Vapor Pressure Calculator
Our chemical thermodynamics calculator computes vapor pressure accurately. Enter measurements for results with formulas and error analysis.
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The Clausius-Clapeyron equation relates vapor pressure change to temperature through the enthalpy of vaporization. The Antoine equation uses three empirical constants (A, B, C) for more accurate estimates over wider temperature ranges. Both allow calculation of vapor pressure at any temperature.
Last reviewed: December 2025
Worked Examples
Example 1: Water Vapor Pressure at 80 C
Example 2: Ethanol Using Antoine Equation
Background & Theory
The Vapor Pressure Calculator applies the following established principles and formulas. Chemistry is the science of matter's composition, structure, properties, and transformations. At the heart of quantitative chemistry lies the mole concept. One mole of any substance contains exactly 6.022ร10ยฒยณ entities (Avogadro's number, Nโ), and the molar mass of an element or compound in grams per mole is numerically equal to its atomic or molecular mass in atomic mass units. This allows chemists to convert between measurable mass and the number of reacting particles. Stoichiometry uses balanced chemical equations to relate the amounts of reactants and products. A balanced equation conserves both mass and charge. Molarity, the most common concentration unit, is defined as M = n/V, where n is moles of solute and V is volume of solution in liters, giving units of mol/L. Acidity and basicity are quantified by the pH scale, defined as pH = โlogโโ[Hโบ], where [Hโบ] is the molar concentration of hydrogen ions. Pure water at 25ยฐC has pH 7.00; acids have lower values and bases higher values. Each unit change represents a tenfold change in hydrogen ion concentration. Gas behavior is described by the ideal gas law PV = nRT, where P is pressure in pascals, V is volume in cubic meters, n is moles, R = 8.314 J/(molยทK), and T is temperature in kelvin. Special cases include Boyle's Law (PโVโ = PโVโ at constant temperature) and Charles's Law (Vโ/Tโ = Vโ/Tโ at constant pressure). Thermochemistry quantifies heat changes in reactions through enthalpy, H. Hess's Law states that the total enthalpy change for a reaction is the sum of enthalpy changes for any sequence of steps leading to the same overall reaction, making it possible to calculate enthalpies for reactions that cannot be measured directly. Electron configuration describes the distribution of electrons in atomic orbitals according to the Aufbau principle, Pauli exclusion principle, and Hund's rule. Periodic trends including atomic radius, ionization energy, and electronegativity arise systematically from electron configuration and nuclear charge, enabling chemists to predict and rationalize chemical behavior across the periodic table.
History
The history behind the Vapor Pressure Calculator traces back through the following developments. Chemistry's roots lie in alchemy, the medieval practice combining proto-scientific experimentation with mystical aims. Alchemists developed practical techniques including distillation, calcination, and the preparation of acids, building a body of empirical knowledge despite their theoretical misunderstandings. Modern chemistry is conventionally dated to Antoine Lavoisier (1743โ1794), often called the father of modern chemistry. Lavoisier demonstrated the law of conservation of mass in 1789, showing that matter is neither created nor destroyed in chemical reactions. He identified oxygen's role in combustion, dismantling the phlogiston theory, and co-authored the first systematic chemical nomenclature, establishing the language still used today. John Dalton proposed the first modern atomic theory in 1803, asserting that all matter is composed of indivisible atoms, that atoms of the same element are identical in mass, and that compounds form from fixed ratios of different atoms. This provided a physical basis for Lavoisier's conservation law and Proust's law of definite proportions. Dmitri Mendeleev published his periodic table in 1869, arranging the 63 known elements by atomic mass and revealing repeating patterns of chemical behavior. He boldly left gaps for undiscovered elements and predicted their properties with remarkable accuracy, predictions confirmed by the subsequent discovery of gallium, scandium, and germanium. Ernest Rutherford's gold foil experiment in 1911 revealed the nuclear model of the atom: a tiny, dense, positively charged nucleus surrounded by electrons. Niels Bohr refined this in 1913 with a quantized model of electron orbits that explained the hydrogen emission spectrum. Quantum chemistry and molecular orbital theory, developed through the 1920s and 1930s, provided the full quantum mechanical description of chemical bonding. The latter 20th century saw the rise of computational chemistry, enabling molecular simulation at unprecedented scale. The green chemistry movement, articulated in the 12 Principles of Green Chemistry in 1998, reoriented the field toward sustainability, waste reduction, and benign chemical design, reflecting chemistry's growing awareness of its environmental responsibilities.
Frequently Asked Questions
Formula
ln(P2/P1) = (-deltaHvap/R)(1/T2 - 1/T1) | log(P) = A - B/(C+T)
The Clausius-Clapeyron equation relates vapor pressure change to temperature through the enthalpy of vaporization. The Antoine equation uses three empirical constants (A, B, C) for more accurate estimates over wider temperature ranges. Both allow calculation of vapor pressure at any temperature.
Worked Examples
Example 1: Water Vapor Pressure at 80 C
Problem: Calculate the vapor pressure of water at 80 C (353.15 K) given P = 101.325 kPa at 100 C (373.15 K) and deltaHvap = 40700 J/mol.
Solution: ln(P2/101.325) = (-40700/8.314)(1/353.15 - 1/373.15)\nln(P2/101.325) = (-4893.4)(-0.000152) = -0.7426\nP2 = 101.325 x e^(-0.7426) = 48.15 kPa
Result: P = 48.15 kPa (361.2 mmHg) at 80 C
Example 2: Ethanol Using Antoine Equation
Problem: Find the vapor pressure of ethanol at 50 C using Antoine constants A = 8.20417, B = 1642.89, C = 230.300.
Solution: log10(P) = 8.20417 - 1642.89/(230.300 + 50)\nlog10(P) = 8.20417 - 5.8602 = 2.3440\nP = 10^2.3440 = 220.8 mmHg = 29.44 kPa
Result: P = 220.8 mmHg (29.44 kPa) at 50 C
Frequently Asked Questions
What is vapor pressure?
Vapor pressure is the pressure exerted by a vapor in thermodynamic equilibrium with its condensed phases (solid or liquid) at a given temperature in a closed system. When a liquid is placed in a sealed container, molecules continuously escape from the liquid surface into the vapor phase (evaporation) and return from the vapor to the liquid (condensation). At equilibrium, these rates are equal, and the pressure of the vapor above the liquid is the vapor pressure. Every substance has a characteristic vapor pressure that increases with temperature because higher temperatures give more molecules enough kinetic energy to escape into the vapor phase.
Why is vapor pressure important in chemistry?
Vapor pressure is crucial in many chemical and industrial processes. It determines the boiling point of a substance (a liquid boils when its vapor pressure equals atmospheric pressure), governs evaporation rates, and controls the behavior of solutions through Raoult's law. In environmental science, vapor pressure dictates how quickly pollutants evaporate into the atmosphere. In pharmacy, it affects drug formulation and storage stability. Industrial applications include distillation design, vacuum system engineering, and refrigeration cycle optimization. Understanding vapor pressure is also essential for safety, as volatile substances with high vapor pressures pose greater fire and explosion risks.
How do I get the most accurate result?
Enter values as precisely as possible using the correct units for each field. Check that you have selected the right unit (e.g. kilograms vs pounds, meters vs feet) before calculating. Rounding inputs early can reduce output precision.
How do I interpret the result?
Results are displayed with a label and unit to help you understand the output. Many calculators include a short explanation or classification below the result (for example, a BMI category or risk level). Refer to the worked examples section on this page for real-world context.
Can I use Vapor Pressure Calculator on a mobile device?
Yes. All calculators on NovaCalculator are fully responsive and work on smartphones, tablets, and desktops. The layout adapts automatically to your screen size.
Does Vapor Pressure Calculator work offline?
Once the page is loaded, the calculation logic runs entirely in your browser. If you have already opened the page, most calculators will continue to work even if your internet connection is lost, since no server requests are needed for computation.
References
Reviewed by Manoj Kumar, Mathematics Educator ยท Editorial policy