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Antoine Equation Calculator

Vapor pressure from Antoine equation for 20+ chemicals: T→P_sat, P→T_boiling, and multi-substance P vs T comparison chart

Reviewed by Christopher FloiedPublished Updated

This free online antoine equation calculator provides instant results with no signup required. All calculations run directly in your browser — your data is never sent to a server. Supports both metric (SI) and imperial units with built-in unit selection dropdowns on every input field, so you can work in whatever units your problem provides. Designed for engineering students and professionals working through coursework, design projects, or quick reference calculations.

Vapor Pressure P_sat
101.3362 kPa
in mmHg
760.086 mmHg
in bar
1.01336 bar
in atm
1.00011 atm
Antoine Constants for Water
A = 8.07131
B = 1730.63
C = 233.426
T_min = 1°C
T_max = 100°C
log₁₀(P_sat/mmHg) = A − B/(C + T_°C)

Theory

Antoine Equation: log₁₀(P_sat/mmHg) = A − B/(C + T_°C)

Inverse (boiling point): T = B/(A − log₁₀(P_mmHg)) − C

Constants from NIST. Valid within Tmin–Tmax; extrapolation decreases accuracy.

1 mmHg = 0.133322 kPa · 1 atm = 101.325 kPa · 1 bar = 100 kPa

How to Use This Calculator

1

Enter your input values

Fill in all required input fields for the Antoine Equation Calculator. Most fields include unit selectors so you can work in your preferred unit system — metric or imperial, whichever matches your problem.

2

Review your inputs

Double-check that all values are correct and that you have selected the right units for each field. Incorrect units are the most common source of calculation errors and can produce results that are off by factors of 2, 10, or more.

3

Read the results

The Antoine Equation Calculator instantly computes the output and displays results with units clearly labeled. All calculations happen in your browser — no loading time and no data sent to a server.

4

Explore parameter sensitivity

Try adjusting individual input values to see how the output changes. This is a quick and effective way to develop intuition about how different parameters influence the result and to identify which inputs have the largest effect.

Formula Reference

Antoine Equation Calculator Formula

See calculator inputs for the governing equation

Variables: All variables and their units are labeled in the calculator interface above. Input fields accept values in multiple unit systems — select your preferred unit from the dropdown next to each field.

When to Use This Calculator

  • Use the Antoine Equation Calculator when solving homework or exam problems that require quick numerical verification of your hand calculations — instant feedback helps identify arithmetic errors before they propagate.
  • Use it during the early design phase to rapidly iterate on parameters and narrow down feasible configurations before committing time to detailed finite element simulations or full design packages.
  • Use it when reviewing a colleague's calculation or checking a vendor's data sheet for plausibility — a quick sanity check can prevent costly downstream errors.
  • Use it to generate reference data for a technical report or presentation without manual computation, ensuring consistent, reproducible numbers throughout the document.
  • Use it in the field when a quick estimate is needed and a full engineering software package is not available.

About This Calculator

The Antoine Equation Calculator is a precision engineering calculation tool designed for students, engineers, and technical professionals. Vapor pressure from Antoine equation for 20+ chemicals: T→P_sat, P→T_boiling, and multi-substance P vs T comparison chart All calculations are performed using established engineering formulas from the relevant scientific literature and standards. Inputs support both metric (SI) and imperial unit systems, with unit conversion handled automatically — simply select your preferred unit from the dropdown next to each field. Results are computed instantly in the browser without sending data to a server, ensuring both speed and privacy. This calculator is intended as a supplementary tool for learning and design exploration; always verify results against authoritative references for safety-critical applications.

The Theory Behind It

The Antoine equation is a semi-empirical formula for vapor pressure of pure liquids as a function of temperature: log₁₀(P) = A − B/(C + T), where P is vapor pressure (usually in mmHg or Pa), T is temperature (usually in °C or K), and A, B, C are material-specific constants determined by fitting to experimental data. The equation is valid over the temperature range for which the constants were fitted, typically from freezing point to critical temperature for well-characterized substances. Outside this range, the equation can give wildly inaccurate results. Antoine constants are tabulated in Perry's Chemical Engineers' Handbook, NIST WebBook, DIPPR, and other references for thousands of compounds. The inverse relationship gives temperature from pressure: T = B/(A − log₁₀(P)) − C, useful for finding the boiling point at a specific pressure. At standard atmospheric pressure (760 mmHg), this gives the 'normal boiling point.' The Antoine equation is fundamental to: bubble point and dew point calculations, distillation design (VLE analysis), cryogenic system design, and thermodynamic property calculations. For mixtures, Raoult's law combines individual Antoine equations: P_total = Σ x_i · P_i^sat(T). Modifications like the 'extended Antoine' include additional temperature terms for better fit over wider ranges. The calculator uses stored Antoine constants for 20+ common chemicals to compute P_sat(T) and T_boil(P).

Real-World Applications

  • Distillation column design: compute vapor pressures of components at various temperatures for VLE and bubble/dew point calculations.
  • Process safety analysis: compute maximum expected vapor pressure in storage tanks for sizing relief valves and containment systems.
  • Volatility and evaporation rate: estimate how fast a liquid will evaporate at a given temperature from its vapor pressure.
  • Cryogenic system design: compute boiling temperatures of liquids at sub-atmospheric pressures for vacuum chambers and cryogenic plants.
  • Flash point prediction: relate vapor pressure to ignition hazards in flammable liquid storage and handling.

Frequently Asked Questions

What is the Antoine equation?

A semi-empirical equation for vapor pressure of pure liquids: log₁₀(P) = A − B/(C + T), where A, B, C are material-specific constants. It's one of the most widely used VLE correlations because it's simple, accurate for most common chemicals over the relevant temperature range, and easy to tabulate. Named after Louis Charles Antoine who first proposed it in 1888.

What are Antoine constants?

Three constants A, B, C specific to each chemical, determined by fitting experimental vapor pressure data. For water: A = 8.07131, B = 1730.63, C = 233.426 (with P in mmHg, T in °C). Different references use different units, so always check the units before using the constants. NIST WebBook is a reliable source.

How accurate is the Antoine equation?

Typically within 1-5% over the fitted range, which is adequate for most engineering calculations. Extrapolation outside the fitted range gives progressively larger errors. For high-precision work near the critical point or at very low temperatures, use more sophisticated equations (Wagner, extended Antoine) with more parameters.

How do I find the boiling point at a specific pressure?

Rearrange Antoine: T = B/(A − log₁₀(P)) − C. For water at 1 atm (760 mmHg): T = 1730.63/(8.07131 − log₁₀(760)) − 233.426 = 1730.63/(8.07131 − 2.881) − 233.426 = 100.1°C. Close to the true normal boiling point of 100°C (small error reflects the accuracy of Antoine).

Why does vapor pressure increase with temperature?

Higher temperature gives molecules more kinetic energy, increasing the fraction that have enough energy to escape the liquid phase and enter the vapor. The temperature dependence is approximately exponential at moderate temperatures and can be derived from the Clausius-Clapeyron equation: d(lnP)/dT = ΔH_vap/(RT²). The Antoine equation is a convenient approximation to this exponential behavior.

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References & Further Reading

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