Question

The dimensions of Latent Heat are

Answer 1

Dimensions of Latent Heat

1. Latent heat can be defined as the energy or heat that is absorbed or released during a phase change.
2. Is is given by $L=\frac{E}{M}$ (where E is the energy released/absorbed and M is the mass)
3. Dimensional formula of the energy is $\left[M^1{L}^2{T}^{-2}\right]$
4. Dimensional formula of the mass is $\left[M^1{L}^0{T}^0\right]$
5. Therefore, $$\begin{gathered} L=\frac{\left[M^1{L}^2{T}^{-2}\right]}{\left[M^1{L}^0{T}^0\right]} \\ =\left[M^0{L}^2{T}^{-2}\right] \end{gathered}$$

Hence, the dimensions of Latent Heat are $\left[M^0{L}^2{T}^{-2}\right]$