Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 22, Problem 58PQ
(a)
To determine
Microscopic states for the roll to obtain 2.
(b)
To determine
Microscopic states for the roll to obtain 8.
(c)
To determine
The rolls that correspond to minimum entropy.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A. Read each item carefully and choose the letter of the correct answer.
1. Which of the following statements best describes the Second Law of Thermodynamics?
A. The internal energy of the universe is constant.
B. Energy can neither be created nor destroyed.
C. At absolute zero, the entropy of a crystal is considered to be zero.
D. When an isolated system undergoes a spontaneous change, the entropy of the system increases.
2. Which of the following represents a spontaneous process?
A. ∆S<0
B. ∆S=0
C. ∆G>0
D. ∆G<0
3. Which of the following has the most entropy?
A. an empty classroom
B. a tennis ball inside a box
C. a flock of birds flying in V formation
D. a crowd of people on the streets of Santa Rosa City
B. Predict whether ∆S is positive or negative for the reaction: N2(g) + O2(g) → 2NO(g)
C. Which has greater entropy? 1mole of NaCl(5) or 1 mol of HCl(g)
QUESTION 7
Which of the following variables is not a state function?
a. Internal energy
b. Entropy
С. Неat
d. Volume
e. Pressure
A box contains two balls that can be either blue or red. A blue ball has an energy -E0 while a red ball has an energy E0. The box is connected to a heat bath of temperature T.
a. Enumerate all the possible microstates and their corresponding energies.
b. Calculate the partition function then write down the Helmholtz free energy. c. Solve for the entropy of the system.
Chapter 22 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 22.2 - Prob. 22.1CECh. 22.4 - Prob. 22.2CECh. 22.5 - Prob. 22.3CECh. 22.7 - You have considerable intuition about whether some...Ch. 22.9 - Prob. 22.5CECh. 22 - Prob. 1PQCh. 22 - Heat Engines Figure P22.2 shows a Carnot cycle....Ch. 22 - Use a PV diagram such as the one in Figure 22.2...Ch. 22 - Prob. 4PQCh. 22 - Prob. 5PQ
Ch. 22 - Prob. 6PQCh. 22 - An engine with an efficiency of 0.36 can supply a...Ch. 22 - Prob. 8PQCh. 22 - Prob. 9PQCh. 22 - Prob. 10PQCh. 22 - Prob. 11PQCh. 22 - Prob. 12PQCh. 22 - Prob. 13PQCh. 22 - Prob. 14PQCh. 22 - Prob. 15PQCh. 22 - Prob. 16PQCh. 22 - Prob. 17PQCh. 22 - Prob. 18PQCh. 22 - Prob. 19PQCh. 22 - Prob. 20PQCh. 22 - Prob. 21PQCh. 22 - In 1816, Robert Stirling, a Scottish minister,...Ch. 22 - Prob. 23PQCh. 22 - Prob. 24PQCh. 22 - Prob. 25PQCh. 22 - Prob. 26PQCh. 22 - Prob. 27PQCh. 22 - Prob. 28PQCh. 22 - Prob. 29PQCh. 22 - Prob. 30PQCh. 22 - Prob. 31PQCh. 22 - Prob. 32PQCh. 22 - Prob. 33PQCh. 22 - Prob. 34PQCh. 22 - Prob. 35PQCh. 22 - Estimate the change in entropy of the Universe if...Ch. 22 - Prob. 37PQCh. 22 - Prob. 38PQCh. 22 - Prob. 39PQCh. 22 - Prob. 40PQCh. 22 - Prob. 41PQCh. 22 - Prob. 42PQCh. 22 - Prob. 43PQCh. 22 - Prob. 44PQCh. 22 - Prob. 45PQCh. 22 - Prob. 46PQCh. 22 - Prob. 47PQCh. 22 - Prob. 48PQCh. 22 - Prob. 49PQCh. 22 - Prob. 50PQCh. 22 - Prob. 51PQCh. 22 - Prob. 52PQCh. 22 - Prob. 53PQCh. 22 - Prob. 54PQCh. 22 - Prob. 55PQCh. 22 - Prob. 56PQCh. 22 - What is the entropy of a freshly shuffled deck of...Ch. 22 - Prob. 58PQCh. 22 - Prob. 59PQCh. 22 - Prob. 60PQCh. 22 - Prob. 61PQCh. 22 - Prob. 62PQCh. 22 - Prob. 63PQCh. 22 - Prob. 64PQCh. 22 - Prob. 65PQCh. 22 - Prob. 66PQCh. 22 - Prob. 67PQCh. 22 - Prob. 68PQCh. 22 - Prob. 69PQCh. 22 - Prob. 70PQCh. 22 - A system consisting of 10.0 g of water at a...Ch. 22 - Prob. 72PQCh. 22 - Figure P22.73 illustrates the cycle ABCA for a...Ch. 22 - Prob. 74PQCh. 22 - Prob. 75PQCh. 22 - Prob. 76PQCh. 22 - Prob. 77PQCh. 22 - Prob. 78PQCh. 22 - Prob. 79PQCh. 22 - Prob. 80PQCh. 22 - Prob. 81PQ
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- (a) Construct a table showing the macro states and all of the individual microstates for tossing 13 coins. (Use Table 15.5 as a guide.) (b) How many macro states are there? (c) What is the total number of microstates? (d) What percent chance is here of tossing 5 heads and 1 tail? (e) How much more likely are you to toss 3 heads and 3 tails than 5 heads and 1 tail? (Take me ratio of the number of microstates to find out.)arrow_forwardWhich of the following thermodynamic quantities is not a state function? Explain. a. work b. entropy c. enthalpy d. free energyarrow_forwardA box contains two balls that can be either blue or red. A blue ball has an energy -E0 while a red ball has an energy E0. The box is connected to a heat bath of temperature T. A. Calculate the partition function then write down the Helmholtz free energy. B. Calculate the mean energy. C. Solve for the entropy of the system.arrow_forward
- Choose the correct statements. a. The equilibrium state is the macrostate with the smallest number of microstates. b. The equilibrium state is the macrostate with the largest number of microstates. c. The equilibrium state of an isolated system has minimum entropy. d. The equilibrium state of an isolated system has maximum entropy. e. Isolated systems always have maximum entropy.arrow_forwardA box contains two balls that can be either blue or red. A blue ball has an energy -E0 while a red ball has an energy E0. The box is connected to a heat bath of temperature T. a. Enumerate all the possible microstates and their corresponding energies. b. Calculate the partition function then write down the Helmholtz free energy. c. What is the probability that the box contains two red balls? d. Calculate the mean energy. e. Solve for the entropy of the system.arrow_forwardQUESTION 8 Which of the following statemtents is inconsistent with the second law of thermodynamics? a. Perpetual motion machines are impossible. b. A refrigerator cycle is a spontaneous process. c. Heat spontaneously flows from high temperature to low temperature regions. d. The arrow of time moves in the forward direction. e. The entropy of the universe tends to increase.arrow_forward
- Choose the correct statements. a. A system with a larger number of macrostates has a larger entropy. b. Entropy is the number of macrostates in a system. c. Entropy is proportional to the natural logarithm of the number of microstates in a system. d. Entropy is the number of microstates in a system. e. If system A has a larger number of microstates than system B, then the entropy of system A is larger than the entropy of system B. f. Entropy is proportional to the natural logarithm of the number of macrostates in a system.arrow_forward30. Which, of the following, is not a characteristic of an irreversible process in a closed system, such as the aging of the universe? A. The randomness of the system will increase. B. The entropy of the system will increase. C. The probability of greater order is greater than the probability of lesser order. D. The nature of the system is to become less ordered.arrow_forwardA sophomore with nothing better to do adds heat to 0.350kg of ice at 0.0oC until it is all melted. a. What is the change in entropy of the water? b. The source of heat is a very massive body at a temperature of 25.0 oC. What is the change in entropy of this body? c. What is the total change in entropy of the water and the heat source?arrow_forward
- 1. The system below shows a box with two indistinguishable balls (filled in circles) and four possible positions, with only one ball allowed in each position. Assume that the system starts with a barrier between side 1 and side 2. Calculate the change in entropy if the barrier is removed and the balls are able to freely move to other positions. Give your answer in units of J/K. +arrow_forwardWhich of the following statements about the Gibbs function (Gibbs free energy) are generally true? Select one or more: a. The minimization of the Gibbs function in thermodynamic equilibrium (under the right conditions) is a consequence of the maximization of the entropy of the considered system. b. The minimization of the Gibbs function in thermodynamic equilibrium is a consequence of the maximization of the total entropy of the system and the environment. C. The Gibbs function is minimized in thermodynamic equilibrium for a system whose temperature T, volume V and number of particles N are constant. d. The Gibbs function is minimized in thermodynamic equilibrium for a closed system whose temperature T and pressure p are constant.arrow_forwardA box contains two balls that can be either blue or red. A blue ball has an energy -E0 while a red ball has an energy E0. The box is connected to a heat bath of temperature T. a. Enumerate all the possible microstates and their corresponding energies. b. Calculate the partition function then write down the Helmholtz free energy. c. Calculate the mean energy.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
The Second Law of Thermodynamics: Heat Flow, Entropy, and Microstates; Author: Professor Dave Explains;https://www.youtube.com/watch?v=MrwW4w2nAMc;License: Standard YouTube License, CC-BY