An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 3.2, Problem 15P
To determine
The heat capacity of a star using virial theorem.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Problem 4.1. Recall Problem 1.34, which concerned an ideal diatomic gas taken around a rectangular cycle on a PV diagram. Suppose now that this system is used as a heat engine, to convert the heat added into mechanical work. (a) Evaluate the efficiency of this engine for the case V2 = 3V1, P2 = 2P1. (b) Calculate the efficiency of an "ideal" engine operating between the same temperature extremes.
Problem 1.33. An ideal gas is made to undergo the cyclic process shown in
Figure 1.10(a). For each of the steps A, B, and C, determine whether each of
the following is positive, nogative, or zero: (a) the work done on the gas; (b) the
change in the energy content of the gas: (c) the heat added to the gas. Then
determine the sign of each of these three quantities for the whole cycle. What does
this process accomplish?
(a)
A (b)
B
Pa
B
A
A
D
Volume
V1
V Volume
Figure 1.10. PV diagrams for Problems 1.33 and 1.34.
steps; for example, during step A, heat is added to the gas (from an external
flame or something) while the piston is held fixed.
(c) Compute the net work done on the gas, the net heat added to the gas, and
the net change in the energy of the gas during the entire cycle. Are the
results as you expected? Explain briefly.
Show that knowing the initial condition of a compressed system consisting of a gas
you can derive its final temperature.
Pressure
Pressure
Statical Mechanics (Thermal and Statical Physics)
Instruction:
Write ALL the solutions of this (necessary or and not direct answer). Write also the equations that are needed to solve for a certain problem. Thank you.
Problem: Now, we have the number of microstates and in between E and E + ∆E in isolated system of N particles in the volume V is given by: (Please see the image attached)
Where a,b, c are constants.
Note: Answer also letter A-D
Chapter 3 Solutions
An Introduction to Thermal Physics
Ch. 3.1 - Use Table 3.1 to compute the temperature of solid...Ch. 3.1 - Use the definition of temperature to prove the...Ch. 3.1 - Figure 3.3 shows graphs of entropy vs. energy for...Ch. 3.1 - Can a miserly system, with a concave-up...Ch. 3.1 - Prob. 5PCh. 3.1 - Prob. 6PCh. 3.1 - Prob. 7PCh. 3.2 - Prob. 8PCh. 3.2 - In solid carbon monoxide, each CO molecule has two...Ch. 3.2 - An ice cube (mass 30 g) at 0C is left sitting on...
Ch. 3.2 - In order to take a nice warm bath, you mix 50...Ch. 3.2 - Estimate the change in the entropy of the universe...Ch. 3.2 - When the sun is high in the sky, it delivers...Ch. 3.2 - Experimental measurements of the heat capacity of...Ch. 3.2 - Prob. 15PCh. 3.2 - A bit of computer memory is some physical object...Ch. 3.3 - Prob. 17PCh. 3.3 - Prob. 18PCh. 3.3 - Prob. 19PCh. 3.3 - Prob. 20PCh. 3.3 - Prob. 21PCh. 3.3 - Prob. 22PCh. 3.3 - Prob. 23PCh. 3.3 - Prob. 24PCh. 3.3 - Prob. 25PCh. 3.3 - Prob. 26PCh. 3.4 - What partial-derivative relation can you derive...Ch. 3.4 - A liter of air, initially at room temperature and...Ch. 3.4 - Sketch a qualitatively accurate graph of the...Ch. 3.4 - As shown in Figure 1.14, the heat capacity of...Ch. 3.4 - Experimental measurements of heat capacities are...Ch. 3.4 - A cylinder contains one liter of air at room...Ch. 3.4 - Prob. 33PCh. 3.4 - Polymers, like rubber, are made of very long...Ch. 3.5 - Prob. 35PCh. 3.5 - Prob. 36PCh. 3.5 - Prob. 37PCh. 3.5 - Suppose you have a mixture of gases (such as air,...Ch. 3.6 - Prob. 39P
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
- Your calculator can't handle enormous exponents, but we can make sense of large powers of e by converting them to large powers of 10. If we write e = 10%, then eß = (10°)³ = 10³. Part A What is the value of a? απ 17 ΑΣΦ Submit Part B Request Answer What is the multiplicity of a macrostate with entropy S = 1.0 J/K? Give your answer as a power of 10. Ω = 10αβ; αβ= =) Π| ΑΣΦarrow_forwardProblem 1.2. The Rankine temperature scale (abbreviated °R) uses the same size degrees as Fahrenheit, but measured up from absolute zero like kelvin (so Rankine is to Fahrenheit as kelvin is to Celsius). Find the conversion formula between Rankine and Fahrenheit, and also between Rankine and kelvin. What is room temperature on the Rankine scale?arrow_forwardProblem 1.14. Calculate the mass of a mole of dry air, which is a mixture of N2 (78% by volume), 02 (21%), and argon (1%). 2. Construct a mental "model" of a container full gas to describe how, exactly, is temperature related to energy? Use the Macroscopic Model of an Ideal Gas. Precisely, you want to know how the temperature of a gas is related to the kinetic energy of the molecules it contains.arrow_forward
- Problem 1.18. Calculate the rms speed of a nitrogen molecule at room temperature.arrow_forward1.1 A quantity of ideal monatomic gas consists of n molecules initially at temperature Ta. The pressure and volume are then slowly doubled in such a manner as to trace out a straight line on a p-V diagram. (a) In terms of n, R, and Ta, calculate: The work W (i) The internal energy AU (b) What would be the value of the molar specific heat for this process?arrow_forwardrork 28 the ofnly Problem 1.31. Imagine some helium in a cylinder with an initial volume of 1 liter and an initial pressure of 1 atm. Somehow the helium is made to expand to a final volume of 3 liters, in such a way that its pressure rises in direct proportion to its volume. (a) Sketch a graph of pressure vs. volume for this process. (b) Calculate the work done on the gas during this process, assuming that there are no "other" types of work being done. (c) Calculate the change in the helium's energy content during this process. (d) Calculate the amount of heat added to or removed from the helium during this process. (e) Describe what you might do to cause the pressure to rise as the helium еxpands. Problem 1.33. An ideal gas is made to undergo the cyclic process shown in Figure 1.10(a). For each of the steps A, B, and C, determine whether each of the following is positive, nogative, or zero: (a) the work done on the gas; (b) the change in the energy content of the gas; (c) the heat…arrow_forward
- (b) Consider the following heat system on the real line: U - U = 0, XER, 1>0 %3D u(x, 0) = | sin x), rER. i. Use the fundamental solution of the heat equation to write down a solution u to the system above as an integral. ii. Show that the solution u that you have found is bounded by 1.arrow_forward1.9. Making use of the fact that the entropy S(N, V, E) of a thermodynamic system is an extensive quantity, show that as as as N (³N) VE + V ( ³5 ) N.F + E (³E) N.V av Note that this result implies that (-Nµ+ PV + E)/T = S, that is, Nμ = E + PV - TS. = S.arrow_forwardYour calculator can't handle enormous exponents, but we can make sense of large powers of e by converting them to large powers of 10. If we write e = 10°, then eß = (10ª)³ = 108. What is the value of a? α = 0.43 Submit ✓ Correct Part B Previous Answers What is the multiplicity of a macrostate with entropy S = 0.80 J/K? Give your answer as a power of 10. IVE ΑΣΦ = 10; aß= 1.575 1023 Submit Previous Answers Request Answer X Incorrect; Try Again Provide Feedback ?arrow_forward
- I need help with C) my answer of-192 is in correct Suppose that while pumping up a bike tire, we fairly rapidly compress 1900 cm3 of air from atmospheric pressure and room temperature to a pressure of about 5 atm (which is about 60 psi above atmospheric pressure, which is what a tire gauge would read). (a) What is this packet of air’s volume as it enters the tire? The volume of the packet of air is _601.85cm3. (b) What is its final temperature? The final temperature is 475 K. (c) How much work did we do to compress it? The work done to compress air is _______J.arrow_forwardProblem 1.24. Calculate the total thermal energy in a gram of lead at room temperature, assuming that none of the degrees of freedom are "frozen out" (this happens to be a good assumption in this case).arrow_forwardAssuming a source free region, derive the following equation. The symbols have the usual meaning. atarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON