/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 42 What is the maximum possible v... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 28: Problem 42

What is the maximum possible value of the angular momentum for an outer electron in the ground state of a bromine atom?

Short Answer

Expert verified
Answer: The maximum possible value of the angular momentum for an outer electron in the ground state of a bromine atom is approximately 1.491964608 脳 10鈦宦斥伌 Js.

Step by step solution

01

Find the ground state electron configuration of Bromine

Bromine has an atomic number of 35, meaning it has 35 electrons. The ground state electron configuration can be determined using the periodic table and the aufbau principle. For bromine, it is: 1s虏 2s虏 2p鈦� 3s虏 3p鈦� 4s虏 3d鹿鈦� 4p鈦�
02

Identify the outer electron's quantum numbers

The outer electron is the one with the highest value of the principal quantum number (n). In the case of bromine, the outer electron is in the 4p orbital, which also has the highest energy level. The 4p orbital has the following quantum numbers: n=4, l=1, and ml can vary from -1 to 1.
03

Calculate the maximum possible angular momentum

The maximum possible value of the angular momentum (L) can be calculated using the formula: L = \sqrt{l (l +1)} \hbar Where l is the azimuthal quantum number, and \hbar is the reduced Planck constant (approximately 1.054571817 脳 10鈦宦斥伌 Js). For the outer electron of a bromine atom, the maximum value of l is 1 (given by the 4p orbital).
04

Plug the value of l into the formula and find the maximum angular momentum

Now we can plug the maximum value of l (1) into the formula for angular momentum: L = \sqrt{1(1 + 1)} \hbar L = \sqrt{2} \hbar Thus, the maximum possible value of the angular momentum of the outer electron in the ground state of a bromine atom is sqrt(2) times the reduced Planck constant, which is approximately 1.491964608 脳 10鈦宦斥伌 Js.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A free neutron (that is, a neutron on its own rather than in a nucleus) is not a stable particle. Its average lifetime is 15 min, after which it decays into a proton, an electron, and an antineutrino. Use the energy-time uncertainty principle \([\mathrm{Eq} .(28-3)]\) and the relationship between mass and rest energy to estimate the inherent uncertainty in the mass of a free neutron. Compare with the average neutron mass of \(1.67 \times 10^{-27} \mathrm{kg} .\) (Although the uncertainty in the neutron's mass is far too small to be measured, unstable particles with extremely short lifetimes have marked variation in their measured masses.)
The particle in a box model is often used to make rough estimates of ground- state energies. Suppose that you have a neutron confined to a one-dimensional box of length equal to a nuclear diameter (say \(10^{-14} \mathrm{m}\) ). What is the ground-state energy of the confined neutron?
What is the minimum kinetic energy of an electron confined to a region the size of an atomic nucleus \((1.0 \mathrm{fm}) ?\)
A beam of electrons passes through a single slit \(40.0 \mathrm{nm}\) wide. The width of the central fringe of a diffraction pattern formed on a screen $1.0 \mathrm{m}\( away is \)6.2 \mathrm{cm} .$ What is the kinetic energy of the electrons passing through the slit?

Suppose the electron in a hydrogen atom is modeled as an electron in a one- dimensional box of length equal to the Bohr diameter, \(2 a_{0} .\) What would be the ground-state energy of this "atom"? How does this compare with the actual ground-state energy?
See all solutions

Recommended explanations on Physics Textbooks

Fluids

Read Explanation

Space Physics

Read Explanation

Fields in Physics

Read Explanation

Scientific Method Physics

Read Explanation

Torque and Rotational Motion

Read Explanation

Measurements

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.