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Vapor Pressure Calculator

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### Thermodynamics & NIST Antoine Equation Standards The **NIST Chemistry WebBook** tabulates empirical parameters for the **Antoine Equation**, which provides higher accuracy across liquid-vapor.

Reviewed by Miss Saima · MA Mathematics
Last updated:
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Input Values

📊 Results

Vapor Pressure (mmHg / Torr)
23.69
mmHg
Vapor Pressure (kPa)
3.158
kPa
Vapor Pressure (Atmospheres)
0.0312
atm
Vapor Pressure (PSI)
0.458
psi
Vapor Pressure (Bar)
0.0316
bar
NIST Antoine Equation & Phase Equilibrium Insight
Thermodynamic Equilibrium (Water (H₂O) at 25.0°C / 77.0°F): Vapor pressure is 23.69 mmHg (Torr) = 3.158 kPa (0.0312 atm / 0.4580 psi / 0.0316 bar). When vapor pressure equals ambient atmospheric pressure (760 mmHg = 101.325 kPa), boiling occurs (normal boiling point: 100.0°C).
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📐 Formula

NIST Antoine Coefficients: log10(P_mmHg) = A - (B / (T_C + C))

💡 Practical Example

At room temperature (25°C), water exerts an equilibrium vapor pressure of 23.69 mmHg (3.158 kPa), which increases to 760.0 mmHg (101.325 kPa) at 100.0°C to initiate boiling.

📖 About Vapor Pressure Calculator

Thermodynamics & NIST Antoine Equation Standards

The NIST Chemistry WebBook tabulates empirical parameters for the Antoine Equation, which provides higher accuracy across liquid-vapor saturation curves than the idealized Clausius-Clapeyron relation.

Primary Vapor Pressure Equations

  • Antoine Equation ($P$ in mmHg, $T$ in $^\circ\text{C}$):

$$\log_{10}(P) = A - \frac{B}{T + C} \implies P = 10^{A - \frac{B}{T + C}}$$

  • Kilopascals (SI Base): $\text{kPa} = P_{\text{mmHg}} \times 0.133322$
  • Standard Atmospheres: $\text{atm} = \frac{P_{\text{mmHg}}}{760.0}$
  • Clausius-Clapeyron Differential Relation:

$$\ln\left(\frac{P_2}{P_1}\right) = -\frac{\Delta H_{\text{vap}}}{R} \left(\frac{1}{T_2} - \frac{1}{T_1}\right)$$

How to Use This Calculator

Enter Chemical Liquid Substance, Temperature, Temperature Unit into the input fields and the calculator will instantly compute Vapor Pressure, Vapor Pressure (kPa). All calculations happen in real time — no submission or page reload required. You can adjust any input value and see the result update immediately.

Understanding Your Result

The Vapor Pressure result gives you a precise, calculated value based on the inputs you provide. Compare your result against published benchmarks from NIST and ISO international standards to assess where you stand. A single calculation is a useful starting point, but tracking this metric over time — as inputs change — gives you a much more complete picture.

Practical Application

The Vapor Pressure is most useful when you have specific, real-world data to enter. For example: enter your actual Chemical Liquid Substance to calculate your vapor pressure. The result helps students, engineers, scientists, and educators make informed decisions about solving mathematical problems, verifying calculations, and teaching concepts. This calculator is trusted by professionals and individuals alike because it follows the exact formulas validated by NIST and ISO international standards.

Accuracy Notes and Limitations

Results are based on exact mathematical definitions. Verify that formula assumptions match your specific use case. The accuracy of any calculator is limited by the quality of the inputs provided. Double-check your units before entering values — unit errors are the most common source of incorrect results. For critical decisions, cross-reference with at least one additional source or professional consultation.

Frequently Used With

This calculator is often used alongside other math tools to build a complete analytical picture. Combining multiple related calculations provides stronger evidence for decisions than relying on any single metric. Browse the Math category to find complementary calculators for your specific use case.

💡 Mathematical Rigor & Applied Context

  • This calculator applies exact mathematical definitions following conventions established by NIST and international standards bodies.
  • Rounding errors accumulate across multi-step calculations. For precision-critical work, maintain extra significant figures through all intermediate steps.
  • Many mathematical concepts have multiple valid formulations — if a result seems unexpected, verify which convention or definition applies to your context.
  • Dimensional analysis (unit tracking) is the fastest way to catch formula errors. Every term in an equation must have consistent, compatible units.
  • Numerical methods used in digital calculators introduce floating-point precision limits (~15 significant digits for IEEE 754 double precision).
  • For statistical and probabilistic calculations, always specify whether you are working with population parameters or sample statistics — formulas differ.
  • Visualizing a problem geometrically or testing with known boundary values (zero, infinity, negative) reveals hidden errors faster than algebraic checking.
  • When in doubt, validate your result against a simplified hand calculation or a published worked example from a textbook or standards document.

Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.

Frequently Asked Questions

What is the Antoine Equation?

The Antoine Equation is an empirical mathematical relation (log10(P) = A - B/) that precisely models the vapor pressure of pure liquids as a function of temperature.

What is the vapor pressure of water at 25°C?

At 25°C (77°F), the vapor pressure of pure water is approximately 23.76 mmHg (3.168 kPa or 0.0313 atm).

How does vapor pressure relate to boiling point?

A liquid boils when its internal vapor pressure equals the surrounding ambient atmospheric pressure (760 mmHg at standard sea level).

Why does acetone have a higher vapor pressure than water?

Acetone has weaker intermolecular dipole forces than water's strong hydrogen bonding, allowing acetone molecules to escape into the vapor phase much more readily at room temperature.

What is the difference between vapor pressure and boiling point elevation?

Dissolving non-volatile solutes (like salt) in a liquid lowers its vapor pressure (Raoult's Law), which consequently raises its boiling point.

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