Chapter 13 – Review

13.1 – Intermolecular Forces

  1. In terms of their bulk properties, how do liquids and solids differ? How are they similar? Check Answer: [1]
  2. In terms of the kinetic molecular theory, in what ways are liquids similar to solids? In what ways are liquids different from solids?
  3. In terms of the kinetic molecular theory, in what ways are liquids similar to gases? In what ways are liquids different from gases? Check Answer: [2]
  4. Explain why liquids assume the shape of any container into which they are poured, whereas solids are rigid and retain their shape.
  5. What is the evidence that all neutral atoms and molecules exert attractive forces on each other? Check Answer: [3]
  6. Open the PhET States of Matter Simulation to answer the following questions:
    1. Select the Solid, Liquid, Gas tab. Explore by selecting different substances, heating and cooling the systems, and changing the state. What similarities do you notice between the four substances for each phase (solid, liquid, gas)? What differences do you notice?
    2. For each substance, select each of the states and record the given temperatures. How do the given temperatures for each state correlate with the strengths of their intermolecular attractions? Explain.
    3. Select the Interaction Potential tab, and use the default neon atoms. Move the Ne atom on the right and observe how the potential energy changes. Select the Total Force button, and move the Ne atom as before. When is the total force on each atom attractive and large enough to matter? Then select the Component Forces button, and move the Ne atom. When do the attractive (van der Waals) and repulsive (electron overlap) forces balance? How does this relate to the potential energy versus the distance between atoms graph? Explain.
  7. Define the following and give an example of each:  Check Answer: [4]
    1. dispersion force
    2. dipole-dipole attraction
    3. hydrogen bond
  8. The types of intermolecular forces in a substance are identical whether it is a solid, a liquid, or a gas. Why then does a substance change phase from a gas to a liquid or to a solid?
  9. Why do the boiling points of the noble gases increase in the order He < Ne < Ar < Kr < Xe? Check Answer: [5]
  10. Neon and HF have approximately the same molecular masses.
    1. Explain why the boiling points of Neon and HF differ.
    2. Compare the change in the boiling points of Ne, Ar, Kr, and Xe with the change of the boiling points of HF, HCl, HBr, and HI, and explain the difference between the changes with increasing atomic or molecular mass.
  11. Arrange each of the following sets of compounds in order of increasing boiling point temperature: Check Answer: [6]
    1. HCl, H2O, SiH4
    2. F2, Cl2, Br2
    3. CH4, C2H6, C3H8
    4. O2, NO, N2
  12. The molecular mass of butanol, C4H9OH, is 74.14; that of ethylene glycol, CH2(OH)CH2OH, is 62.08, yet their boiling points are 117.2 °C and 174 °C, respectively. Explain the reason for the difference.
  13. On the basis of intermolecular attractions, explain the differences in the boiling points of n–butane (−1 °C) and chloroethane (12 °C), which have similar molar masses. Check Answer: [7]
  14. On the basis of dipole moments and/or hydrogen bonding, explain in a qualitative way the differences in the boiling points of acetone (56.2 °C) and 1-propanol (97.4 °C), which have similar molar masses.
  15. The melting point of H2O(s) is 0 °C. Would you expect the melting point of H2S(s) to be −85 °C, 0 °C, or 185 °C? Explain your answer.  Check Answer: [8]
  16. Silane (SiH4), phosphine (PH3), and hydrogen sulfide (H2S) melt at −185 °C, −133 °C, and −85 °C, respectively. What does this suggest about the polar character and intermolecular attractions of the three compounds?
  17. Explain why a hydrogen bond between two water molecules is weaker than a hydrogen bond between two hydrogen fluoride molecules. Check Answer: [9]
  18. Under certain conditions, molecules of acetic acid, CH3COOH (shown below), form “dimers,” pairs of acetic acid molecules held together by strong intermolecular attractions:
    A Lewis structure shows a carbon atom single bonded to three hydrogen atoms and one other carbon atom, that is in turn double bonded to an oxygen atom and single bonded to another oxygen atom that is single bonded to a hydrogen atom. Dotted lines connect the terminal oxygen and hydrogen atoms to a reciprocal lewis structure to the right, rotated 180 degrees. Each dotted line is labeled “hydrogen bond.”

    Draw a dimer of acetic acid, showing how two CH3COOH molecules are held together, and stating the type of IMF that is responsible.

  19. Proteins are chains of amino acids that can form in a variety of arrangements, one of which is a helix. What kind of IMF is responsible for holding the protein strand in this shape? On the protein image below, show the locations of the IMFs that hold the protein together: Check Answer: [10]
    Two turns of a helical structure are shown horizontally. Three Lewis structures are superimposed on the helix. The first shows horizontally stacked dashes next to an oxygen atom, with three dots connecting to a hydrogen atom, and a single dash connecting the hydrogen atom to a nitrogen atom. The second shows a carbon atom double bonded to an oxygen atom, then three dots connecting to a hydrogen atom which is bonded to a nitrogen atom. The third shows a carbon atom double bonded to an oxygen atom with three dots extending to the right of the oxygen atom.
  20. The density of liquid NH3 is 0.64 g/mL; the density of gaseous NH3 at STP is 0.0007 g/mL. Explain the difference between the densities of these two phases.
  21. Identify the intermolecular forces present in the following solids: Check Answer: [11]
    1. CH3CH2OH
    2. CH3CH2CH3
    3. CH3CH2Cl

13.2 – Properties of Liquids

  1. The test tubes shown below contain equal amounts of the specified motor oils. Identical metal spheres were dropped at the same time into each of the tubes, and a brief moment later, the spheres had fallen to the heights indicated in the illustration. Rank the motor oils in order of increasing viscosity, and explain your reasoning:
    An image of four graduated cylinders sitting on a table labeled “Oil viscosity ( S A E )” is shown. The left-hand cylinder, labeled “20,” is mostly filled with light tan liquid and a metal ball is drawn in the lower fifth of the cylinder, but not on the bottom. The second cylinder, labeled “30,” is mostly filled with light brown liquid and a metal ball is drawn about three-fourths of the way down cylinder. The third cylinder, labeled “40,” is mostly filled with medium brown liquid and a metal ball is drawn halfway down the cylinder. The right-hand cylinder, labeled “50,” is mostly filled with brown liquid and a metal ball is drawn near the top of the liquid in the cylinder.
  2. Although steel is denser than water, a steel needle or paper clip placed carefully lengthwise on the surface of still water can be made to float. See figure below. Explain at a molecular level how this is possible: Check Answer: [12]
    A photo shows a close-up, above-view, of a needle lying on the surface of a sample of water.
    (credit: Cory Zanker)
  3. The surface tension and viscosity values for diethyl ether, acetone, ethanol, and ethylene glycol are shown in the figure below.This table has four columns and five rows. The first row is a header row, and it labels each column: “Compound,” “Molecule,” “Surface Tension ( m N / m ),” and “Viscosity ( m P a dot s ).” Under the “compound” column are the following: diethyl ether C subscript 2 H subscript 5 O C subscript 2 H subscript 5; acetone C subscript 2 H subscript 5 O C subscript 2 H subscript 5; ethanol C subscript 2 H subscript 5 O H; ethylene glycol C H subscript 2 ( O H ) C H subscript 2 ( O H ). Under the “Molecule” column are ball-and-stick representations of each compound. The first shows two grey spheres bonded together. The first grey sphere is also bonded to three white spheres. The second grey sphere is bonded to two white spheres and a red sphere. The red sphere is bonded to another grey sphere. The grey sphere is bonded to two white spheres and another grey sphere. The last grey sphere is bonded to three white spheres. The second shows three grey spheres bonded tighter. The two grey spheres on the end are each bonded to three white spheres. The grey sphere in the middle is bonded to one red sphere. The third shows two grey spheres bonded together. The first grey sphere is bonded to three white spheres and the second grey sphere is bonded to two white spheres and a red sphere. The red sphere is bonded to a white sphere. The fourth shows two grey spheres bonded together. Each grey sphere is bonded to two white spheres and a red sphere. Each red sphere is also bonded to one white sphere. Under the “Surface Tension ( m N / m )” column are the following: 17, 23, 22 and 48. Under the “Viscosity ( m P a dot s )” column are the following: 0.22, 0.31, 1.07, and 16.1.
    1. Explain their differences in viscosity in terms of the size and shape of their molecules and their IMFs.
    2. Explain their differences in surface tension in terms of the size and shape of their molecules and their IMFs:
  4. You may have heard someone use the figure of speech “slower than molasses in winter” to describe a process that occurs slowly. Explain why this is an apt idiom, using concepts of molecular size and shape, molecular interactions, and the effect of changing temperature. Check Answer: [13]
  5. It is often recommended that you let your car engine run idle to warm up before driving, especially on cold winter days. While the benefit of prolonged idling is dubious, it is certainly true that a warm engine is more fuel efficient than a cold one. Explain the reason for this.
  6. The surface tension and viscosity of water at several different temperatures are given in the data table below. Check Answer: [14]
    Water Surface Tension (mN/m) Viscosity (mPa s)
    0 °C 75.6 1.79
    20 °C 72.8 1.00
    60 °C 66.2 0.47
    100 °C 58.9 0.28
    1. As temperature increases, what happens to the surface tension of water? Explain why this occurs, in terms of molecular interactions and the effect of changing temperature.
    2. As temperature increases, what happens to the viscosity of water? Explain why this occurs, in terms of molecular interactions and the effect of changing temperature.
  7. At 25 °C, how high will water rise in a glass capillary tube with an inner diameter of 0.63 mm? Refer to Example 13.2a for the required information.
  8. Water rises in a glass capillary tube to a height of 17 cm. What is the diameter of the capillary tube? Check Answer: [15]

13.3 – Phase Transitions

  1. Heat is added to boiling water. Explain why the temperature of the boiling water does not change. What does change?
  2. Heat is added to ice at 0 °C. Explain why the temperature of the ice does not change. What does change? Check Answer: [16]
  3. What feature characterizes the dynamic equilibrium between a liquid and its vapour in a closed container?
  4. Identify two common observations indicating some liquids have sufficient vapour pressures to noticeably evaporate? Check Answer: [17]
  5. Identify two common observations indicating some solids, such as dry ice and mothballs, have vapour pressures sufficient to sublime?
  6. What is the relationship between the intermolecular forces in a liquid and its vapour pressure? Check Answer: [18]
  7. What is the relationship between the intermolecular forces in a solid and its melting temperature?
  8. Why does spilled gasoline evaporate more rapidly on a hot day than on a cold day? Check Answer: [19]
  9. Carbon tetrachloride, CCl4, was once used as a dry cleaning solvent, but is no longer used because it is carcinogenic. At 57.8 °C, the vapour pressure of CCl4 is 54.0 kPa, and its enthalpy of vaporization is 33.05 kJ/mol. Use this information to estimate the normal boiling point for CCl4.
  10. When is the boiling point of a liquid equal to its normal boiling point? Check Answer: [20]
  11. How does the boiling of a liquid differ from its evaporation?
  12. Use the information in Figure 13.3d to estimate the boiling point of water in Denver when the atmospheric pressure is 83.3 kPa. Check Answer: [21]
  13. A syringe at a temperature of 20 °C is filled with liquid ether in such a way that there is no space for any vapour. If the temperature is kept constant and the plunger is withdrawn to create a volume that can be occupied by vapour, what would be the approximate pressure of the vapour produced?
  14. Explain the following observations:
    1. It takes longer to cook an egg in Ft. Davis, Texas (altitude, 5000 feet above sea level) than it does in Boston (at sea level).
    2. Perspiring is a mechanism for cooling the body.  Check Answer: [22]
  15. The enthalpy of vaporization of water is larger than its enthalpy of fusion. Explain why.
  16. Explain why the molar enthalpies of vaporization of the following substances increase in the order CH4 < C2H6 < C3H8, even though the type of IMF (dispersion) is the same. Check Answer: [23]
  17. Explain why the enthalpies of vaporization of the following substances increase in the order CH4 < NH3 < H2O, even though all three substances have approximately the same molar mass.
  18. The enthalpy of vaporization of CO2(l) is 9.8 kJ/mol. Would you expect the enthalpy of vaporization of CS2(l) to be 28 kJ/mol, 9.8 kJ/mol, or −8.4 kJ/mol? Discuss the plausibility of each of these answers. Check Answer: [24]
  19. The hydrogen fluoride molecule, HF, is more polar than a water molecule, H2O (for example, has a greater dipole moment), yet the molar enthalpy of vaporization for liquid hydrogen fluoride is lesser than that for water. Explain.
  20. Ethyl chloride (boiling point, 13 °C) is used as a local anesthetic. When the liquid is sprayed on the skin, it cools the skin enough to freeze and numb it. Explain the cooling effect of liquid ethyl chloride. Check Answer: [25]
  21. Which contains the compounds listed correctly in order of increasing boiling points?
    1. N2 < CS2 < H2O < KCl
    2. H2O < N2 < CS2 < KCl
    3. N2 < KCl < CS2 < H2O
    4. CS2 < N2 < KCl < H2O
    5. KCl < H2O < CS2 < N2
  22. How much heat is required to convert 422 g of liquid H2O at 23.5 °C into steam at 150 °C? Check Answer: [26]
  23. Evaporation of sweat requires energy and thus take excess heat away from the body. Some of the water that you drink may eventually be converted into sweat and evaporate. If you drink a 20-ounce bottle of water that had been in the refrigerator at 3.8 °C, how much heat is needed to convert all of that water into sweat and then to vapour? (Note: Your body temperature is 36.6 °C. For the purpose of solving this problem, assume that the thermal properties of sweat are the same as for water.)
  24. Titanium tetrachloride, TiCl4, has a melting point of −23.2 °C and has a ΔH fusion = 9.37 kJ/mol.
    1. How much energy is required to melt 263.1 g TiCl4?
    2. For TiCl4, which will likely have the larger magnitude: ΔH fusion or ΔH vaporization? Explain your reasoning. Check Answer: [27]

13.4 – Phase Diagrams

  1. From the phase diagram for water (Figure 13.4b), determine the state of water at:
    1. 35 °C and 85 kPa
    2. −15 °C and 40 kPa
    3. −15 °C and 0.1 kPa
    4. 75 °C and 3 kPa
    5. 40 °C and 0.1 kPa
    6. 60 °C and 50 kPa
  2. What phase changes will take place when water is subjected to varying pressure at a constant temperature of 0.005 °C? At 40 °C? At −40 °C?  Check Answer: [28]
  3. Pressure cookers allow food to cook faster because the higher pressure inside the pressure cooker increases the boiling temperature of water. A particular pressure cooker has a safety valve that is set to vent steam if the pressure exceeds 3.4 atm. What is the approximate maximum temperature that can be reached inside this pressure cooker? Explain your reasoning.
  4. From the phase diagram for carbon dioxide in Figure 13.4e, determine the state of CO2 at:
    1. 20 °C and 1000 kPa
    2. 10 °C and 2000 kPa
    3. 10 °C and 100 kPa
    4. −40 °C and 500 kPa
    5. −80 °C and 1500 kPa
    6. −80 °C and 10 kPa Check Answer: [29]
  5. Determine the phase changes that carbon dioxide undergoes as the pressure changes if the temperature is held at −50 °C? If the temperature is held at −40 °C? At 20 °C? (See the phase diagram in Figure 13.4e.)
  6. Consider a cylinder containing a mixture of liquid carbon dioxide in equilibrium with gaseous carbon dioxide at an initial pressure of 65 atm and a temperature of 20 °C. Sketch a plot depicting the change in the cylinder pressure with time as gaseous carbon dioxide is released at constant temperature. Check Answer: [30]
  7. Dry ice, CO2(s), does not melt at atmospheric pressure. It sublimes at a temperature of −78 °C. What is the lowest pressure at which CO2(s) will melt to give CO2(l)? At approximately what temperature will this occur? (See Figure 13.4e for the phase diagram.)
  8. If a severe storm results in the loss of electricity, it may be necessary to use a clothesline to dry laundry. In many parts of the country in the dead of winter, the clothes will quickly freeze when they are hung on the line. If it does not snow, will they dry anyway? Explain your answer. Check Answer: [31]
  9. Is it possible to liquefy nitrogen at room temperature (about 25 °C)? Is it possible to liquefy sulfur dioxide at room temperature? Explain your answers.
  10. Elemental carbon has one gas phase, one liquid phase, and two different solid phases, as shown in the phase diagram below:This figure shows an x-axis that is labeled, “Temperature ( K ),” and a y-axis labeled, “Pressure ( P a ).” The x-axis is marked off in increments of 2000 starting from 0. The y-axis is marked off at 0, 10 to the 7, ten to the 9, and ten to the 11. There is a slightly negatively sloped line that passes through the x-axis at about 3800. From this line there is a line that curves up and then down to the left to pass through the y-axis at ten to the 9. There is another line that goes up and to the right.
    1. On the phase diagram, label the gas and liquid regions.
    2. Graphite is the most stable phase of carbon at normal conditions. On the phase diagram, label the graphite phase.
    3. If graphite at normal conditions is heated to 2500 K while the pressure is increased to 1010 Pa, it is converted into diamond. Label the diamond phase.
    4. Circle each triple point on the phase diagram.
    5. In what phase does carbon exist at 5000 K and 108 Pa?
    6. If the temperature of a sample of carbon increases from 3000 K to 5000 K at a constant pressure of 106 Pa, which phase transition occurs, if any? Check Answer: [32]

Attribution & References

Except where otherwise noted, this page is adapted by Gregory A. Anderson from
  1. Liquids and solids are similar in that they are matter composed of atoms, ions, or molecules. They are incompressible and have similar densities that are both much larger than those of gases. They are different in that liquids have no fixed shape, and solids are rigid. ↵
  2. They are similar in that the atoms or molecules are free to move from one position to another. They differ in that the particles of a liquid are confined to the shape of the vessel in which they are placed. In contrast, a gas will expand without limit to fill the space into which it is placed. ↵
  3. All atoms and molecules will condense into a liquid or solid in which the attractive forces exceed the kinetic energy of the molecules, at sufficiently low temperature. ↵
  4. (a) Dispersion forces occur as an atom develops a temporary dipole moment when its electrons are distributed asymmetrically about the nucleus. This structure is more prevalent in large atoms such as argon or radon. A second atom can then be distorted by the appearance of the dipole in the first atom. The electrons of the second atom are attracted toward the positive end of the first atom, which sets up a dipole in the second atom. The net result is rapidly fluctuating, temporary dipoles that attract one another (example: Ar). (b) A dipole-dipole attraction is a force that results from an electrostatic attraction of the positive end of one polar molecule for the negative end of another polar molecule (example: ICI molecules attract one another by dipole-dipole interaction). (c) Hydrogen bonds form whenever a hydrogen atom is bonded to one of the more electronegative atoms, such as a fluorine, oxygen, or nitrogen atom. The electrostatic attraction between the partially positive hydrogen atom in one molecule and the partially negative atom in another molecule gives rise to a strong dipole-dipole interaction called a hydrogen bond (example: [latex]\text{HF}{\cdots}\text{HF}[/latex]). ↵
  5. The London forces typically increase as the number of electrons increase. ↵
  6. (a) SiH4 < HCl < H2O; (b) F2 < Cl2 < Br2; (c) CH4 < C2H6 < C3H8; (d) N2 < O2 < NO ↵
  7. Only rather small dipole-dipole interactions from C-H bonds are available to hold n-butane in the liquid state. Chloroethane, however, has rather large dipole interactions because of the Cl-C bond; the interaction is therefore stronger, leading to a higher boiling point. ↵
  8. −85 °C. Water has stronger hydrogen bonds so it melts at a higher temperature. ↵
  9. The hydrogen bond between two hydrogen fluoride molecules is stronger than that between two water molecules because the electronegativity of F is greater than that of O. Consequently, the partial negative charge on F is greater than that on O. The hydrogen bond between the partially positive H and the larger partially negative F will be stronger than that formed between H and O. ↵
  10. H-bonding is the principle IMF holding the DNA strands together. The H-bonding is between the [latex]\text{N}-\text{H}[/latex] and [latex]\text{C}=\text{O}[/latex]. ↵
  11. (a) hydrogen bonding and dispersion forces; (b) dispersion forces; (c) dipole-dipole attraction and dispersion forces ↵
  12. The water molecules have strong intermolecular forces of hydrogen bonding. The water molecules are thus attracted strongly to one another and exhibit a relatively large surface tension, forming a type of “skin” at its surface. This skin can support a bug or paper clip if gently placed on the water. ↵
  13. Temperature has an effect on intermolecular forces: the higher the temperature, the greater the kinetic energies of the molecules and the greater the extent to which their intermolecular forces are overcome, and so the more fluid (less viscous) the liquid; the lower the temperature, the lesser the intermolecular forces are overcome, and so the less viscous the liquid. ↵
  14. (a) As the water reaches higher temperatures, the increased kinetic energies of its molecules are more effective in overcoming hydrogen bonding, and so its surface tension decreases. Surface tension and intermolecular forces are directly related. (b) The same trend in viscosity is seen as in surface tension, and for the same reason. ↵
  15. 9.5 × 10−5 m ↵
  16. The heat is absorbed by the ice, providing the energy required to partially overcome intermolecular attractive forces in the solid and causing a phase transition to liquid water. The solution remains at 0 °C until all the ice is melted. Only the amount of water existing as ice changes until the ice disappears. Then the temperature of the water can rise. ↵
  17. We can see the amount of liquid in an open container decrease and we can smell the vapour of some liquids. ↵
  18. The vapour pressure of a liquid decreases as the strength of its intermolecular forces increases. ↵
  19. As the temperature increases, the average kinetic energy of the molecules of gasoline increases and so a greater fraction of molecules have sufficient energy to escape from the liquid than at lower temperatures. ↵
  20. When the pressure of gas above the liquid is exactly 1 atm ↵
  21. approximately 95 °C ↵
  22. (a) At 5000 feet, the atmospheric pressure is lower than at sea level, and water will therefore boil at a lower temperature. This lower temperature will cause the physical and chemical changes involved in cooking the egg to proceed more slowly, and a longer time is required to fully cook the egg. (b) As long as the air surrounding the body contains less water vapour than the maximum that air can hold at that temperature, perspiration will evaporate, thereby cooling the body by removing the heat of vaporization required to vaporize the water. ↵
  23. Dispersion forces increase with molecular mass or size. As the number of atoms composing the molecules in this homologous series increases, so does the extent of intermolecular attraction via dispersion forces and, consequently, the energy required to overcome these forces and vaporize the liquids. ↵
  24. The boiling point of CS2 is higher than that of CO2 partially because of the higher molecular weight of CS2; consequently, the attractive forces are stronger in CS2. It would be expected, therefore, that the heat of vaporization would be greater than that of 9.8 kJ/mol for CO2. A value of 28 kJ/mol would seem reasonable. A value of −8.4 kJ/mol would indicate a release of energy upon vaporization, which is clearly implausible. ↵
  25. The thermal energy (heat) needed to evaporate the liquid is removed from the skin. ↵
  26. 1130 kJ ↵
  27. (a) 13.0 kJ; (b) It is likely that the heat of vaporization will have a larger magnitude since in the case of vaporization the intermolecular interactions have to be completely overcome, while melting weakens or destroys only some of them. ↵
  28. At low pressures and 0.005 °C, the water is a gas. As the pressure increases to 4.6 torr, the water becomes a solid; as the pressure increases still more, it becomes a liquid. At 40 °C, water at low pressure is a vapour; at pressures higher than about 75 torr, it converts into a liquid. At −40 °C, water goes from a gas to a solid as the pressure increases above very low values. ↵
  29. (a) liquid; (b) solid; (c) gas; (d) gas; (e) gas; (f) gas ↵
  30. An x-axis is labeled at the left as “Full” and at the right as “Empty.” A y-axis is labeled at the top as “P.” Beneath the x-axis is the label “Amount released.” A horizontal line that then slopes downward is drawn about halfway up the vertical line and labeled on the left as “65 a t m.” About two-thirds of the way across the x-axis, it slopes downward in a straight line to meet the “empty” label on the bottom right of the axis. ↵
  31. Yes, ice will sublime, although it may take it several days. Ice has a small vapour pressure, and some ice molecules form gas and escape from the ice crystals. As time passes, more and more solid converts to gas until eventually the clothes are dry. ↵
  32. This figure shows an x-axis that is labeled, “Temperature (degree C),” and a y-axis labeled, “Pressure (kPa ).” The x-axis is marked off in increments of 25 starting from -100. The y-axis starts at 10 and is marked off at 100, 1000, 10,000, 100,000, and 1,000,000. There is a slightly positively sloped curved line that passes through the origin (-100, 10) at stops at the Tc line (about 28C). From this line at about -70C, there is a line that curves up steeply then flattens stopping at Tc. The region to the right of Tc is labelled SCF. The region between the two lines is labelled Liquid. To the left of the Liquid zone is labelled Solid. Below these sections is a zone labelled Gas. There are points a) (20, 1000), b) (5, 2000), c) (5, 85), d) -40, 500), e) (-75, 1100) and f) (-80, 10). ↵

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Enhanced Introductory College Chemistry Copyright © 2023 by Gregory Anderson; Caryn Fahey; Jackie MacDonald; Adrienne Richards; Samantha Sullivan Sauer; J.R. van Haarlem; and David Wegman is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

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