Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
expand_more
expand_more
format_list_bulleted
Question
Chapter 38, Problem 35P
To determine
The molar specific heat at constant volume.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Grüneisen parameter for silicon The silicon crystal (diamond structure) has the following properties at 500
K. The lattice parameter (a) = 0.5440 nm, thermal expansion coefficient (a) = 3.6x106 K-', and the bulk
modulus is about the same as that at room temperature (K = 99 GPa). The Debye temperature of Si is 625 K.
At room temperature (300 K) its density is 2.33 g cm³, and its lattice constant is 0.5430 nm. Calculate the
Grüneisen parameter at 500 K and compare with its value at room temperature in Table 1. Is 3 constant?
Q10: Find the accurate probability for an electron to occupy a level 0.2eV
under the Fermi level at temperature 50°C ? Compare the result with
approximate equation?.
The Fermi energy of silver is µF = 5.51 eV.
a) Calculate µ(7) of Ag at T = 400 and 4000 K.
b) What is the rms speed of electrons at 0 K? What is the Fermi velocity?
c) Plot the Fermi function at 0 and 4000 K in one graph and discuss the differences.
Chapter 38 Solutions
Physics for Scientists and Engineers
Ch. 38 - Prob. 1PCh. 38 - Prob. 2PCh. 38 - Prob. 3PCh. 38 - Prob. 4PCh. 38 - Prob. 5PCh. 38 - Prob. 6PCh. 38 - Prob. 7PCh. 38 - Prob. 8PCh. 38 - Prob. 9PCh. 38 - Prob. 10P
Ch. 38 - Prob. 11PCh. 38 - Prob. 12PCh. 38 - Prob. 13PCh. 38 - Prob. 14PCh. 38 - Prob. 15PCh. 38 - Prob. 16PCh. 38 - Prob. 17PCh. 38 - Prob. 18PCh. 38 - Prob. 19PCh. 38 - Prob. 20PCh. 38 - Prob. 21PCh. 38 - Prob. 22PCh. 38 - Prob. 23PCh. 38 - Prob. 24PCh. 38 - Prob. 25PCh. 38 - Prob. 26PCh. 38 - Prob. 27PCh. 38 - Prob. 28PCh. 38 - Prob. 29PCh. 38 - Prob. 30PCh. 38 - Prob. 31PCh. 38 - Prob. 32PCh. 38 - Prob. 33PCh. 38 - Prob. 34PCh. 38 - Prob. 35PCh. 38 - Prob. 36PCh. 38 - Prob. 37PCh. 38 - Prob. 38PCh. 38 - Prob. 39PCh. 38 - Prob. 40PCh. 38 - Prob. 41PCh. 38 - Prob. 42PCh. 38 - Prob. 43PCh. 38 - Prob. 44PCh. 38 - Prob. 45PCh. 38 - Prob. 46PCh. 38 - Prob. 47PCh. 38 - Prob. 48PCh. 38 - Prob. 49PCh. 38 - Prob. 50PCh. 38 - Prob. 51PCh. 38 - Prob. 52PCh. 38 - Prob. 53PCh. 38 - Prob. 54PCh. 38 - Prob. 55PCh. 38 - Prob. 56PCh. 38 - Prob. 57PCh. 38 - Prob. 58PCh. 38 - Prob. 59PCh. 38 - Prob. 60PCh. 38 - Prob. 61PCh. 38 - Prob. 62PCh. 38 - Prob. 63PCh. 38 - Prob. 64PCh. 38 - Prob. 65PCh. 38 - Prob. 66PCh. 38 - Prob. 67PCh. 38 - Prob. 68PCh. 38 - Prob. 69PCh. 38 - Prob. 70PCh. 38 - Prob. 71PCh. 38 - Prob. 72PCh. 38 - Prob. 73PCh. 38 - Prob. 74PCh. 38 - Prob. 75PCh. 38 - Prob. 76P
Knowledge Booster
Similar questions
- The Fermi energy of copper is 7.0 eV. Verify that the corresponding Fermi speed is 1600 km/s.arrow_forwardQ3/ An experiment was conducted to find the relationship between the specific heat of potassium metal and the temperature, and it was found that this relationship takes the following formula at low temperatures 2.08 +2.57 T2 What is the value of each of: (1) the fermi temperature of potassium? (b) Debye temperature of potassium? Note that specific heat is measured in units of mj / mol / K.arrow_forwardPlot the Fermi function Vs. Energy at the temperature of 500 K, when EF = 2 eVarrow_forward
- Calculate the threshold frequency of Gold with 7.8x10^-19 J Work Function.arrow_forwardSilver contains 5.8 * 1028 free electrons per cubic meter. At absolute zero, what is the density of states (in states>J and states>eV) at the Fermi energy for a block of silver of volume 1.0 cm3?arrow_forwardSilver contains 5.8 * 1028 free electrons per cubic meter. At absolute zero, what is the Fermi energy (in J and eV) of silver?arrow_forward
- 21. 14-4 Lattice specific heat of a 1D crystal of inert gas atoms. Consider a one-dimensional crystal of inert gas atoms. Let L be the length of the crystal and N the number of atoms. Let a be the lattice constant. . Evaluate the phonon density of states for this crystal. i. Derive an integral expression for the lattice specific heat of the crystal. iii. Evaluate the lattice specific heat in the high- and low- temperature limits.arrow_forward10-17. Show that Cy 3 is the constant volume heat capacity of an ideal Fermi-Dirac gas if µo > kT, where f(ɛ) is the density of states.arrow_forward.In sodium there are about 2.6 x 1028 conduction electrons per cubic metre which behave as a free electron gas. Fronm these facts estimate the Fermi energy of the gas and an approximate value of the molar electronic heat capacity at 300K.arrow_forward
- For a solid in which the occupation of the energy states is given by the Fermi- Dirac distribution, the probability that a certain state is occupied at a temperature To is 0.4. If the temperature is doubled to 2To, what is the probability that the same state is occupied? Assume that the Fermi energy does not change with temperature.arrow_forwardThe Fermi energies of two metals X and Y are 5 eV and 7eV and their Debye temperatures are 170 K and 340 K , respectively. The molar specific heats of these metals volume at low temperatures be written as at constant can (C, )x =rxT + AxT' and (C, ), =7yT+ A,T³ where y and A are constants. Assuming that the thermal effective mass of the electrons in the two metals are same, which of the following is correct? 7 Ax = 8 (b) Y x 7 Ax 1 (a) = - = - 5'Ay 5' A, 8. Y Y x 5 Аx 1 Y x 5 Аx (c) (d) = 8 = - 7' Ay 7' Ay 8. II IIarrow_forwardWhat are the maximum values of the room temperature values (300 K) of the diffusion coefficients for electrons and holes in silicon based on the mobilities as shown ?arrow_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