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Gases, Liquids, and Solids
Chapter 8 Lecture Fundamentals of General, Organic, and Biological Chemistry 7th Edition McMurry, Ballantine, Hoeger, Peterson Chapter Eight Gases, Liquids, and Solids Julie Klare Gwinnett Technical College © 2013 Pearson Education, Inc.
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8.2 Intermolecular Forces
Intra- vs. inter- (within) (between)
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Liquids and Solids There are two major types of intermolecular forces (IMF) in liquids and solids: dipole–dipole forces – polar substances Permanent dipole–dipole attractions Relatively strong type of IMF Hydrogen bonding is especially strong and biologically crucial London dispersion forces – nonpolar substances Temporary or “fleeting” charge imbalances Relatively weak type of IMF © 2013 Pearson Education, Inc.
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(Permanent) Dipole-Dipole Forces
Dipole moment: property of a molecule with permanent positive & negative charge centers Dipoles occur in polar molecules The positive and negative ends of different polar molecules are permanently attracted to one another in condensed phases
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Water is polar because it has a very large dipole moment
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The resulting balance of forces
Individual dipole-dipole forces are much weaker than ‘true’ covalent bonds (intramolecular forces) Effects of many dipole–dipole forces are immense That’s why polar molecules have high boiling points
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nonpolar: No permanent IMFs polar: molecules attract permanently
bp = −0.5oC bp = +56.2oC nonpolar: No permanent IMFs polar: molecules attract permanently © 2013 Pearson Education, Inc.
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Hydrogen Bonding Very strong (permanent) dipole-dipole attraction
First, think of water 2 negative poles (d-) – the lone pairs 2 positive poles (d+) – H bonded to electronegative O Explains why water is a great polar solvent Each water molecule makes 4 hydrogen bonds…
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Hydrogen bonding for non-water molecules
Typically, an attraction between H+ and OH- -think of water as (H-OH) Formally, an attraction between a hydrogen atom which is bonded to an O, N, or F atom… wth any nearby O, N, or F atoms
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focus on ethanol alone can two ethanol molecules
hydrogen bond to each other?
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focus on ethanol alone can two ethanol molecules
hydrogen bond to each other? YES
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focus on dimethyl ether alone
can two dimethyl ether molecules hydrogen bond to each other? NO because there are no O-H bonds (and of course, no N-H or F-H bonds)
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Can ethanol hydrogen bond with dimethyl ether. Yes
Can ethanol hydrogen bond with dimethyl ether? Yes! There are two oxygens present, and one is an O-H
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Because there are N-H bonds present
nitrogen can two ammonia molecules hydrogen bond to each other YES Because there are N-H bonds present
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nitrogen can two trimethyl amine molecules
hydrogen bond to each other? NO because there are no N-H bonds
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nitrogen and oxygen together
Can trimethyl amine hydrogen bond to ethanol? YES because there is an O-H bond
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Can ammonia hydrogen bond to dimethyl ether
Can ammonia hydrogen bond to dimethyl ether? YES Because there is an N-H present
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Effects of hydrogen bonding
Hydrogen bonding affects physical properties Boiling point Copyright © Cengage Learning. All rights reserved
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Concept Check Below are two Lewis structures for the formula C2H6O How would their boiling points differ? One Lewis structure could be ethanol and one Lewis structure could be dimethyl ether. Ethanol will have a higher boiling point than dimethyl ether because ethanol exhibits hydrogen bonding and dimethyl ether exhibits dipole-dipole interactions. Hydrogen bonding is an especially strong type of dipole-dipole interaction and will thus raise the boiling point of ethanol. Copyright © Cengage Learning. All rights reserved
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Shown below is a model of liquid water
Shown below is a model of liquid water. What is the major intermolecular force of attraction responsible for water being a liquid? Covalent bonding Dipole–dipole Hydrogen bonding London dispersion © 2013 Pearson Education, Inc.
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Which of the following is not capable of hydrogen bonding?
HF H2O NH3 CH4 Methane has H atoms, but none of them are connected to an O, N, or F © 2013 Pearson Education, Inc.
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London Dispersion Force
How non-polar molecules condense
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Nonpolar molecules are only really nonpolar on average (over time)
At any instant, however, fleeting charge imbalances occur The electrons are constantly moving Occasionally, more end up at one side of molecule Higher molecular weight (more electrons) and surface area favor more London forces An instantaneous charge distribution with electrons shifted to the left (d-). They would also shift right just as often (not shown). Time-averaged charge distribution is uniform, as in the non-polar (symmetric) Lewis structure © 2013 Pearson Education, Inc.
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Concept Check Consider the following compounds: NH3 CH4 H2
How many of the compounds above exhibit London dispersion forces? a) 0 b) 1 c) 2 d) 3 The correct answer is d. All molecules, whether nonpolar or polar, exhibit London dispersion forces. Copyright © Cengage Learning. All rights reserved
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fyi: Grease Molecule lots of electrons lots of molecular surface area
so there are numerous London ‘sites’ resulting in a semi-solid at room temperature
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fyi: Hexane Molecule fewer electrons
very little molecular surface area resulting in fewer London sites resulting in a liquid at room temperature
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Like dissolves Like London forces allow nonpolar molecules to “stick” together as liquids or solids Permanent dipoles, especially hydrogen bonds, allow polar molecules to “stick” Polar molecules do also experience London forces, but they are much weaker and irrelevent Nonpolar and polar substances will not “stick” to each other Oil (nonpolar) and water (polar) don’t mix
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fyi © 2013 Pearson Education, Inc.
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8.3 Gases and the Kinetic Molecular Theory
An ideal gas obeys all the assumptions of the kinetic–molecular theory 1. The ideal gas consists of hypothetical particles moving perfectly at random with zero attractive forces between them 2. The volume of the ideal gas particle is insignificant compared with the volume of its container – a gas is mostly empty space 3. The average kinetic energy of ideal gas particles is proportional to the Kelvin temperature 4. All collisions are perfectly elastic. Gasses exert pressure. © 2013 Pearson Education, Inc.
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Postulates of the Kinetic Molecular Theory
1. The ideal gas consists of particles moving perfectly at random with no attractive forces between them IMF = intermolecular force
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Postulates of the Kinetic Molecular Theory
2. The volume of the ideal gas particle is insignificant compared with the volume of its container Solid and liquid particles are closely packed by touching each other. A gas is mostly empty space. The particles do not touch, except when colliding, upon which they bounce (elasticity). Copyright © Cengage Learning. All rights reserved
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Postulates of the Kinetic Molecular Theory
3. The average kinetic energy of ideal gas particles is proportional to the Kelvin temperature Volume will increase with temperature as gas speeds up Copyright © Cengage Learning. All rights reserved
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Postulates of the Kinetic Molecular Theory
4. All collisions of ideal gas particles are perfectly elastic in other words… the total kinetic energy of a pair of colliding particles is unchanged following impact collisions with other particles or with the container create a constant pressure force equal in all directions Higher T faster collisions higher P Copyright © Cengage Learning. All rights reserved
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Concept Check Which gas would behave more ideally at the same conditions of P and T? CO or N2 Why? N2 would behave more ideally because it is nonpolar and only exhibits London dispersion forces, therefore the intermolecular forces between N2 molecules are weak (and thus the collisions will be more “elastic”). CO also exhibits dipole-dipole interactions. Copyright © Cengage Learning. All rights reserved
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8.4 Pressure = 𝑁𝑒𝑤𝑡𝑜𝑛𝑠 𝑚 2 or Pascals (Pa)
Gasses exert pressure forces uniformly in 3D space Gasses exert this same pressure force on the 2D surface of a container or wall English unit is pounds (of force) per square inch, or psi
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Atmospheric (air) pressure
Gravity ‘pulls down’ on the gas envelope surrounding our planet, creating pressure at the surface = 14.7 pounds per square inch = 101,325 Pascals = 1 atmosphere = 760 mm Hg = 760 Torr = psi (English unit) © 2013 Pearson Education, Inc.
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Simple barometer Copyright © Cengage Learning. All rights reserved
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Simple manometer Gas pressure in a container is measured using a manometer The difference between the mercury levels indicates the difference between gas pressure and atmospheric pressure Pressure is given in the SI system by the pascal (Pa) © 2013 Pearson Education, Inc.
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Conversions 1 atm = 760. mm Hg 1 mm Hg = 1 torr
we will frequently use: 1 atm = 760. mm Hg for conversions 1 mm Hg = 1 torr
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Oxygen gas is contained in the apparatus shown below
Oxygen gas is contained in the apparatus shown below. What is the pressure of the oxygen in the apparatus? 500 mm Hg 725 mm Hg 775 mm Hg 1000 mm Hg © 2013 Pearson Education, Inc.
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The Gas Laws All gas laws can be formulated with four variables Volume
Pressure Temperature (Kelvins only!) n (number of moles of gas)
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8.5 Boyle’s Law: Boyle’s law: The volume of a gas at constant temperature decreases proportionally as its pressure increases Smaller V more collisions with wall higher P e.g. double the pressure, half the volume P1V1 = P2V2 © 2013 Pearson Education, Inc.
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The volume of a balloon is 2. 85 L at a pressure of 763 mm Hg
The volume of a balloon is 2.85 L at a pressure of 763 mm Hg. What will the volume of the balloon be when the pressure is decreased to 755 mm Hg at a constant temperature? 2.82 L 0.355 L 2.88 L 0.347 L © 2013 Pearson Education, Inc.
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8.6 Charles’s Law: The Relation between Volume and Temperature
Charles’s law: The volume of a gas at constant pressure is directly proportional to its Kelvin temperature. This is a proportional relationship, unlike the inverse relationship between P and V in Boyle’s Law. © 2013 Pearson Education, Inc.
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8.7 Gay-Lussac’s Law: Gay-Lussac’s law: The pressure of a gas at constant volume is directly proportional to its Kelvin temperature As temperature goes up or down, pressure also goes up or down Proportional relation between P and T Higher T more energetic collisions higher P It’s just a combination of Boyle’s and Charles’ Laws © 2013 Pearson Education, Inc.
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8.8 The Combined Gas Law Where the temperature remains constant, this equation ‘reduces’ to Boyle’s law Where pressure is constant, it reduces to Charles’ law Where volume is constant, it reduces to Gay-Lussac’s law
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A hot-air balloon has a volume of 960 L at 291 K
A hot-air balloon has a volume of 960 L at 291 K. The balloon is heated up and the volume increases to 1070 L. What is the final temperature (in °C) of the balloon? 50 °C 80 °C 110 °C 130 °C © 2013 Pearson Education, Inc.
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More moles of gas more volume
8.9 Avogadro’s Law Avogadro’s law: the volume of a gas is directly proportional to its molar amount at a constant pressure and temperature More moles of gas more volume Total moles of any gas, possibly combined species!!! © 2013 Pearson Education, Inc.
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1.0 mol of gas at 25 °C and 0.90 atm is contained in an apparatus with a movable piston. Which set of conditions will result in a lower piston position than shown in this drawing? 1.0 mol of gas, 25 °C, and 1.80 atm 1.0 mol of gas, 50 °C, and 0.90 atm 2.0 mol of gas, 25 °C, and 0.45 atm 2.0 mol of gas, 25 °C, and 0.90 atm © 2013 Pearson Education, Inc.
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If all other variables are held constant, which change will NOT cause a change in the pressure of oxygen in a mixture of oxygen and nitrogen? Decreasing the moles of oxygen Decreasing the temperature Increasing moles of nitrogen Increasing the volume © 2013 Pearson Education, Inc.
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At a constant volume, a flask is filled with helium at 25 °C and 1
At a constant volume, a flask is filled with helium at 25 °C and 1.03 atm pressure, sealed, and then heated to 98 °C. What is the pressure inside the flask? 0.827 atm 1.21 atm 1.28 atm 0.916 atm © 2013 Pearson Education, Inc.
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8.10 The Ideal Gas Law: PV = nRT
The ideal gas law defines a standard state STP = standard temperature and pressure 0 C ( K exactly) 1 atm (760 mmHg by definition) The “standard volume” of 1 mole of (any) gas at STP is the same. Standard volume for any gas at STP = L R is the Universal Gas Constant It’s units must match the pressure and volume units R = L•atm/mol•K = L•mm Hg/mol•K = … © 2013 Pearson Education, Inc.
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At STP, 22.414 L of an ideal gas would just fit into this precision ball
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Which of the following condition(s) are NOT considered to be standard temperature or pressure?
760 mm Hg 755 torr 0 °C Both a and b None of the above © 2013 Pearson Education, Inc.
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What is the volume of 3.86 g of nitrogen gas at STP?
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8.11 Partial Pressure and Dalton’s Law
Each particle in a gas acts independently, so its identity becomes irrelevant. Thus, gas pressures add… just like liquid volumes. © 2013 Pearson Education, Inc.
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Partial pressures add to the total pressure.
Mixtures of gases behave the same as a single pure gas and obey the same laws Dry air is a mixture of 21% O2, 78% N2, and 1% Ar by volume (and by mole percent) Partial pressure is the contribution of each gas in a mixture to the total pressure (P). Proportional to volume (and mole percent) e.g. for air at STP (P = 1 atm), partial pressures are 0.21 atm for O2 ( = 21% of 1 atm total pressure) 0.78 atm for N2 0.01 atm for Ar Partial pressures add to the total pressure. P = P1 + P2 + P3 + … Above partial pressures for O2, N2 and Ar add to 1 atm © 2013 Pearson Education, Inc.
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So for a mixture of ideal gases, it is the total number of ‘particles’ that is important
Not the identity or composition of the involved gases + 2 atm gas A 5 atm gas B 7 atm total in the mixture
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Exercise Calculate the new partial pressure of oxygen 6.13 atm
27.4 L of oxygen gas at 25.0°C and 1.30 atm, and 8.50 L of helium gas at 25.0°C and 2.00 atm were pumped into a tank with a volume of 5.81 L at 25.0°C. Calculate the new partial pressure of oxygen 6.13 atm Calculate the new partial pressure of helium 2.93 atm Calculate the new total pressure of both 9.06 atm For oxygen: P1V1=P2V2 (1.30 atm)(27.4 L) = (P2)(5.81 L) P2 = 6.13 atm For helium: (2.00 atm)(8.50 L) = (P2)(5.81 L) P2 = 2.93 atm The total pressure is therefore = 9.06 atm.
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8.12 Liquids Liquids are usually in equilibrium with their vapor (gas)
Some molecules have higher than average energy and “escape” through the liquid-vapor surface into gas form Dynamic equilibrium is reached. Evaporation and condensation occur constantly and at the same rate. Thus liquids exhibit a constant vapor pressure. It increases with T (higher average energy) Liquid in initially evacuated flask (no pressure). Liquid starts evaporating. Evaporation and condensation reach equilibrium. The gas exerts vapor pressure over the liquid. © 2013 Pearson Education, Inc.
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Definition Normal boiling point is the boiling point under a pressure of exactly 1 atmosphere A liquid’s vapor pressure (and thus b.p.) depends on temperature, atmospheric pressure, and the chemical properties of the liquid itself … eg, is it polar?
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All other things being equal, polar molecules have lower vapor pressures, and thus higher boiling points
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Viscosity Many familiar properties of liquids can be understood by studying intermolecular forces Viscosity some liquids flow easily like gasoline, and some are sluggish like honey The measure of a liquid’s resistance to flow is called viscosity Viscosity increases with increasing intermolecular forces
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Which would you expect to be more viscous?
nonpolar polar © 2013 Pearson Education, Inc.
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This explains why gravity can make a puddle grow only just so large
Surface tension is caused by the difference between the intermolecular forces experienced by molecules at the surface of the liquid and those experienced by molecules in the interior. P239 Liquid molecules exert more IMFs with each other than the surrounding gas. The liquid surface pulls inward. This explains why gravity can make a puddle grow only just so large Substances with high surface tension ‘bead up’ Substances with low surface tension spread out thin © 2013 Pearson Education, Inc.
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8.13 Water: A Unique Liquid Liquid water is denser than solid water (ice) – so ice floats on water Typically, a solid is denser than its liquid is denser than its gas The unique, extremely strong hydrogen bonding pulls the liquid water molecules close together Closer than the lattice distance between the ice molecules in an ice crystal, which has a regular spacing of the molecules Ice molecules are frozen in place, and hydrogen bonding cannot pull them closer together as for the liquid © 2013 Pearson Education, Inc.
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8.14 Solids Metallic solids can be viewed as vast three-dimensional arrays of metal cations immersed in a sea of electrons. The electron sea acts as a glue to hold the cations together and as a mobile carrier of charge to conduct electricity. Bonding attractions extend uniformly in all directions, so metals are malleable (bendable) rather than brittle. When a metal crystal receives a sharp blow, the electron sea adjusts to the new distribution of cations. © 2013 Pearson Education, Inc.
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FYI An amorphous solid is one whose constituent particles are randomly arranged and have no ordered long-range structure It’s an extremely viscous liquid that appears like a solid Amorphous solids often result when liquids cool before they can achieve internal order (glass), or when their molecules are large and tangled together (viscosity modifiers in motor oil) Glass, tar, opal, and some hard candies are amorphous solids Glass is really a liquid… in many thousand years it will form a puddle. Compare amorphous (technically liquid) glass to the solid phase crystal. Crystal is much more brittle. © 2013 Pearson Education, Inc.
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8.15 Changes of State Heats of melting and boiling are technically called latent heats of fusion and vaporization, respectively. They are measured in units of J/mol or cal/mol. Latent means hidden, meaning that no temperature change is “sensed” during fusion or vaporization.
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Vaporization requires considerably more energy than melting… must overcome IMFs to separate the liquid molecules into gas ΔHvap water = 540. cal per gram ΔHvap water = cal per mole
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What is the boiling point of the substance having the heating curve shown below?
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If intermolecular forces are strong then large amounts of heat must be added to overcome them
so latent heats are large so boiling points and freezing points are high Volatile substances have low IMFs, high vapor pressure, and low boiling points Typically nonpolar organic compounds © 2013 Pearson Education, Inc.
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What is the relationship between intermolecular forces (IMF) and the boiling point of a liquid?
As IMF increase, boiling point increases. As IMF increase, boiling point does not change. As IMF increase, boiling point decreases. None of the above © 2013 Pearson Education, Inc.
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