula of Temperature gradient
[L-1 K]
How fast the temperature changes with distance along a conductor. It appears in the heat conduction equation.
How to get the dimensional formula of temperature gradient
- Start from the definition: temperature gradient = temperature / length.
- Put in the dimension of each part: [K] / [L].
- Add the powers of each base quantity: [L-1 K].
Three questions on temperature gradient
2What is the SI unit of temperature gradient?
The SI unit of temperature gradient is the kelvin per metre (K/m).
3Do temperature gradient and internal energy have the same dimensions?
Temperature gradient is [L⁻¹ K] but internal energy is [M L² T⁻²].
Temperature gradient: quick answers
What is the dimensional formula of temperature gradient?
The dimensional formula of temperature gradient is [L⁻¹ K]. It comes from temperature gradient = temperature / length.
What is the SI unit of temperature gradient?
The SI unit of temperature gradient is the kelvin per metre (K/m).
Is temperature gradient dimensionless?
No. Temperature gradient has the dimensions [L⁻¹ K].