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 7.4, Problem 47P
To determine
The fraction of atoms that were ionized as a function of temperature for the temperature range
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
What is the maximum wavelength shift Δλ = Blank 1. Calculate the answer by read surrounding text. fm for a Compton collision between a photon that travels at a speed of 254214189.33m/s and a free proton with mass 1.69E-27kg? [NOTE: Units of wavelength shift must be femtometer (fm). Enter only a numerical answer in two decimals on a space provided.]
(a) Calculate the speed of an electron that is in the n = 1 orbit of a hydrogen atom, and give your answerv as a fraction of the speed of light in empty space c, for example, v = 0.5 if the answer werev = c/2 = 1.50 × 108 m/s. (It isn’t.)(b) How many nanometers would be the wavelength of the photon emitted when the electron in a hydrogenatom jumps from the n = 3 orbit to the n = 2 orbit? This is the Hα line, and its light is scarlet, the color offresh human blood.(c) How many nanometers would be the wavelength of the photon emitted when the electron in a hydrogenatom jumps from the n = 2 orbit to the n = 1 orbit?(d) How many nanometers would be the wavelength of a photon that would have the minimum amount ofenergy needed to ionize any hydrogen atom? (Hint: Electromagnetic radiation with this wavelength or shorteris called extreme ultraviolet radiation.(e) How many electron-volts (eV) would the electron in part (7)(d) need to have?
A small lightbulb with volume 1cm3 is heated to
2000K. Estimate the energy inside the cavity due
to radiation in the wavelength range 550 to 575
nm (you may make the approximation that the
energy density is a constant over the wavelength
range). How many photons does this correspond
to?
Chapter 7 Solutions
An Introduction to Thermal Physics
Ch. 7.1 - Prob. 1PCh. 7.1 - Prob. 3PCh. 7.1 - Prob. 4PCh. 7.1 - Show that when a system is in thermal and...Ch. 7.1 - Prob. 7PCh. 7.2 - Prob. 8PCh. 7.2 - Prob. 9PCh. 7.2 - Prob. 11PCh. 7.2 - Prob. 12PCh. 7.2 - Prob. 13P
Ch. 7.2 - Prob. 14PCh. 7.2 - Prob. 15PCh. 7.2 - Prob. 16PCh. 7.2 - Prob. 17PCh. 7.2 - Prob. 18PCh. 7.3 - Prob. 19PCh. 7.3 - Prob. 20PCh. 7.3 - Prob. 21PCh. 7.3 - Prob. 22PCh. 7.3 - Prob. 24PCh. 7.3 - Prob. 25PCh. 7.3 - Prob. 26PCh. 7.3 - Prob. 29PCh. 7.3 - Prob. 32PCh. 7.3 - Prob. 33PCh. 7.3 - Prob. 34PCh. 7.4 - Prob. 37PCh. 7.4 - Prob. 38PCh. 7.4 - Prob. 39PCh. 7.4 - Prob. 40PCh. 7.4 - Prob. 41PCh. 7.4 - Prob. 42PCh. 7.4 - Prob. 43PCh. 7.4 - Prob. 44PCh. 7.4 - Prob. 45PCh. 7.4 - Prob. 46PCh. 7.4 - Prob. 47PCh. 7.4 - Prob. 48PCh. 7.4 - Prob. 49PCh. 7.4 - Prob. 50PCh. 7.4 - Prob. 51PCh. 7.4 - Prob. 52PCh. 7.4 - Prob. 53PCh. 7.4 - Prob. 54PCh. 7.4 - Prob. 55PCh. 7.4 - Prob. 56PCh. 7.5 - Prob. 57PCh. 7.5 - Prob. 58PCh. 7.5 - Prob. 59PCh. 7.5 - Prob. 60PCh. 7.5 - The heat capacity of liquid 4He below 0.6 K is...Ch. 7.5 - Prob. 62PCh. 7.5 - Prob. 63PCh. 7.5 - Prob. 64PCh. 7.6 - Prob. 65PCh. 7.6 - Prob. 66PCh. 7.6 - Prob. 67PCh. 7.6 - Prob. 68PCh. 7.6 - If you have a computer system that can do...Ch. 7.6 - Prob. 70PCh. 7.6 - Prob. 71PCh. 7.6 - Prob. 72PCh. 7.6 - Prob. 73PCh. 7.6 - Prob. 75P
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
- you have trapped neutrons in a box. What must be the size of the box if you measure photons of the same energy that you emit when the neutrons jump from the n=8 energy state back to ground state. Recall that body temperature is about 37 degrees celcius. (disclaimer: the answer is supposed to be 3.12*10^-10 m but I have not gotten anwsers near that value is it even possible to get the answer mentioned above? Any help in getting and or showing the steps to get the above answer is greatly appreciated!)arrow_forwardImagine we model a proton inside an atom’s nucleus as if it were a particle in a one-dimensional box. In this case, the width of the box should be approximately 10 fm. What are the energies of the proton for the ground state, first excited, and second excited state? If the proton dropped from the first excited or second excited to the groud state by emitting a photon, what energy would the photon carry in each case?arrow_forwardJ 6 Calculate the proportion of energy emitted by a black body radiator at T=5000 K in two bands of width 10 nm, once centered at 500 nm (visible light) and the other at 5000 nm (infrared light).arrow_forward
- In the classical limit calculate the wavelength corresponding to an electron with the energy of 95 keV (kiloelectronvolt). Give your answer in Angstrom (10-10 m, for example, if the answer is 1.6x10-10 m, then write 1.6 as your answer). This should give you a good idea why one can use a crystal lattice with an average interatomic distance of around 10-10 m to observe electron diffraction.arrow_forwardWhen two galaxies collide, the stars do not generally run into eachother, but the gas clouds do collide, triggeering a burst of new star formation. a) Estimate the probability that our Sun would collide with another star in the Andromeda galaxy if a collision between the Milky Way and Andromeda occured. Assume that each galaxy has 100 billion stars exactly like the sun, spread evenly over a circular disk with a radius of 100,000 lightyears. (Hint: first calculate total area of 100 billion circles with the radius of the Sun and then compare that to total area to the area of the Galatic disk) b) Estimate the probability of a collision between a gas cloud in our galaxy and one in the Andromeda galaxy. Assume that each galaxy has 100,000 clouds of warm hydrogen gas, each with a radius of 300 lightyears, spread evenly over the same disk. Use the same method as part A.arrow_forward(Hand by writing ans.)A certain atom has an energy level of 3.50 eV above the ground state. When excited to this state, it remains 4.0µs, on average, before emitting a photon and returning to the ground state. i) What is the energy of the photon? What is the wavelength of the photon? ii) What is the smallest possible uncertainty in the energy of the photon?arrow_forward
- This question relates to the practicality of searching for intelligent life in other solar systems by detecting their radio broadcasts (or aliens find us from ours). The closest stars are 4 light years away from us. How far away must you be from a 460 kHz radio station with power 50.0 kW for there to be only one photon per second per square meter? Assume that the photons spread out spherically. The area of a sphere is 4??24πr2. b) How many lightyears away is this?arrow_forwardAtomic hydrogen in its lowest energy state absorbs a photon, raising the electron to a n=3state. If we assume the lifetime of an excited state is 10^-10s, and if we make the rudimentary assumption that electrons orbit around protons. How many revolutions does an excited electron make before returning to the lower energy state?arrow_forwardThe number density of photons left over from the Big Bang has an energy dependence of the form n(E) = is the energy of the photon and T is the temperature of this relic radiation. (For your information, this temperature has been measured to be about -270 degrees Celsius, but don't use this information for the questions below.) ,where E e5/T _1' In order to see how this number density changes with energy, we need the derivative of n(E) with respect to E keeping T fixed. Evaluate dn/dE at fixed T As we go back in time, the temperature of this relic radiation increases. In order to figure out how the number density changes with temperature, we need the derivative of n with respect to T. Evaluate dn/dT at fixed E and enter it below.arrow_forward
- Consider photons at temperature T = 300K in a cubic box of volume 1 m' with periodic boundary conditions. a) Find the total number of photons in the lowest orbital state. What is the total energy of these photons? Hint: The 1-particle energy of photons is ɛ(k,s)=ħck = hc , independent of polarization s. Consider the Bose-Einstein distribution function (with u= 0) for the lowest-energy orbital states 2л k, = (1,0,0), k, =(0,1,0), k, =(0,0,1). Find the total number of photons that occupy L L L these states, taking into account that each of the orbital states has 2 polarizations s. b) Find the number of photons in a single orbital state with wavelength 2 = 5000 Å. What is the total energy of these photons?arrow_forwardThere is no direct measure of the mass of the graviton, since it has never been directly observed. However, the fact that clusters of galaxies are gravitationally bound together means that gravity must extend at least to the 1023-meter size of these astronomical objects. Assuming this as a range for the gravitational force, use the uncertainty principle to find maximum mass for the graviton in eV.arrow_forwardDetermine lm , the wavelength at the peak of the Planck distribution, and the corresponding frequency ƒ, at these temperatures: (a) 3.00 K; (b) 300 K; (c) 3000 K.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