Enter the initial volume, expansion coefficient, and temperature change into the calculator to determine the final volume after thermal expansion.
Volume Increase Formula
The following formula is used to calculate the final volume after thermal expansion:
V_f = V_i * (1 + β * ΔT)
Variables:
- V_f is the final volume after expansion (liters)
- V_i is the initial volume (liters)
- β is the expansion coefficient (1/°C)
- ΔT is the temperature change (°C)
To calculate the final volume after thermal expansion, multiply the initial volume by the sum of 1 and the product of the expansion coefficient and the temperature change.
What is Volume Increase?
Volume increase due to thermal expansion is the change in volume of a material when it is heated or cooled. The amount of expansion or contraction is determined by the material’s expansion coefficient and the degree of temperature change. This concept is critical in engineering and construction, as it affects the design of structures, containers, and systems that must accommodate changes in volume due to temperature fluctuations.
How to Calculate Volume Increase?
The following steps outline how to calculate the final volume after thermal expansion:
- First, determine the initial volume (V_i) in liters.
- Next, determine the expansion coefficient (β) in 1/°C.
- Next, determine the temperature change (ΔT) in degrees Celsius.
- Next, gather the formula from above = V_f = V_i * (1 + β * ΔT).
- Finally, calculate the final volume (V_f) in liters.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
initial volume (V_i) = 50 liters
expansion coefficient (β) = 0.00016 1/°C
temperature change (ΔT) = 30 °C
