Water Volume Expansion Formula:
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Thermal expansion is the tendency of matter to change in volume in response to temperature changes. For water, this expansion follows a predictable pattern described by the formula V = V₀ × (1 + β × ΔT), where β is the expansion coefficient.
The calculator uses the thermal expansion formula:
Where:
Explanation: The formula calculates how much a volume of water expands or contracts when temperature changes. The default β value (0.000214/°C) represents water's expansion coefficient at 20°C.
Details: Accurate volume calculation is crucial for engineering systems, plumbing design, environmental studies, and any application where temperature changes affect water volume in closed systems.
Tips: Enter initial volume in m³, expansion coefficient in /°C (default is for water at 20°C), and temperature change in °C. Positive ΔT indicates temperature increase, negative indicates decrease.
Q1: Why does water's expansion coefficient vary?
A: Water's expansion coefficient changes with temperature and pressure. The calculator uses a standard value for 20°C, but actual coefficient may vary in different conditions.
Q2: Is the expansion linear with temperature?
A: For small temperature ranges, the expansion is approximately linear. For larger ranges, higher-order terms may be needed for accuracy.
Q3: Does this work for water freezing?
A: No. Water behaves unusually when freezing - it expands about 9% when turning to ice, which isn't described by this simple formula.
Q4: Can I use this for other liquids?
A: Yes, but you must use the appropriate expansion coefficient (β) for the specific liquid.
Q5: What are practical applications of this calculation?
A: Designing expansion tanks in heating systems, calculating thermal stress in pipes, and environmental modeling of water bodies.