Book cover for Chemistry The Science in Context

Chemistry The Science in Context

Thomas R. Gilbert

ISBN #9780393615142

5th Edition

2,675 Questions

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191,124 Students Helped

Homework Questions

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Summary

Learning Objectives

Key Concepts

Example Problems

Explanations

Common Mistakes

Summary

This chapter delves into the microscopic origins and diverse manifestations of intermolecular forces, from hydrogen bonding, dipole–dipole, and dispersion forces to their influence on macroscopic properties like boiling point, vapor pressure, and solubility. Through quantitative tools like Henry’s Law and the Clausius–Clapeyron equation, the chapter explains how these forces govern phase changes and gas solubility. Special emphasis is placed on water, whose unique hydrogen bonding leads to exceptional properties such as high surface tension and anomalous density behavior, underscoring its critical role in both natural phenomena and industrial applications.

Learning Objectives

1

Differentiate between intramolecular and intermolecular forces and explain their roles in determining physical properties.

2

Analyze and compare various types of intermolecular forces including hydrogen bonding, dipole–dipole, and dispersion forces.

3

Apply quantitative models such as Henry’s law and the Clausius–Clapeyron equation to predict gas solubility and phase changes.

4

Understand the unique properties of water attributable to hydrogen bonding, including high surface tension, capillary action, and anomalous density behavior.

5

Interpret phase diagrams and assess nonideal interactions for applications in chemical engineering and pharmaceutical design.

Key Concepts

CONCEPT

DEFINITION

Intramolecular Forces

Forces that act within a molecule, holding its atoms together via covalent or ionic bonds.

Intermolecular Forces

Forces that occur between molecules, affecting physical properties like boiling point, vapor pressure, and solubility.

Hydrogen Bonding

A strong type of dipole–dipole interaction that occurs when a hydrogen atom bonded to an electronegative atom interacts with a lone pair of another electronegative atom.

Dipole–Dipole Interactions

Attractive forces between polar molecules due to the presence of permanent dipoles.

Dispersion Forces

Also known as London dispersion forces, these are weak intermolecular forces arising from temporary fluctuations in electron density.

Henry’s Law

A principle that relates the solubility of a gas in a liquid to the partial pressure of the gas above the liquid.

Clausius–Clapeyron Equation

A relationship that describes the phase transition between two phases of matter, such as liquid to vapor, in terms of temperature and pressure.

Phase Diagrams

Graphical representations showing the phases of a substance as a function of temperature and pressure.

Anomalous Density Behavior of Water

The unusual property where water reaches maximum density at 4°C and expands upon freezing due to hydrogen bonding.

Nonideal Interactions

Interactions in real systems that deviate from ideal behaviors, often modeled to account for complex intermolecular forces.

Example Problems

Example 1

Look at the pairs of ions in the structures of KF and KI represented in Figure P10.1. Which substance has the stronger cation-anion attractive forces and the higher melting point? Explain your answer.

Example 2

In Figure $\mathrm{P} 10.2,$ identify the physical state (solid, liquid, or gas) of xenon and classify the attractive forces between the xenon atoms.

Example 3

Figure $\mathrm{P} 10.3$ depicts molecules of $\mathrm{XH}_{3}$ and $\mathrm{YH}_{3}$ (not shown to scale) and the boiling points of $\mathrm{XH}_{3}$ and $\mathrm{YH}_{3}$ at 1 atm pressure. One substance is phosphine $\left(\mathrm{PH}_{3}\right)$ and the other substance is ammonia (NH$_{3}$). Which molecule is phosphine? Explain your answer.

Example 4

Figure P10.4 shows representations of the molecules pentane, $\mathrm{C}_{5} \mathrm{H}_{12},$ and decane, $\mathrm{C}_{10} \mathrm{H}_{22} .$ Which substance has the lower freezing point? Explain your answer.

Example 5

The graphs in Figure $\mathrm{P} 10.5$ have the same scales and describe the change in $\ln \left(P_{\text {vap }}\right)$ of two pure liquids as a function of temperature. Which liquid has the stronger intermolecular attractive forces? Explain your answer.

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Step-by-Step Explanations

QUESTION

How does hydrogen bonding contribute to water's high boiling point compared to other similar-sized molecules?

STEP-BY-STEP ANSWER:

Step 1: Identify that water molecules are polar due to the electronegativity difference between oxygen and hydrogen.
Step 2: Recognize that each water molecule can form multiple hydrogen bonds with neighboring water molecules, creating an extensive network.
Step 3: Understand that this hydrogen bonding network requires extra energy to break, leading to a higher boiling point.
Step 4: Compare with similar-sized molecules lacking such extensive hydrogen bonding, which typically have lower boiling points.
Final Answer: The presence of strong hydrogen bonding in water increases the energy required for a phase transition, resulting in its high boiling point.

Hydrogen Bonding

QUESTION

Explain how dispersion forces influence the physical properties of nonpolar molecules.

STEP-BY-STEP ANSWER:

Step 1: Recognize that dispersion forces arise from temporary fluctuations in electron density in nonpolar molecules.
Step 2: Understand that these forces are generally weaker than hydrogen bonds or dipole–dipole attractions but are present in all molecules.
Step 3: Identify that as the size of the molecule or number of electrons increases, dispersion forces become more significant.
Step 4: Note that increased dispersion forces can lead to higher boiling points and greater solubility in nonpolar solvents.
Final Answer: Dispersion forces, though weak individually, can collectively enhance the physical properties such as boiling point in larger nonpolar molecules.

Dispersion Forces

QUESTION

How can Henry’s Law and the Clausius–Clapeyron equation be used to predict gas solubility and phase changes?

STEP-BY-STEP ANSWER:

Step 1: Identify Henry’s Law as relating the solubility of a gas in a liquid to its partial pressure above the liquid.
Step 2: Use Henry’s Law to calculate the concentration of dissolved gas given a specific pressure.
Step 3: Recognize that the Clausius–Clapeyron equation describes the relationship between vapor pressure and temperature during phase transitions.
Step 4: Apply the Clausius–Clapeyron equation to predict changes in vapor pressure as a function of temperature changes.
Final Answer: Combining Henry’s Law and the Clausius–Clapeyron equation allows quantitative predictions for gas solubility under various pressures and phase change behaviors with temperature variations.

Henry’s Law and Clausius–Clapeyron Equation

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Common Mistakes

  • Confusing intramolecular forces (within a molecule) with intermolecular forces (between molecules).
  • Underestimating the strength and impact of hydrogen bonding, especially in water.
  • Assuming that all nonpolar molecules behave identically, without considering the effects of dispersion forces varying with molecular size.
  • Neglecting the influence of nonideal interactions when interpreting phase diagrams and applying quantitative equations like Henry’s Law.
  • Overlooking the cumulative effect of weak intermolecular forces in determining macroscopic properties.