College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 28, Problem 47AP
(a)
To determine
The energy is required to cause an electron in hydrogen to move from the
n = 1
state to the
n = 2
.
(b)
To determine
The minimum temperature of the heated hydrogen gas.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
(a) How much energy is required to cause an electron in hydrogen to move from the n = 2 state to the n = 5 state?
in J(b) Suppose the atom gains this energy through collisions among hydrogen atoms at a high temperature. At what temperature would the average atomic kinetic energy 3/2 * kBT be great enough to excite the electron? Here kB is Boltzmann's constant.
in K
(a) How much energy is required to cause an electron in hydrogen to move from the n = 2 state to the n = 5 state?in J(b) Suppose the atom gains this energy through collisions among hydrogen atoms at a high temperature. At what temperature would the average atomic kinetic energy 3/2 * kBT be great enough to excite the electron? Here kB is Boltzmann's constant.
in K
The population ratio between two energy levels
ni
nj
separated in energy by:
A E = E₁ - Ej
with AE = 1.1×10-22 J is 0.84. That is:
ni
= 0.84 with AE = 1.1×10-22]
nj
Remember the Boltzmann equation for the population of particles in state i with energy Ei at temperature T is:
N
n₁ = = e
Z
What is the temperature of the system (use two sig figs)?
4.0 ✓
K
Chapter 28 Solutions
College Physics
Ch. 28.3 - Prob. 28.1QQCh. 28.4 - Prob. 28.2QQCh. 28.5 - Prob. 28.3QQCh. 28 - Prob. 1CQCh. 28 - Prob. 2CQCh. 28 - Prob. 3CQCh. 28 - Prob. 4CQCh. 28 - Prob. 5CQCh. 28 - Prob. 6CQCh. 28 - Prob. 7CQ
Ch. 28 - Prob. 8CQCh. 28 - Prob. 9CQCh. 28 - Prob. 10CQCh. 28 - Prob. 11CQCh. 28 - Prob. 12CQCh. 28 - Prob. 13CQCh. 28 - Prob. 14CQCh. 28 - Prob. 15CQCh. 28 - Prob. 1PCh. 28 - Prob. 2PCh. 28 - Prob. 3PCh. 28 - Prob. 4PCh. 28 - Prob. 5PCh. 28 - Prob. 6PCh. 28 - Prob. 7PCh. 28 - Prob. 8PCh. 28 - Prob. 9PCh. 28 - Prob. 10PCh. 28 - Prob. 11PCh. 28 - Prob. 12PCh. 28 - Prob. 13PCh. 28 - Prob. 14PCh. 28 - Prob. 15PCh. 28 - Prob. 16PCh. 28 - Prob. 17PCh. 28 - Prob. 18PCh. 28 - Prob. 19PCh. 28 - Prob. 20PCh. 28 - Prob. 21PCh. 28 - Prob. 22PCh. 28 - Prob. 23PCh. 28 - Prob. 24PCh. 28 - Prob. 25PCh. 28 - Prob. 26PCh. 28 - Prob. 27PCh. 28 - Prob. 28PCh. 28 - Prob. 29PCh. 28 - Prob. 30PCh. 28 - Prob. 31PCh. 28 - Prob. 32PCh. 28 - Prob. 33PCh. 28 - Prob. 34PCh. 28 - Prob. 35PCh. 28 - Prob. 36PCh. 28 - Prob. 37PCh. 28 - Prob. 38PCh. 28 - Prob. 39PCh. 28 - Prob. 40PCh. 28 - Prob. 41PCh. 28 - Prob. 42PCh. 28 - Prob. 43PCh. 28 - Prob. 44PCh. 28 - Prob. 45PCh. 28 - Prob. 46APCh. 28 - Prob. 47APCh. 28 - Prob. 48APCh. 28 - Prob. 49APCh. 28 - Prob. 50APCh. 28 - Prob. 51APCh. 28 - Prob. 52APCh. 28 - Prob. 53APCh. 28 - Prob. 54AP
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
- If the electrons gain this energy by collision between hydrogen atoms in a high temperature gas, find the minimum temperature of the heated hydrogen gas. The thermal energy of the heated atoms is given by 3 kB T 2, where the Boltzmann constant is 1.38 × 10-23 J/K. Answer in units of K.arrow_forwardatoms can occupy only certain discrete energy levels. Consider a gas at a temperature of 2 500 K whose atoms can occupy only two energy levels separated by 1.50 eV, where 1 eV (electron volt) is an energy unit equal to 1.60 × 10-19 J. Determine the ratio of the number of atoms in the higher energy level to the number in the lower energy level.arrow_forward(a) The Einstein A coefficient of the 3p² ³P1/2 →3s² ³S₁/2 transition in sodium is 6.14 x 107 s¹. A gas of sodium atoms is excited to the 3p23P1/2 level at time t = 0. What fraction of the atoms are still in the upper level after 20 ns ?arrow_forward
- One cubic meter of atomic hydrogen at 0°C at atmospheric pressure contains approximately 2.70 × 10 25 atoms. The first excited state of the hydrogen atom has an energy of 10.2 eV above that of the lowest state, called the ground slate. Use the Boltzmann factor to find the number of atoms in the first excited slate (a) at 0 ºC and at (b) (1.00 × 10 4 )°C.arrow_forwardIn solid helium the spacing between atoms is about 3Å . Helium contains 2 protons and 2 neutrons, so the mass of a helium atom is 6.6×10−27 kg. What is the smallest possible energy of a helium atom in solid helium? What temperature (in Kelvin) does this energy correspond with? (Boltzmann's constant is kb=1.38×10−23 J/Karrow_forwardA potential well has 4 energy levels as given here: Energy of the state (eV) 13 12 9 4 Suppose that there are three electrons in the well, and that the system is in the first excited state. If the system emits a photon, what energy could the photon have? O (a) 3 eV Ⓒ (b) 5 eV O (c) 4 eV O (d) 8 eV (e) 9 eV x X 0%arrow_forward
- Hydrogen atoms in the atmosphere of the sun can exist in different energy states. The difference between the lowest energy state (the ground state) and the second to lowest energy state (the first excited state) is about 2.5 eV. The temperature of the sun’s atmosphere is about 5800 K (so kBT = 0.5 eV). What will be the ratio of the number of atoms in the first excited state divided by the number of atoms in the ground state?arrow_forwardUse Boltzmann distribution to solve this problem.A system consists of 3, 000 particles that can only occupy two energy levels: a nondegen-erate ground state of 0.052 eV and a threefold degenerate excited state at 0.156 eV. IfT = 900 K,(a) find the number of particles at each energy level.(b) what is the total energy of the system?arrow_forwardQuantum Physicsarrow_forward
- It may be argued on theoretical grounds that the radius of the hydrogen atom should depend only on the fundamental constants h, e, the electrostatic force constant k = 1/4πℰ0, and m (the electron’s mass). Use dimensional analysis to show that the combination of these factors that yields a result with dimensions of length is h2kme2.arrow_forwardThe figure shows a model of the energy levels of an atom. The atom is initially in state W, which is the ground state for the atom. After a short amount of time, the atom then transitions to state X. The atom then transitions to state Y before transitioning to state Z. The atom then transitions back to state W. Which of the following descriptions is correct about the atom as it transitions from state W to each subsequent state until it finally returns to its original state?arrow_forwardPlease only type answerarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning