Answer to Question #180364 in Physics for Esther

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