Antoine Equation Calculator

Calculate vapor pressure with detailed step-by-step derivation.

Result:

What is the Antoine Equation?

The Antoine equation is an empirical mathematical relationship used to estimate the vapor pressure of pure liquids or solids as a function of temperature. It is derived from the Clausius-Clapeyron relation and is widely used in chemical engineering and thermodynamics to predict phase equilibria.

The standard form of the equation used in most engineering handbooks is:
log10(P) = A - [B / (T + C)]

Where P is the vapor pressure, T is the temperature, and A, B, and C are substance-specific coefficients (Antoine constants). Note that these constants are specific to a temperature range; using them outside their intended range can lead to significant inaccuracies.

How to Use This Calculator

To use this Antoine equation calculator, follow these steps:

  • Identify your substance: Find the constants A, B, and C for the specific chemical you are studying (e.g., Water, Ethanol, Benzene).
  • Check Units: Ensure your constants match the units of your temperature (usually Celsius) and desired pressure (usually mmHg or kPa).
  • Input Values: Enter the three constants and the temperature value into the respective fields.
  • Analyze Steps: Review the step-by-step breakdown to see how the logarithmic calculation converts into the final pressure value.

Frequently Asked Questions

What units are used for A, B, and C?

There is no universal set of units. Some tables use log10 with Celsius and mmHg, while others use natural logs (ln) with Kelvin and Pascals. Always verify the source of your constants before calculation.

Why is my result negative?

If the math results in a negative pressure, it is likely that the temperature input is significantly outside the valid range for the constants provided, or the constant C value is causing a mathematical singularity (division by zero).

Can this be used for mixtures?

The Antoine equation is strictly for pure components. For mixtures, you would typically use Raoult's Law or Modified Raoult's Law in conjunction with individual Antoine calculations for each component.