Vapor Pressure of Water Calculator
Calculate water vapor pressure at any temperature using Antoine, Magnus, Tetens, Buck, and simplified formulas.
Vapor Pressure of Water Calculator
The Vapor Pressure of Water Calculator computes the equilibrium vapor pressure of liquid water (or ice) at any temperature. Water vapor pressure increases with temperature as more molecules gain enough energy to escape the liquid phase.
This calculator supports five empirical formulas, each tuned for different accuracy ranges:
- Buck equation: Most accurate from 0 to 100 °C (within 0.1% of reference values).
- Antoine equation: Industry standard, with separate coefficients below and above 100 °C.
- Tetens equation: Best for 0 to 50 °C.
- Magnus equation: Common in meteorology for humidity calculations.
- Simplified formula: Quick approximation using exponential form.
The Antoine equation for water below 100 °C is:
$$P = 10^{A - \frac{B}{C + T}} \quad (\mathrm{mmHg})$$
with $A = 8.07131$, $B = 1730.63$, $C = 233.426$, and $T$ in °C. At 30 °C, water vapor pressure is about 4.25 kPa (31.8 torr). At 100 °C it reaches 101.32 kPa (1 atm), the normal boiling point.
Related tools: Vapor Pressure Calculator, Relative Humidity Calculator, and Vapor Pressure Deficit Calculator.
Frequently Asked Questions
What is water vapor pressure?
Water vapor pressure is the partial pressure of water vapor in equilibrium with liquid water at a given temperature. It represents the tendency of water molecules to escape into the gas phase.
Which formula is most accurate?
The Buck equation is generally most accurate from 0 to 100 °C, typically within 0.1% of reference tables. Antoine is widely used in engineering and also performs well across this range.
Does vapor pressure work below 0 °C?
Yes. Below 0 °C the calculator uses ice-adjusted coefficients in the Buck and Tetens formulas to estimate vapor pressure over ice rather than liquid water.
Why is water vapor pressure important?
Water vapor pressure drives evaporation, humidity, weather patterns, and industrial processes like distillation and drying. It is essential for HVAC design, meteorology, and chemistry lab work.