BuyFindarrow_forward

Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

Solutions

Chapter
Section
BuyFindarrow_forward

Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 6, Problem 21PS
Textbook Problem
15 views

Calculate the wavelength and frequency of light emitted when an electron changes from n = 3 to n = 1 in the H atom. In what region of the spectrum is this radiation found?

Interpretation Introduction

Interpretation: The frequency and wavelength of light emitted by transition of electron and the region which it belongs is to be calculated.

Concept introduction:

  • Energy between two states is,

    EnergybetweenthestatesΔE=EfinalEinitial=Rhc(1nfinal21ninitial2)where,R=Rydbergconstanth=Planck'sconstantc=speedoflightn=Principalquantumnumber

  • Planck’s equation,

    E=where, ν=frequency

The energy increases as the wavelength of the light decreases.

  • The frequency of the light is inversely proportional to its wavelength.

  ν=cλwhere, c=speedoflightν=frequencyλ=wavelength

  • Electromagnetic radiations are a type of energy surrounding us. They are of different types like radio waves, IR, UV, X-ray etc.
  • The wavelength of ultraviolet region lies in the region between 100nm and 400nm

Explanation of Solution

The frequency and wavelength of light emitted by transition of electron is calculated.

Given,

The transition of electron is from n=3 to n=1

  R=1.097×107m1h=6.626×10-34J.sc=2.998×108m/sninitial=3nfinal=1

  • The energy per photon of light emitted by transition is calculated by using the equation,

EnergybetweenthestatesΔE=EfinalEinitial=Rhc(1nfinal21ninitial2)

Substituting the values

  ΔE=1.097×107m1×6.626×1034J.s×2.998×108m/s(112132)=1.93703×1018J/photon

The energy of photon emission does not have any sign and absolute value is taken as the energy

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Chapter 6 Solutions

Chemistry & Chemical Reactivity
Show all chapter solutions
add
Ch. 6.4 - Calculate the wavelength associated with a neutron...Ch. 6.4 - 1. The wavelength associated with an electron...Ch. 6.5 - 1. What label is given to an orbital with quantum...Ch. 6.5 - 2. How many orbitals are in the n = 4...Ch. 6.5 - 3. Which quantum number, or combination of quantum...Ch. 6.6 - 1. Which of the following is not a correct...Ch. 6.6 - Which of the following sets of quantum numbers...Ch. 6.6 - How many nodal planes exist for a 5d orbital? (a)...Ch. 6.7 - Which of the following is a valid set of quantum...Ch. 6 - Answer the following questions based on Figure...Ch. 6 - Consider the colors of the visible spectrum. (a)...Ch. 6 - Traffic signals are often now made of LEDs...Ch. 6 - Suppose you are standing 225 m from a radio...Ch. 6 - Green light has a wavelength of 5.0 102 nm. What...Ch. 6 - Violet light has wavelength of about 410 nm. What...Ch. 6 - The most prominent line in the emission spectrum...Ch. 6 - The most prominent line in the emission spectrum...Ch. 6 - Place the following types of radiation in order of...Ch. 6 - Place the following types of radiation in order of...Ch. 6 - An energy of 3.3 1019 J/atom is required to cause...Ch. 6 - You are an engineer designing a switch that works...Ch. 6 - The most prominent line in the spectrum of mercury...Ch. 6 - The most prominent line in the spectrum of neon is...Ch. 6 - A line in the Balmer series of emission lines of...Ch. 6 - What are the wavelength and frequency of the...Ch. 6 - Consider only transitions involving the n = 1...Ch. 6 - Consider only transitions involving the n = 1...Ch. 6 - The energy emitted when an electron moves from a...Ch. 6 - If energy is absorbed by a hydrogen atom in its...Ch. 6 - Calculate the wavelength and frequency of light...Ch. 6 - Calculate the wavelength and frequency of light...Ch. 6 - An electron moves with a velocity of 2.5 X 108...Ch. 6 - A beam of electrons (m = 9.11 X 1031 kg/electron)...Ch. 6 - Calculate the wavelength, in nanometers,...Ch. 6 - A rifle bullet (mass = 1.50 g) has a velocity of...Ch. 6 - (a) When n = 4, what are the possible values of ?...Ch. 6 - (a) When n = 4, = 2, and m = 1, to what orbital...Ch. 6 - A possible excited state of the H atom has the...Ch. 6 - A possible excited state for the H atom has an...Ch. 6 - How many subshells occur in the electron shell...Ch. 6 - How many subshells occur in the electron shell...Ch. 6 - Explain briefly why each of the following is not a...Ch. 6 - Which of the following represent valid sets of...Ch. 6 - What is the maximum number of orbitals that can be...Ch. 6 - What is the maximum number of orbitals that can be...Ch. 6 - Explain briefly why each of the following is not a...Ch. 6 - Explain briefly why each of the following is not a...Ch. 6 - State which of the following orbitals cannot exist...Ch. 6 - State which of the following orbitals cannot exist...Ch. 6 - Write a complete set of quantum numbers (n, , m)...Ch. 6 - Write a complete set of quantum numbers (n, , and...Ch. 6 - A particular orbital has n = 4 and = 2. What must...Ch. 6 - A given orbital has a magnetic quantum number of m...Ch. 6 - How many nodal surfaces through the nucleus...Ch. 6 - How many nodal surfaces through the nucleus...Ch. 6 - Which of the following are applicable when...Ch. 6 - In what region of the electromagnetic spectrum for...Ch. 6 - Give the number of nodal surfaces through the...Ch. 6 - What is the maximum number of s orbitals found in...Ch. 6 - Match the values of l shown in the table with...Ch. 6 - Sketch a picture of the 90% boundary surface of an...Ch. 6 - Complete the following table.Ch. 6 - Excited H atoms have many emission lines. One...Ch. 6 - An advertising sign gives off red light and green...Ch. 6 - Radiation in the ultraviolet region of the...Ch. 6 - A cell phone sends signals at about 850 MHz (where...Ch. 6 - Assume your eyes receive a signal consisting of...Ch. 6 - If sufficient energy is absorbed by an atom, an...Ch. 6 - Suppose hydrogen atoms absorb energy so that...Ch. 6 - Rank the following orbitals in the H atom in order...Ch. 6 - How many orbitals correspond to each of the...Ch. 6 - Cobalt-60 is a radioactive isotope used in...Ch. 6 - Exposure to high doses of microwaves can cause...Ch. 6 - When the Sojourner spacecraft landed on Mars in...Ch. 6 - The most prominent line in the emission spectrum...Ch. 6 - Answer the following questions as a summary quiz...Ch. 6 - Answer the following questions as a summary quiz...Ch. 6 - For an electron in a hydrogen atom, calculate the...Ch. 6 - A solution of KMnO4 absorbs light at 540 nm (page...Ch. 6 - A large pickle is attached to two electrodes,...Ch. 6 - The spectrum shown here is for aspirin. The...Ch. 6 - The infrared spectrum for methanol. CH3OH, is...Ch. 6 - Bohr pictured the electrons of the atom as being...Ch. 6 - Light is given off by a sodium- or...Ch. 6 - How do we interpret the physical meaning of the...Ch. 6 - What does wave-particle duality mean? What are its...Ch. 6 - In principle, which of the following can he...Ch. 6 - Suppose you live in a different universe where a...Ch. 6 - A photon with a wavelength of 93.8 nm strikes a...Ch. 6 - Explain why you could or could not measure the...Ch. 6 - The radioactive element technetium is not found...

Additional Science Textbook Solutions

Find more solutions based on key concepts
Show solutions add
Blood carries nutrients absorbed from food a. from the intestine to the liver. b. from the lungs to the extremi...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

3.30 Define the term spectator ion.

Chemistry for Engineering Students

Why is there a mass-luminosity relation?

Horizons: Exploring the Universe (MindTap Course List)

State the relationship between vitamins and enzyme activity.

Chemistry for Today: General, Organic, and Biochemistry

How does heat move from the inner Earth to the surface?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin

A refrigerator has 18.0 kJ of work clone on it while 115kJ of energy is transferred from inside its interior. W...

Physics for Scientists and Engineers, Technology Update (No access codes included)