Vapor pressure Information & Vapor pressure Links at HealthHaven.com

Vapor pressure or equilibrium vapor pressure is the pressure of a vapor in thermodynamic equilibrium with its condensed phases in a closed container. All liquids and solids have a tendency to evaporate into a gaseous form, and all gases have a tendency to condense back to their liquid or solid form.

The equilibrium vapor pressure is an indication of a liquid's evaporation rate. It relates to the tendency of particles to escape from the liquid (or a solid). A substance with a high vapor pressure at normal temperatures is often referred to as volatile.

The vapor pressure of any substance increases non-linearly with temperature according to the Clausius-Clapeyron relation. The atmospheric pressure boiling point of a liquid (also known as the normal boiling point) is the temperature where the vapor pressure equals the ambient atmospheric pressure. With any incremental increase in that temperature, the vapor pressure becomes sufficient to overcome atmospheric pressure and lift the liquid to form bubbles inside the bulk of the substance. Bubble formation deeper in the liquid requires a higher pressure, and therefore higher temperature, because the fluid pressure increases above the atmospheric pressure as the depth increases.

[edit] Measurement and units

Vapor pressure is measured in the standard units of pressure. The International System of Units (SI) recognizes pressure as a derived unit with the dimension of force per area and designates the pascal (Pa) as its standard unit. One pascal is one newton per square meter (N·m^-2 or kg·m^-1·s^-2).

Experimental measurement of vapor pressure is a simple procedure for common pressures between 1 and 200 kPa.^[1]. Most accurate result are obtained near the boiling point of substances and large errors result for measurements smaller than 1kPa.

[edit] Relation to boiling point of liquids

A typical vapor pressure chart for various liquids

As a general trend, vapor pressures of liquids at ambient pressures increase with decreasing boiling points. This is illustrated in the vapor pressure chart (see right) that shows graphs of the vapor pressures versus temperatures for a variety of liquids.^[2]

For example, at any given temperature, propane has the highest vapor pressure of any of the liquids in the chart. It also has the lowest normal boiling point (−42.1 °C), which is where the vapor pressure curve of propane (the purple line) intersects the horizontal pressure line of one atmosphere (atm) of absolute vapor pressure.

Although the relation between vapor pressure and temperature is non-linear, the chart uses a logarithmic vertical axis in order to obtain slightly curved lines so that one chart can graph many liquids.

[edit] Liquid mixtures

Raoult's law gives an approximation to the vapor pressure of mixtures of liquids. It states that the activity (pressure or fugacity) of a single-phase mixture is equal to the mole-fraction-weighted sum of the components' vapor pressures:

p_tot =	∑	p_iχ_i
	i

where p is vapor pressure, i is a component index, and χ is a mole fraction. The term $p i χ i$ is the vapor pressure of component i in the mixture. Raoult's Law is applicable only to non-electrolytes (uncharged species); it is most appropriate for non-polar molecules with only weak intermolecular attractions (such as London forces).

Systems that have vapor pressures higher than indicated by the above formula are said to have positive deviations. Such a deviation suggests weaker intermolecular attraction than in the pure components, so that the molecules can be thought of as being "held in" the liquid phase less strongly than in the pure liquid. An example is the azeotrope of approximately 95% ethanol and water. Because the azeotrope's vapor pressure is higher than predicted by Raoult's law, it boils at a temperature below that of either pure component.

There are also systems with negative deviations that have vapor pressures that are lower than expected. Such a deviation is evidence for stronger intermolecular attraction between the constituents of the mixture than exists in the pure components. Thus, the molecules are "held in" the liquid more strongly when a second molecule is present. An example is a mixture of trichloromethane (chloroform) and 2-propanone (acetone), which boils above the boiling point of either pure component.

[edit] Solids

Vapor Pressure of Liquid and Solid Benzene

Equilibrium vapor pressure can be defined as the pressure reached when a condensed phase is in equilibrium with its own vapor. In the case of an equilibrium solid, such as a crystal, this can be defined as the pressure when the rate of sublimation of a solid matches the rate of deposition of its vapor phase. For most solids this pressure is very low, but some notable exceptions are naphthalene, dry ice (the vapor pressure of dry ice is 5.73 MPa (831 psi, 56.5 atm) at 20 degrees Celsius, meaning it will cause most sealed containers to explode), and ice. All solid materials have a vapor pressure. However, due to their often extremely low values, measurement can be rather difficult. Typical techniques include the use of thermogravimetry and gas transpiration.

The sublimation pressure can be calculated^[3] from extrapolated liquid vapor pressures (of the supercooled liquid) if the heat of fusion is known. The heat of fusion has to be added in addition to the heat of vaporization to evaporize a solid. Assuming that the heat of fusion is temperature-independent and ignoring additional transition temperatures between different solid phases the equation

$ln\,P^S_{solid} = ln\,P^S_{liquid} - \frac{\Delta H_m}{R} \left( \frac{1}{T} - \frac{1}{T_m} \right)$

with:

$P^S_{solid}$	= Sublimation pressure of the solid component at the temperature $T < T m$
$P^S_{liquid}$	= Extrapolated vapor pressure of the liquid component at the temperature $T < T m$
$Δ H m$	= Heat of fusion
$R$	= Gas constant
$T$	= Sublimation temperature
$T m$	= Melting point temperature

gives a fair estimation for temperatures not too far from the melting point. This equation also shows that the sublimation pressure is lower than the extrapolated liquid vapor pressure (ΔH _m is positive) and the difference grows with increased distance from the melting point.

[edit] Examples

[edit] Water

Graph of water vapor pressure versus temperature. Note that at the normal boiling point of 100°C, the vapor pressure equals the standard atmospheric pressure of 760 Torr or 101.325 kPa.

Main article: Vapor pressure of water

Water, like all liquids, starts to boil when its vapor pressure reaches its surrounding pressure. At higher elevations the atmospheric pressure is lower and water will boil at a lower temperature. The boiling temperature of water for pressures around atmospheric pressure can be approximated by this Antoine equation:

$\log_{10}P = 8.07131 - \frac{1730.63}{233.426 + T_b}$

or transformed into this temperature-explicit form:

$T_b = \frac{1730.63}{8.07131 - \log_{10}P} - 233.426$

where the temperature $T b$ is the boiling point temperature in degrees Celsius and the pressure $P$ is in Torr.

[edit] Other substances

The following table is a list of a variety of substances ordered by increasing vapor pressure.

Substance	Vapor Pressure (SI units)	Vapor Pressure (bar)	Vapor Pressure (mmHg)	Temperature
Tungsten	100 Pa	0.001	0.75	3203 °C
Ethylene glycol	0.5 kPa	0.005	3.75	20 °C
Propanol	2.4 kPa	0.024	18.0	20 °C
Water	2.4 kPa	0.024	18.0	20 °C
Ethanol	9 kPa	0.09	67.5	20 °C
Methyl isobutyl ketone	26.48 kPa	0.02648	19.86	25 °C
Freon 113	37.9 kPa	0.379	284	20 °C
Acetaldehyde	98.7 kPa	0.987	740	20 °C
Helium	100 kPa	1	750	-269.15 °C
Butane	220 kPa	2.2	1650	20 °C
Formaldehyde	435.7 kPa	4.357	3268	20 °C
Carbonyl sulfide	1.255 MPa	12.55	9412	25 °C
Propane	2.2 MPa	22	16500	55 °C
Oxygen	54.2 MPa	542	407936	20 °C
Nitrogen	63.2 MPa	632	475106	20 °C

Notice that the vapor pressure of Helium is 100 KPa, as the temperature at which it is measured is that of its boiling point (−268.93°C) at 100 KPa. Every substance will have a vapor pressure equal to that of the environment, at its boiling point.

[edit] Meaning in meteorology

In meteorology, the term vapor pressure is used to mean the partial pressure of water vapor in the atmosphere, even if it is not in equilibrium,^[4] and the equilibrium vapor pressure is specified as such. Meteorologists also use the term saturation vapor pressure to refer to the equilibrium vapor pressure of water or brine above a flat surface, to distinguish it from equilibrium vapor pressure which takes into account the shape and size of water droplets and particulates in the atmosphere.^[5]

[edit] See also

[edit] References

^ K. Růžička, M. Fulem, V. Růžička. "Vapor Pressure of Organic Compounds. Measurement and Correlation". http://www.capec.kt.dtu.dk/documents/overview/Vapor-pressure-Ruzicka.pdf.
^ Perry, R.H. and Green, D.W. (Editors) (1997). Perry's Chemical Engineers' Handbook (7th Edition ed.). McGraw-Hill. ISBN 0-07-049841-5.
^ Moller B., Rarey J., Ramjugernath D., "Estimation of the vapour pressure of non-electrolyte organic compounds via group contributions and group interactions ", J.Mol.Liq., 143(1), 52-63, 2008
^ Glossary (Developed by the American Meteorological Society)
^ A Brief Tutorial (An article about the definition of equilibrium vapor pressure)

[edit] External links

**Pressure Units**
	pascal (Pa)	bar (bar)	technical atmosphere (at)	atmosphere (atm)	torr (Torr)	pound-force per square inch (psi)
1 Pa	≡ 1 N/m²	10⁻⁵	1.0197×10⁻⁵	9.8692×10⁻⁶	7.5006×10⁻³	145.04×10⁻⁶
1 bar	100,000	≡ 10⁶ dyn/cm²	1.0197	0.98692	750.06	14.5037744
1 at	98,066.5	0.980665	≡ 1 kgf/cm²	0.96784	735.56	14.223
1 atm	101,325	1.01325	1.0332	≡ 1 atm	760	14.696
1 torr	133.322	1.3332×10⁻³	1.3595×10⁻³	1.3158×10⁻³	≡ 1 Torr; ≈ 1 mmHg	19.337×10⁻³
1 psi	6.894×10³	68.948×10⁻³	70.307×10⁻³	68.046×10⁻³	51.715	≡ 1 lbf/in²

Example reading: 1 Pa = 1 N/m² = 10⁻⁵ bar = 10.197×10⁻⁶ at = 9.8692×10⁻⁶ atm, etc.

[0] K. Růžička, M. Fulem, V. Růžička. "Vapor Pressure of Organic Compounds. Measurement and Correlation". http://www.capec.kt.dtu.dk/documents/overview/Vapor-pressure-Ruzicka.pdf.

[1] Perry, R.H. and Green, D.W. (Editors) (1997). Perry's Chemical Engineers' Handbook (7th Edition ed.). McGraw-Hill. ISBN 0-07-049841-5.

[2] Moller B., Rarey J., Ramjugernath D., "Estimation of the vapour pressure of non-electrolyte organic compounds via group contributions and group interactions ", J.Mol.Liq., 143(1), 52-63, 2008

[3] Glossary (Developed by the American Meteorological Society)

[4] A Brief Tutorial (An article about the definition of equilibrium vapor pressure)

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