Answer to Question #206430 in Physics for David

Question

The increase in the volume of 10cm of mercury when the temperature rises by 100celsius is 0.812cm.what is the cubic expansivity

Answer 1

By the definition of the volume thermal expansion, we have:

$$\Delta V=\beta V_0 \Delta T,$$ $$\beta=\dfrac{\Delta V}{V_0 \Delta T},$$ $$\beta=\dfrac{0.812\ cm^3}{10\ cm^3\cdot100^{\circ}C}=8.12\cdot10^{-4}\ ^{\circ}C^{-1}.$$