Examples of volume or cubic expansivity and calculations in physics
1. The volume expansivity of a material is given by the formula:
β = 1/V * (∂V/∂T)
where β is the volume expansivity, V is the volume, and ∂V/∂T is the change in volume with respect to the change in temperature.
2. For example, if a material has a volume of 100 cm³ and its volume increases to 105 cm³ when the temperature changes by 10°C, then the volume expansivity can be calculated as:
β = 1/100 * (105-100)/10
β = 1/100 * 0.5
β = 0.005 per °C
3. Another example is if a gas occupies a volume of 200 mL at a temperature of 300 K and expands to a volume of 210 mL when the temperature is increased to 310 K. The volume expansivity of the gas can be calculated as:
β = 1/200 * (210-200)/10
β = 1/200 * 1
β = 0.005 per K