# 11.6: Properties of Liquids

## Introduction

Now that we have covered the basic Intermolecular Forces, we will cover some of the properties of liquids. These will include:

1. Vaporization and Condensation
2. Vapor Pressure
• Enthalpy of Vaporization
• Clausius-Claperyon Euation
3. Boiling Point
4. Critical Temperature and Pressure
5. Surface Temperature and Pressure

## Vaporization and Condensation

A molecule in a liquid which is moving towards the surface of the liquid may have enough kinetic energy to overcome the cohesive forces that hold the molecules in the liquid together and escape into the vapor (gas) phase. Likewise a molecule in the gas (vapor) phase that collides with molecules on the surface of the liquid can transfer energy to the liquid molecules and enter the liquid phase. This results in two phase transitions.

1. Vaporization - the physical change of state where a chemical entity transforms from a liquid to a vapor.
2. Condensation - the physical change of state where a chemical entity transforms from a gas (vapor) to a liquid.

This concept can also be extended to solids which undergo sublimation and deposition, and we can define two types of substances:

1. Volatile Substance - a substance that can vaporize or sublime.
2. Nonvolatile Substance - a substance that does not vaporize or sublime.

A volatile substance has a measurable vapor pressure, which is the partial pressure due to the molecules that have entered the gas phase. A nonvolatile substance does not have a measurable vapor pressure. It should also be noted that the terms "vapor" and "gas" are often used synonymously, although there is an implicit difference. A vapor phase molecule is a gas phase molecule, but it is implied that there can be particles in a solid or liquid phase too. That is, the system is, or was, heterogeneous. So if a sample of water entirely vaporizes (so there is no liquid left), it is a pure gas, but it is often referred to as a vapor, even though it is a pure gas.

In this chapter we will look at liquids and in the next chapter we will look at solids.

## Vapor Pressure

The vapor pressure of liquid substance is the partial pressure due to the particles of that substance which have enough kinetic energy to overcome the cohesive forces near the surface of the liquid and enter the gas phase and form a vapor. The moment a chemical entity enters the gas phase it can hit the surface and condense back into the liquid phase (Figure $$\PageIndex{1}$$). If we ignore intermolecular interactions for the molecules that enter the vapor phase we can use the ideal gas law (PV=nRT) to correlate the vapor pressure to the number of particles in that phase, where the vapor pressure becomes the partial pressure due to the gas.

$P_{A}=\frac{n_{A}RT}{V}$

### Vapor Pressure as an Equilibrium Pressure

Although Equation 11.6.1 describes the pressure do to a liquid (A) whose molecules have entered the vapor phase, this is not always what chemists refer to as the vapor pressure. Chemists consider the Vapor Pressure to be the Equilibrium Pressure when the Rate at which Chemical Entities Vaporize Equals the Rate at which they Condense. If these rates are not equal the total number of molecules in the vapor phase changes, and so the vapor pressure changes. When they equal you have a dynamic equilibrium, where individual particles are continually vaporizing and condensing, but the number of of particles in the gas phase is constant and this results in a constant valued equilibrium pressure, which is what is referred to as the Vapor Pressure of that substance (above its liquid surface). These values do depend on the temperature (see below) and are often tabulated in thermodynamic tables as a function of the temperature.

Figure $$\PageIndex{2}$$ illustrate this concept. Imagine you had a volatile liquid (a liquid which can vaporize) that completely filled a container so there was no space above the liquid, (so there could be no vapor). If you then instantly removed some of the liquid (say with a syringe), there would be a void above the liquid, but no molecules. They would start to evaporate, and the rate at which they evaporate would be related to the surface (the greater the surface area the faster the rate) and the temperature (which describes the average kinetic energy of the system. If the temperature and surface area are constant, the the rate of evaporation is constant (green line, Figure $$\PageIndex{2}$$). Initially there were no liquid particles in the gas phase, and so both the partial pressure (Figure $$\PageIndex{3}$$) and the initial rate of condensation (Figure $$\PageIndex{2}$$) are zero. As soon as some molecules enter the gas phase the partial pressure starts to rise (eq. 11.6.1 & Figure $$\PageIndex{3}$$), and some of these molecules can now collide with the surface and condense. As the number of particles in the gas phase increases the rate at which they collide with the surface increases and so the rate of condensation increases (Figure $$\PageIndex{2}$$). The number of particles in the gas phase keeps rising until the rate at which they evaporate (a constant value) equals the rate at which the condense, and a dynamic equilibrium pressure is achieved (the flat region of the curves in figures 11.6.2 & 3).

You need to be alert that the constant valued equilibrium pressure is what chemists refer to as the vapor pressure, although if a system was not at equilibrium (left of the dotted line indicating the rates of condensation and vaporization are equal), we would still call that a vapor pressure. Figure $$\PageIndex{4}$$ shows an apparatus for measuring the vapor pressure of a liquid. This is often a challenge for students, as the meaning of a word is often dependent on the context, (like is oxygen a monatomic atom "O" or a diatomic molecule "O2"?) Unless we are specifically describing a system that is not in equilibrium, the vapor pressure is the equilibrium pressure when the rates of evaporation equal condensation, and that has a specific value (which is a function of the temperature).

Figure $$\PageIndex{2}$$: The rates of evaporation and condensation for a volatile liquid substance that at time zero, can enter a gas phase at constant temperature. The rate of evaporation is related to the surface area and thus constant, while the rate of condensation depends depends on the number of particles in the gas phase, and increases over time, until it reaches the rate of evaporation, at which time a dynamic equilibrium is achieved.

Figure $$\PageIndex{3}$$: This figure correlates with figure 11.6.c, but shows how the partial pressure of the volatile liquid (A) increases with time. What chemists refer to as the vapor pressure of a substance is the equilibrium vapor pressure.

Figure $$\PageIndex{4}$$: A closed end manometer (the right side is not exposed to the atmosphere) is at equilibrium (the liquid in the tube, lets say mercury, is at the same height) and there is initially no liquid. At time (a), a volatile liquid is injected into the bulb on the left which starts to evaporate displacing the mercury, and the mercury rises to a max value (when the rate of evaporation equals condensation), and that equilibrium pressure is the vapor pressure of the volatile compound (in units of mm Hg, or Torr, if the liquid is Hg).

It needs to be emphasized that the vapor pressure is an equilibrium phenomena, and thus requires the gas to be in a closed container. If a container of water is closed, some will evaporate until it reaches its equilibrium vapor pressure. If the container is open to the atmosphere, all the water will eventually evaporate and you will have a gas, not a gas in equilibrium with its liquid.

### Temperature Dependence of Vapor Pressure

We need to realize that concepts like liquid, gas, vaporization and condensation are not properties of individual chemical entities like a molecule or atom, but of a huge number of them, and need to be viewed as properties of an ensemble of particles, and not of individual atoms or molecules. A group of molecules has its energies distributed over a range of values resulting in velocity profiles like those in figure 11.6.5. The area under the curves are equal and represent the total number of molecules in a sample. As the temperature increases the curve flattens out and stretches to the right as more molecules move faster. If Vescape is the minimum velocity required to escape the surface of the liquid, only those molecules with a velocity equal or greater to this can escape (shaded part of the curve). It is clear from figure 11.6.5 that the fraction of molecules that can enter the gas phase (ratio of the shaded area to the total area under the curve) increases as the temperature rises, and so the number of molecules in the vapor phase increases as the temperature increases. This results in an increase in the vapor pressure as a function of temperature, which is plotted in figure 11.6.6 for a variety of substances.

Figure $$\PageIndex{5}$$: Velocity profile showing how the individual molecules in a substance have varying kinetic energies. If Vescape represents the the minimum velocity that a molecule near the surface needs to escape the liquid phase, then only those molecules with a velocity greater than it can enter the gas phase. As the temperature increases, the number of molecules with a velocity greater than Vescape increases, and more of the molecules enter the vapor phase.

It should be noted that just because a particle is moving fast enough to escape the surface does not mean it will, as it must also be moving in the correct direction.

In the next figure (11.6.6) we are looking at the vapor pressure as a function of temperature. This is an important diagram to understand as it relates molecular structure to the vapor pressure of a substance. That is, for molecules of similar mass, the stronger the intermolecular forces the lower the vapor pressure. We can sort of visualize an interplay between two different and opposing energies; increasing kinetic energy which favors the vapor phase, while increasing intermolecular forces favors the liquid phase. In the next section we will look into this in more detail, and you should reference back to this diagram.

Figure $$\PageIndex{6}$$: Plot of vapor pressure as a function of temperature for a variety of substances. It should be noted that this is a "bounded function", with the lower end being the melting point, and the upper end being the boiling point of a substance. That is, the concept of vapor pressure requires the existence of a liquid phase. So for water at 1 atm pressure, the lower end is 0oC (as below that you have ice) and the upper end is 100oC, as above that you have a pure gas.

### Vapor Pressure: Intermolecular Forces, Particle Masses and the Enthalpy of Vaporization

From the Kinetic Molecular Theory of Gases and our studies of Grahm's Law of Effusion we know that the kinetic energy is proportional to the absolute temperature, and as we raise the temperature we raise the kinetic energy, 1/2mv2 (where m=mass and v=velocity), and thus a light molecule would move faster than a heavy one. Of course for a gas or a liquid you have an ensemble of particles and there is a velocity distribution function as in figure 11.6.7, with lighter particles tending to move faster than heavier ones (if they have similar intermolecular forces).

Figure $$\PageIndex{7}$$: Constant temperature velocity profile of two similar non polar molecules, chlorine and fluorine. Note that the lighter molecules tend to move faster than the heavier ones, and if there was a temperature where they both exist as a liquid, the vapor pressure of the fluorine would be higher than the chlorine.

In Summary:

• Lighter molecules tend to move faster than heavier ones at a given temperature, and so increasing mass leads to a lowering of the vapor pressure.
• Stronger intermolecular forces suppresses the vapor pressure

These effects are evident in 11.6.6, where we can observe several trends at a given pressure and you should be able to explain these

• Pdiethyl ether>Pethanol>Pwater>Pethylene glycol at a given temperature. Diethyl ether is nonpolar and so even though it is the heaviest, has the weakest intermolecular forces and is easiest to vaporize. The other three compounds are not only polar, but have hydrogen bonds. Ethanol has one OH group while both water and ethylene glycol both have two, so even though it is heavier than water, is has a lower vapor pressure. Water and ethylene glycol both have two OH groups, but water is lighter, and so has a higher vapor pressure.
• Pwater>Pn-octane as even though the water has hydrogen bonds, the n-octane a 114 amu, weighting 6.3 times as much as the water, and being a large highly polarizable molecule with a lot of surface areas has strong London dispersion forces.
• Mercury has a very low vapor pressure and it needs to be realized that being a metal has metallic bonds, which we will cover in the next chapter. Although mercury is a liquid at standard conditions with a small vapor pressure, its vapor represents a serious health problem as it bioaccumulates.

The enthalpy of vaporization is the enthalpy required transform one mole of a substance from a liquid to a vapor, and is influenced by both the particles mass and its intermolecular forces. The higher the enthalpy of vaporization the more energy required to vaporize a substance and the lower the vapor pressure. Higher mass and stronger intermolecular forces result in a higher enthalpy of vaporization, and a lower vapor pressure.

### Clausius-Clapeyron Equation: Mathematical derivation of the vapor pressure

In essence the vapor pressure above a liquid represents the partitioning of the particles between two phases, the liquid and the gas, that is, there is a fraction of the particles in each phase. There is an interplay between the enthalpy of vaporization (the higher it is, the more they want to be in the liquid phase) and the kinetic energy (the higher it is, the more they want to be in the vapor phase. The equation that describes this is the Clausius-Clapeyron, which is an exponential function. Like any exponential function, there are two forms, the exponential form, and the natural log form

$\underbrace{P_{A}=ke^{-\frac{\Delta H_{vap,A}}{RT}}}_{\text{exponential form}} \label{11.6.2}$

$\underbrace{\ln P_{A}=-\frac{\Delta H_{vap,A}}{RT}+C}_{\text{logarithmic form}} \label{11.6.3}$

where:

• PA=Vapor Pressure above volatile liquid "A"
• $$\Delta H_{vap,A}$$ = Enthalpy of Vaporization for "A", always positive because it is endothermic
• R = 8.314J/mol-K (Ideal gas constant)
• T = Absolute Temperature in Kelvin (always positive
• k=a positive constant in units of Pressure, we will treat it as an "unknown constant", but it is related to the highest possible pressure, and will not be used in our calculations.
• C=lnk another constant we will not use

Lets take a closer look at the term

$e^{-\frac{\Delta H_{vap,A}}{RT}}=\frac{1}{e^{\frac{\Delta H_{vap,A}}{RT}}}\label{11.6.4 }$

• The term in eq. 11.6.4 itself is a fraction because the enthalpy of vaporization is endothermic (positive), and R and T are positive, so it is of the form $$\large\frac{1}{e^{positive\: number}}=\frac{1}{number>1}$$=a fraction
• $$\Delta H_{vap,A}$$
• As $$\Delta H_{vap,A}$$ gets small and approaches zero, the fraction approaches 1 as e0=1
• As $$\Delta H_{vap,A}$$ gets large and elarge number gets very large, and the reciprocal of a large number approaches zero.
• RT This is the molar kinetic energy term associated with three dimensional translational motion (Through the ideal gas law it is related to PV work, from section 5.1). Remember one of the postulates of the Kinetic Molecular Theory was that the Kinetic Energy of a gas is proportional to the absolute temperature, R is the molar proportionality constant (PV/n=RT).
• As T gets small, the fraction approaches zero
• 1/T gets large, so $$e^{\frac1{RT}}$$ gets large and $$\frac{1}{e^{\frac1{RT}}}$$ approaches zero
• As T gets large, the fraction approaches one
• 1/T gets small and approaches zero, so $$e^{\frac1{RT}}$$ approaches e0, which is 1, and $$\frac{1}{e^{\frac1{RT}}}$$ approaches one

In Summary:

Small $$\Delta H_{vap,A}$$ and high T favor large Vapor Pressures because the fraction $$e^{-\frac{\Delta H_{vap,A}}{RT}}$$ approaches 1.
Large $$\Delta H_{vap,A}$$ and low T favor low Vapor Pressures because the fraction $$e^{-\frac{\Delta H_{vap,A}}{RT}}$$ approaches 0.

Remember, at constant pressure, the smallest T is defined by the freezing point, and the highest T is defined by the boiling point, and only in this range do you a system where a vapor can be in equilibrium with it liquid. Below this temperature the liquid freezes, and above it have a gas (once they system has reached equilibrium).

From eq. 11.6.3, the slope of the linear plot of the lnPv as a function of of the reciprocal temperature (1/T) is equal to -$$\Delta H_{vap,A}$$/R and can be used to measure the enthalpy of vaporization.

Figure $$\PageIndex{8}$$: A plot of the natural log of the vapor pressure versus reciprocal temperature can be used to measure the enthalpy of vaporization. $$\Delta H_{vap,A}$$=-R(Slope).

Two State Form of the Clausius-Claperyron Equation:

Exponential form: Knowing Pvap at one T and$$\Delta H_{vap,A}$$ you can calculate it at another temperature. You start by dividing eq 11.6.2 at one state (state 1: Pvap,1,T1) by the same equation at another state (state 2 :Pvap,2,T2​.)

$\frac{P_{v,1}}{P_{v,2}}=\frac{ke^{-\frac{\Delta H_{v}}{RT_1}}}{ke^{-\frac{\Delta H_{v}}{RT_2}}}=\frac{e^{-\frac{\Delta H_{v}}{RT_1}}}{e^{-\frac{\Delta H_{v}}{RT_2}}}={e^{-\frac{\Delta H_{v}}{R}(\frac{1}{T_1}-\frac{1}{T_2})}}\label{11.6.5 }$

If you know the vapor pressure at one Temperature, (T2), you can rearrange the above equation to determine it at another temperature (T1)

$P_{v,1}=P_{v,2}\: {e^{\frac{\Delta H_{v}}{R}(\frac{T_1-T_2}{T_2T_1})}}\label{11.6.6}$

Logarithmic Form: You can take the natural log of eq. 11.6.5 and solve for the enthalpy of vaporization

$ln(\frac{P_1}{P_2})=-\frac{\Delta H_V}{R}\left ( \frac{1}{T_1}-\frac{1}{T_2} \right )\label{11.6.7}$

This can be rearranged to

$\Delta H_V=\frac{R}{\frac{1}{T_2}-\frac{1}{T_1}}ln(\frac{P_1}{P_2})\label{11.6.8}$

or

$\Delta H_V=\frac{RT_1T_2}{T_1-T_2}ln\frac{P_1}{P_2}\label{11.6.9}$

There are advantages to the forms represented in equations 11.6.6 and 11.6.9 in that they are easier to "read". You know that as T goes up, the vapor pressure goes up, and you know that the enthalpy of vaporization must be positive.

Lets look at 11.6.6:

• If T1<T2, then the exponent on the right side is negative, and a fraction, meaning P2>P1, which makes sense.
• If T1>T2, then the exponent on the right side is positive, the number is greater than 1, meaning P2<P1, which makes sense.

Lets look at 11.6.9

• If T1<T2, then P1<P2 ,
• The 1/(T1-T2) term is negative
• P1/P2 ,is a fraction and ln of a fraction is a negative number

This means the enthalpy of vaporization is a positive number as dividing a negative number into a positive number gives a negative number, and it makes sense.

• If T1>T2, then P1>P2 ,
• The 1/(T1-T2) term is positive
• P1/P2 ,is greater than 1 and the ln is a positive number

Once again, the enthalpy of vaporization is positive.

The Clausius-Claperyon equation is the first equation we cover this semester that is of this form. As the semester progresses we will have other similar equations, like the Arrhenius equation (exam 2) and Gibbs Free Energy Equation (exam 4). These may be a bit intimidating now, but by the end of the semester you will be able to manipulate these equations.

### Exercise $$\PageIndex{1}$$

Calculate the vapor pressure of water at 45o C if it is 12.79 torr at 15o C, given:

Substance $$\Delta H_{f}^{o}$$
H2O(l) -285.8
H2O(g) -241.8

72.27 Torr, which is not far off from the published value of 71.93 Torr. Note, we first solved the equation and then assigned the states. There are many correct forms this equation can take. At the end of the problem you should always ask, does my answer make sense? In this case we raised the temperature, which caused the vapor pressure to go up, and that makes sense. If in a problem you raise the temperature, and the pressure goes down, you need to take a closer look at your work to see if you can find your mistake. Usually it is either a math mistake, or not properly assigning your data to the algebraic variables. That is why I create a table with a column for each state, as it reduces the chance of switching the values.

## Boiling Point

The definition of the boiling point is when the vapor pressure equals ambient (surrounding) pressure. At this pressure molecules within the bulk of the liquid turn to a vapor and bubble up through the liquid. This is the difference between boiling and evaporation.

What is the difference between boiling and evaporation?

• Evaporation - surface phenomena where liquid molecules a the surface vaporize and escape the cohesive (attractive) forces and enter the gas phase
• Boiling - a bulk fluid phenomena where the liquid state becomes unstable and spontaneously forms a vapor, even if it is not near the surface. This occurs when the vapor pressure equals ambient pressure. When you see water boil, those bubbles are not air bubbles, but water vapor.

What are the two ways to boil a substance

1. At constant pressure (isobar), raise the Temperature until the vapor pressure equals the ambient pressure
2. At constant temperature (isotherm) lower the ambient pressure until it equals the vapor pressure.

Figure $$\PageIndex{9}$$: Vapor pressure curve for water, showing how the temperature at which water boils depends on the pressure.

This explains how a pressure cooker or autoclave works to cook food or sterilize equipment because you can raise the temperature above 100oC. It also explain why you have to boil an egg longer in the mountains, because the ambient pressure is lower. Table 11.6.1 shows how the boiling pt. a different locations on the earth changes as the elevation changes (remember, the pressure is due to the "column of air" on top of you, and the higher up you are, the less air their is above you.

What is meant by NORMAL BOILING POINT?
The normal boiling point is the temperature a substance boils at 1 atmosphere pressure

Table 11.6.1 Boiling points at different locations on the earth.
Place Altitude above Sea Level (ft) Atmospheric Pressure (mmHg) Boiling Point of Water (°C)
Mt. Everest, Nepal/Tibet 29,028 240 70
Bogota, Colombia 11,490 495 88
Washington, DC 25 759 100
Dead Sea, Israel/Jordan −1312 799 101.4

### Exercise $$\PageIndex{1}$$

Given the following melting and boiling points, give two reasons why Iodine is a solid and fluorine is a gas at STP?

Halogen mp(K) bp(K)
F2 53.5 85.0
Cl2 172.2 238.6
Br2 265.9 331.9
I2 386.7 457.5

All of the above molecules are nonpolar and have London Dispersion forces interacting between them (Instantaneous dipole-induced dipole).

• Reason 1: The fluorine molecules are lighter and thus tend to move faster at a given temperature than the heavier iodine molecules (look at velocity profiles).
• Reason 2: Iodine is more polarizable and thus has stronger intermolecular forces. It is more polarizable because it has (a) more electrons and (b) a larger volume, that results in its electrons being less tightly held (and thus more polarizable).

### Exercise $$\PageIndex{2}$$

Predict the trend in boiling points for the following linear hydrocarbons: CH4, C2H6, C3H8, C4H10 and C5H12:

CH4 < C2H6 < C3H8 < C4H10 < C5H12. because that is the direction of (a) increasing mass and (b) increasing polarizability and thus increasing Lodon Dispersion forces.

### Exercise $$\PageIndex{3}$$

Rank the following in order of increasing boiling point.

​​​1. HF, HCl, HBr and HI

HCl < HBr < HI < HF. HI is greater than HBr because of its mass, which in turn is greater than HCl, but the lighter HF breaks this trend because it has strong hydrogen bonds, and thus even though it is the lightest, if has the strongest intermolecular forces and thus has the highest boiling point. Note here the trends of mass and of polarity go in opposite directions, in that HCl is more polar the HBr, which is turn is more polar than HI.

## Critical Temperature & Pressure

There are two fluid phases, the gas and the liquid.

• Gas Phase,
• favored at low pressure (particles are far apart)
• Favored at high temperature (particles have high kinetic energy make attractive forces negligible)
• Liquid Phase
• Favored at high pressure (molecules are close to each other)
• Favored at low temperature (attractive forces are able to compete with motion and keep molecules together

The following video was created at ETH Zurich as part of a Carbon Capture and Storage Exhibit. In this video they have two substances of different densities that "float" on liquid carbon dioxide at 28oC and 69 bar, but one is more dense than supercritical carbon dioxide. They then raise it to the critical point 31.1oC and 73.9 bar and the phases merge, with the one float sinking, and the other moving around. They then return to the initial condition, and the boundary reforms with both floats returning to the surface.

YouTube developed by ETH Zurich describing supercritical fluids https://youtu.be/P9EftqFYaHg

We will return to supercritical fluids and the critical point in the next chapter when we cover phase diagrams.

## Surface Tension, Capillary Action and Viscosity

### Introduction

Cohesive forces are the forces of attraction between particles within a substance (or phase), and adhesive are between two different substances (or phases). These can explain properties like surface tension and viscosity, and phenomena like capillary action and why meniscus sometimes are concave and other times are convex.

• Cohesive Forces - the intermolecular forces of attraction holding the particles of a liquid together.
• Adhesive Forces - the intermolecular forces between a liquid's molecules and another substance, like a glass surface.

You should be able to predict trends based on intermolecular forces for these.

### Surface Tension

On the surface of a liquid, there are negligible adhesive forces attracting the liquid to the gas phase, but substantial cohesive forces attracting the liquid to itself. The result is that particles near the surface of the liquid feel a net force pulling them into the liquid, with a resulting decrease in the surface area, which is why liquids form drops. The surface tension is related to the force required to increase the surface area, and can explain why objects like a paper clip can float if they are on the surface, but sink if they are placed below the surface. The stronger the intermolecular forces, the greater the surface tension.

Figure $$\PageIndex{10}$$:. Diagram on the left showing vectorial difference of forces acting on a particle in a liquid that are in the bulk and surface. The picture on the right shows a paperclip floating in water, even though it is denser than the water. (both images are from wikipedia).

1:24 youtubeYoutube on Surface Tension by Berkeley Lab's Molecular Foundry, https://youtu.be/ciqNNRlS2yA .

### Capillary Action

Through capillary action polar liquids like water can rise up narrow diameter tubes against the force of gravity.

Figure $$\PageIndex{11}$$: capillary actions showing how the thinner the tube, the higher the water rises.

In reality, not all substances rise up, some even fall down. This is the result of the interaction of a liquid with a solid, and there are two types of forces at play, cohesive and adhesive.

Glass is based on silicon dioxide (like sand) and the surface has a lot of hydroxy groups (OH) that can participate in hydrogen bonds. This results in strong adhesive forces with polar solvents like water, and if the adhesive forces are greater than the cohesive forces, the water will crawl up the small capillary tube as illustrated in figure 11.6.m.

Figure $$\PageIndex{12}$$: Two glass capillary tubes placed in a polar and nonpolar liquids. In the case of the glass in water, the adhesive forces are greater than the cohesive and the water is attracted up the tube. In the case of mercury, which is not attracted to the glass, the cohesive forces are greater than the adhesive, and there is an actual depression as the mercury is repulsed from the tube.

Meniscus: The meniscus curves up when the adhesive forces > cohesive and down when the cohesive forces > adhesive. In the case of water and glass, a slight film of water creeps up the surface of large diameter devices like burettes and graduated cylinders, and you read from the bottom of the meniscus. In the case of instruments like mercury thermometers and barometers, you read from the top of the meniscus.

• Adhesive > Cohesive - meniscus goes up
• Cohesive > Adhesive - meniscus goes down

Figure $$\PageIndex{13}$$: Diagram showing different types of meniscus.

### Viscosity - Resistance to Flow

The viscosity of a fluid is a measurement of its resistance to flow. A high viscous fluid is like molasses and has a large resistance to flow, while a low viscous fluid would be like water and have a low resistance to flow. The following 2 You Tubes demonstrate high and low viscous fluids.

0.33 min Youtube showing a high and low viscous fluids being poured, https://youtu.be/vNzTYzjLgKE .

0.33 min YouTube animation showing lead ball being dropped into two cylinders, one with a high viscous fluid and one with a low viscous fluid.

The units of viscosity are the poise (P) or centipoise (cP

1P = 0.1N s m-2 = 0.1 Pascal-second
1cP = 0.001N s m-2

Table $$\PageIndex{2}$$: Viscosity and surface tension for a variety of substances. Not how non-polar molecules like diethyl ether have a low viscosity while molecules with heavy hydrogen bonding like glycerol have a large viscosity.
Common
liquid
Viscosity
/cP
Surface tension
/N m-1
Diethyl ether 0.233 0.0728
Chloroform 0.58 0.0271
Benzene 0.652 0.0289
Carbon tetrachloride 0.969 0.0270
Water 1.002 0.0728
Ethanol 1.200 0.0228
Mercury 1.554 0.436
Olive oil 84 -
Castor oil 986 -
Glycerol 1490 0.0634
Glasses very large -

Viscosity is a strong function of temperature as indicated in table 11.6.3

Table 11.6.3: Viscosity of water as a function of temperature.
Temperature
/°C
Viscosity
/cP
20 1.002
40 0.653
60 0.467
80 0.355
100 0.282

Automobile oil lubricates you car's engine and are rated by their viscosity with an SAE (Society of Automotive Engineers) number with SAE 5 being low viscosity oil (appropriate for winter conditions) and SAE 40 or 50 being more viscous and appropriate for summer conditions.

## Contributors

• Robert E. Belford (University of Arkansas Little Rock; Department of Chemistry). The breadth, depth and veracity of this work is the responsibility of Robert E. Belford, rebelford@ualr.edu. You should contact him if you have any concerns. This material has both original contributions, and content built upon prior contributions of the LibreTexts Community and other resources, including but not limited to: