Domanda del libro di testo
(a) What is the difference between a state and a microstate of a system?
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Ch.19 - Chemical Thermodynamics
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970
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TOC.tableOfContents
- Ch.1 - Introduction: Matter, Energy, and Measurement146
- Ch.2 - Atoms, Molecules, and Ions200
- Ch.3 - Chemical Reactions and Reaction Stoichiometry176
- Ch.4 - Reactions in Aqueous Solution155
- Ch.5 - Thermochemistry126
- Ch.6 - Electronic Structure of Atoms131
- Ch.7 - Periodic Properties of the Elements126
- Ch.8 - Basic Concepts of Chemical Bonding123
- Ch.9 - Molecular Geometry and Bonding Theories143
- Ch.10 - Gases147
- Ch.11 - Liquids and Intermolecular Forces91
- Ch.12 - Solids and Modern Materials122
- Ch.13 - Properties of Solutions126
- Ch.14 - Chemical Kinetics174
- Ch.15 - Chemical Equilibrium101
- Ch.16 - Acid-Base Equilibria139
- Ch.17 - Additional Aspects of Aqueous Equilibria146
- Ch.18 - Chemistry of the Environment72
- Ch.19 - Chemical Thermodynamics129
- Ch.20 - Electrochemistry142
- Ch.21 - Nuclear Chemistry101
- Ch.22 - Chemistry of the Nonmetals68
- Ch.23 - Transition Metals and Coordination Chemistry66
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry10
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Non è quello che usi tu?Cambia libro di testo
Capitolo 19, Problema 30b
(b) As a system goes from state A to state B, its entropy decreases. What can you say about the number of microstates corresponding to each state?
Guida verificata passo dopo passo1
Understand the concept of entropy in thermodynamics, which is a measure of the disorder or randomness in a system. It is related to the number of microstates (W), which are the different ways in which the system's particles can be arranged while still having the same total energy.
Recognize that entropy (S) is related to the number of microstates by the Boltzmann's equation, S = k \(\ln\)(W), where k is the Boltzmann constant and W is the number of microstates.
Identify that a decrease in entropy, as the system goes from state A to state B, implies that the number of microstates in state B is less than in state A. This is because a decrease in entropy suggests a decrease in disorder or randomness, meaning fewer possible arrangements of particles.
Conclude that since the entropy decreases from state A to state B, state A has more microstates compared to state B. This means that state A is more disordered or has more configurations at the microscopic level compared to state B.
Apply this understanding to predict the behavior of systems in different scenarios, considering how changes in entropy reflect changes in the number of microstates and thus the disorder of the system.
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Entropy
Entropy is a measure of the disorder or randomness in a system. In thermodynamics, it quantifies the number of ways a system can be arranged at the microscopic level, with higher entropy indicating more disorder. When a system transitions from a state of higher entropy to lower entropy, it suggests a decrease in the number of accessible microstates.
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02:46
Entropy in Thermodynamics
Microstates
Microstates refer to the specific configurations of a system at the molecular or atomic level that correspond to a particular macroscopic state. Each microstate represents a unique arrangement of particles, and the total number of microstates determines the entropy of the system. A decrease in entropy implies that the number of microstates available to the system has also decreased.
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01:23The Boltzmann Equation
Second Law of Thermodynamics
The Second Law of Thermodynamics states that in an isolated system, the total entropy can never decrease over time. This law implies that processes tend to move towards a state of greater disorder. However, in specific scenarios, such as the transition from state A to state B, if the entropy decreases, it may indicate that the system is interacting with its surroundings, leading to a net increase in the entropy of the universe.
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00:48Second Law of Thermodynamics Example
Pratica correlata
Domanda del libro di testo
Would each of the following changes increase, decrease, or have no effect on the number of microstates available to a system: (b) decrease in volume
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Domanda del libro di testo
For the isothermal expansion of a gas into a vacuum, ΔE = 0, q = 0, and w = 0. (b) Explain why no work is done by the system during this process.
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Domanda del libro di testo
(c) In a particular spontaneous process, the number of microstates available to the system decreases. What can you conclude about the sign of ΔSsurr?
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Domanda del libro di testo
(a) What sign for Δ𝑆 do you expect when the pressure on 0.600 mol of an ideal gas at 350 K is increased isothermally from an initial pressure of 0.750 atm?
(b) If the final pressure on the gas is 1.20 atm, calculate the entropy change for the process.
(c) Which of the following statements about this process are true? (i) The entropy change you calculated will be the same for at any other constant temperature. (ii) The value of Δ𝑆 you calculated is valid only if the compression is done irreversibly. (iii) If the number of moles of gas being compressed were decreased by a factor of three, the entropy change would increase by a factor of three.