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Ch.18 - Free Energy and Thermodynamics
Chapter 18, Problem 83b

Determine the sign of ΔSsys for each process. b. water freezing

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Identify the process: Water freezing is a phase change from liquid to solid.
Recall that entropy (ΔS) is a measure of disorder or randomness in a system.
Understand that in the liquid state, water molecules have more freedom of movement compared to the solid state.
Recognize that when water freezes, the molecules become more ordered as they form a crystalline structure.
Conclude that the entropy of the system decreases, so the sign of ΔS_sys is negative.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Entropy (ΔS)

Entropy, denoted as ΔS, is a measure of the disorder or randomness in a system. In thermodynamics, a positive ΔS indicates an increase in disorder, while a negative ΔS signifies a decrease in disorder. Understanding how entropy changes during a process is crucial for predicting the spontaneity and feasibility of that process.
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Phase Changes

Phase changes, such as freezing, involve transitions between solid, liquid, and gas states. During freezing, water transitions from a liquid to a solid state, which typically results in a decrease in entropy because the molecules become more ordered in the solid phase. Recognizing how phase changes affect entropy is essential for analyzing thermodynamic processes.
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Second Law of Thermodynamics

The Second Law of Thermodynamics states that the total entropy of an isolated system can never decrease over time. This principle implies that spontaneous processes tend to increase the overall entropy of the universe. When considering processes like water freezing, it is important to evaluate how the entropy of the system and surroundings changes to determine the sign of ΔS.
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Related Practice
Open Question

The change in enthalpy (ΔH°rxn) for a reaction is -25.8 kJ/mol. The equilibrium constant for the reaction is 1.4⨉103 at 298 K. What is the equilibrium constant for the reaction at 655 K?

Textbook Question

A reaction has an equilibrium constant of 8.5⨉103 at 298 K. At 755 K, the equilibrium constant is 0.65. Find ΔH°rxn for the reaction.

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Textbook Question

Determine the sign of ΔSsys for each process. a. water boiling

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Open Question
Our atmosphere is composed primarily of nitrogen and oxygen, which coexist at 25 °C without reacting to any significant extent. However, the two gases can react to form nitrogen monoxide according to the reaction: N2(g) + O2(g) → 2 NO(g). a. Calculate ΔG° and Kp for this reaction at 298 K. Is the reaction spontaneous? b. Estimate ΔG° at 2000 K. Does the reaction become more spontaneous as temperature increases?
Textbook Question

Nitrogen dioxide, a pollutant in the atmosphere, can combine with water to form nitric acid. One of the possible reactions is shown here. Calculate ΔG° and Kp for this reaction at 25 °C and comment on the spontaneity of the reaction. 3 NO2(g) + H2O(l)→ 2 HNO3(aq) + NO(g)

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Open Question

Ethene (C2H4) can be halogenated by the reaction: C2H4(g) + X2(g) → C2H4X2(g) where X2 can be Cl2, Br2, or I2. Use the thermodynamic data given to calculate ΔH°, ΔS°, ΔG°, and Kp for the halogenation reaction by each of the three halogens at 25 °C. Which reaction is most spontaneous? Least spontaneous? What is the main factor responsible for the difference in the spontaneity of the three reactions? Does higher temperature make the reactions more spontaneous or less spontaneous?

Compound ΔH°f (kJ/mol) S° (J/mol·K)

C2H4Cl2(g) -129.7 308.0

C2H4Br2(g) +38.3 330.6

C2H4I2(g) +66.5 347.8

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