Question

The increase in the volume of 10cm cube of mercury when the temperature rise by 100 degree census 150.82cm what is the cubic expansivity of mercury

Answer 1

By definition, the cubic expansivity is:

$$\alpha_V = \dfrac{1}{V}\dfrac{\Delta V}{\Delta T}$$

where $V = 10cm^3$ is the initial volume, $\Delta V = 150.82cm^3$ is the increase in the volume, $\Delta T = 100\degree C = 100K$ is the increase in temperature. Thus, obtain:

$$\alpha_V = \dfrac{1}{10cm^3}\dfrac{150.82 cm^3}{100K} \approx 0.15K^{-1}$$

Answer. $0.15\space K^{-1}$.