Chapter 19: Problem 88
For each of the following processes, indicate whether the signs of \(\Delta S\) and \(\Delta H\) are expected to be positive, negative, or about zero. (a) A solid sublimes. (b) The temperature of a sample of \(\mathrm{Co}(s)\) is lowered from \(60^{\circ} \mathrm{C}\) to \(25^{\circ} \mathrm{C}\). (c) Ethyl alcohol evaporates from a beaker. (d) A diatomic molecule dissociates into atoms. (e) A piece of charcoal is combusted to form \(\mathrm{CO}_{2}(g)\) and \(\mathrm{H}_{2} \mathrm{O}(g)\)
Short Answer
Step by step solution
Understand the concepts of ΔS and ΔH
Analyze process (a) - Sublimation of a solid
Analyze process (b) - Cooling of a solid
Analyze process (c) – Evaporation of ethyl alcohol
Analyze process (d) – Dissociation of diatomic molecules
Analyze process (e) – Combustion of charcoal
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Entropy
1. **Sublimation of a solid** - As a solid transforms directly into gas, the molecules gain freedom, increasing randomness. Thus, \( \Delta S \) is positive.
- Greater freedom of molecules in gas phase
- Increased randomness
- Reduced thermal motion
- Lesser disorder
- Increased molecular freedom
- Greater disorder
- More particles formed
- Increased disorder
- Production of gases
- Increased system disorder
Enthalpy
1. **Sublimation** - Moving from solid to gas requires heat, classifying it as endothermic, so \( \Delta H \) is positive.
- Heat needed for phase transition
- Release of heat
- Heat absorption for phase change
- Energy needed to break bonds
- Energy release through heat
Phase Transitions
1. **Sublimation** - Transition from solid to gas bypassing the liquid state. During sublimation, entropy increases due to increased randomness of gas molecules.
- Direct solid to gas transition
- Large increase in disorder
- Heat absorption needed
- Increased freedom of molecules
- Decrease in molecular motion
- Lessened disorder
Chemical Reactions
1. **Dissociation** - Breaking a diatomic molecule into atoms increases entropy by raising the number of particles, needing energy input.
- Separation of atoms
- Increased number of particles
- Oxidation releasing heat
- Production of gases
- Reactions can be exothermic or endothermic
- Entropy change depends on product formation