Elements of Physical Chemistry
Elements of Physical Chemistry
7th Edition
ISBN: 9780192522764
Author: Peter Atkins; Julio de Paula
Publisher: Oxford University Press Academic UK
bartleby

Concept explainers

Question
Book Icon
Chapter 8, Problem 8.4P

(a)

Interpretation Introduction

Interpretation:

The wavelength of the next line in the given series of lines of spectrum of atomic hydrogen has to be identified.

(a)

Expert Solution
Check Mark

Explanation of Solution

All the lines in the hydrogen spectrum suits the Rydberg formula.

    1λ=RH(1n21-1n22)WhereλisthewavelengthoftheemittedphotonR is Rydberg’s constantZ is the atomic number (1 for H, 2 for He)n1 and n2 are the principal quantum numbers for the initial and final states

Find n1 from the value of  λmax, which arises from the transition of n1+1n1.

    1λmaxRH=1n21-(1n1+1)2=2n1+1n21(n1+1)2λmaxRH=n21(n1+1)22n1+1=(656.46×10-9m)×(109677×102m-1)=7.20hencen1=2,asdeterminedbytrialanderrorsubstitution.Therefore,thetransitionsaregivenas,υ=1λ=(109677cm-1)×(14-1n22)n2=3,4,5,6Nextlinehasn2=7υ=1λ=(109677cm-1)×(14-149)=397.13nm

The energy needed to ionize the atom is obtained by allowing n2

    υ=1λ=(109677cm-1)×(14-0)=27419cm-1υ=3.40ev

(b)

Interpretation Introduction

Interpretation:

The ionization energy of hydrogen atom when it is in lower state of transition has to be identified.

(b)

Expert Solution
Check Mark

Explanation of Solution

The energy needed to ionize the atom is obtained by allowing n2

    υ=1λ=(109677cm-1)×(14-0)=27419cm-11cm-1=1.2398×10-4evυ=3.40ev

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Post Lab Questions. 1) Draw the mechanism of your Diels-Alder cycloaddition. 2) Only one isomer of product is formed in the Diels-Alder cycloaddition. Why? 3) Imagine that you used isoprene as diene - in that case you don't have to worry about assigning endo vs exo. Draw the "endo" and "exo" products of the Diels-Alder reaction between isoprene and maleic anhydride, and explain why the distinction is irrelevant here. 4) This does not hold for other dienes. Draw the exo and endo products of the reaction of cyclohexadiene with maleic anhydride. Make sure you label your answers properly as endo or exo. 100 °C Xylenes ??? 5) Calculate the process mass intensity for your specific reaction (make sure to use your actual amounts of reagent).
Indicate the product(s) A, B C and D that are formed in the reaction: H + NH-NH-CH [A+B] [C+D] hydrazones
How can you prepare a 6 mL solution of 6% H2O2, if we have a bottle of 30% H2O2?
Knowledge Booster
Background pattern image
Chemistry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning
Text book image
Chemistry
Chemistry
ISBN:9781259911156
Author:Raymond Chang Dr., Jason Overby Professor
Publisher:McGraw-Hill Education
Text book image
Principles of Instrumental Analysis
Chemistry
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Cengage Learning
Text book image
Organic Chemistry
Chemistry
ISBN:9780078021558
Author:Janice Gorzynski Smith Dr.
Publisher:McGraw-Hill Education
Text book image
Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning
Text book image
Elementary Principles of Chemical Processes, Bind...
Chemistry
ISBN:9781118431221
Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:WILEY