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Moseley established the concept of atomic number by

Chemistry: The Central Science | 12th Edition | ISBN: 9780321696724 | Authors: Theodore E. Brown; H. Eugene LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward ISBN: 9780321696724 27

Solution for problem 105IE Chapter 7

Chemistry: The Central Science | 12th Edition

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Chemistry: The Central Science | 12th Edition | ISBN: 9780321696724 | Authors: Theodore E. Brown; H. Eugene LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward

Chemistry: The Central Science | 12th Edition

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Problem 105IE

Problem 105IE

Moseley established the concept of atomic number by studying X rays emitted by the elements. The X rays emitted by some of the elements have the following wavelengths:

Element

Wavelength (Å)

Ne

14.610

Ca

3.358

Zn

1.435

Zr

0.786

Sn

0.491

(a) Calculate the frequency, n, of the X rays emitted by each of the elements, in Hz. (b) Plot the square root of n versus the atomic number of the element. What do you observe about the plot? (c) Explain how the plot in part (b) allowed Moseley to predict the existence of undiscovered elements. (d) Use the result from part (b) to predict the X-ray wavelength emitted by iron. (e) A particular element emits X rays with a wavelength of 0.980 Å. What element do you think it is?

Step-by-Step Solution:

Problem 105IE

Moseley established the concept of atomic number by studying X rays emitted by the elements. The X rays emitted by some of the elements have the following wavelengths:

(a) Calculate the frequency, n, of the X rays emitted by each of the elements, in Hz. (b) Plot the square root of n versus the atomic number of the element. What do you observe about the plot? (c) Explain how the plot in part (b) allowed Moseley to predict the existence of undiscovered elements. (d) Use the result from part (b) to predict the X-ray wavelength emitted by iron. (e) A particular element emits X rays with a wavelength of 0.980 Å. What element do you think it is?

        

                                                               Step by Step Solution

Step 1 of 5

a)

Let’s calculate the frequency emitted by the element in “Hz”.

For Neon:

                                                        ...........................(1)

v  = Frequency of light

c  = Velocity of light

 = Wavelength.

From the given,

Wavelength of Neon =

Velocity of light =  

Substitute the values in the equation (1)

                                           

Therefore, the frequency emitted by the element neon is .

For Calcium:

From the given,

Wavelength of Calcium =

Velocity of light =  

Substitute the values in the equation (1)

                                       

Therefore, the frequency emitted by the element calcium is .

For Zinc:

From the given,

Wavelength of Zinc =

Velocity of light =  

Substitute the values in the equation (1)

                                                 

Therefore, the frequency emitted by the element zinc is .

For Zirconium:

From the given,

Wavelength of Zirconium =

Velocity of light =  

Substitute the values in the equation (1)

                                               

Therefore, the frequency emitted by the element Zirconium is .

For Stannum:

From the given,

Wavelength of stannum =

Velocity of light =  

Substitute the values in the equation (1)

                                         

Therefore, the frequency emitted by the element stannum is .

_________________________________________________________________________

Step 2 of 5

Chapter 7, Problem 105IE is Solved
Step 3 of 5

Textbook: Chemistry: The Central Science
Edition: 12
Author: Theodore E. Brown; H. Eugene LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward
ISBN: 9780321696724

This textbook survival guide was created for the textbook: Chemistry: The Central Science, edition: 12. The answer to “Moseley established the concept of atomic number by studying X rays emitted by the elements. The X rays emitted by some of the elements have the following wavelengths:ElementWavelength (Å)Ne14.610Ca3.358Zn1.435Zr0.786Sn0.491(a) Calculate the frequency, n, of the X rays emitted by each of the elements, in Hz. (b) Plot the square root of n versus the atomic number of the element. What do you observe about the plot? (c) Explain how the plot in part (b) allowed Moseley to predict the existence of undiscovered elements. (d) Use the result from part (b) to predict the X-ray wavelength emitted by iron. (e) A particular element emits X rays with a wavelength of 0.980 Å. What element do you think it is?” is broken down into a number of easy to follow steps, and 118 words. The full step-by-step solution to problem: 105IE from chapter: 7 was answered by , our top Chemistry solution expert on 04/03/17, 07:58AM. Chemistry: The Central Science was written by and is associated to the ISBN: 9780321696724. Since the solution to 105IE from 7 chapter was answered, more than 1280 students have viewed the full step-by-step answer. This full solution covers the following key subjects: elements, element, Rays, emitted, wavelength. This expansive textbook survival guide covers 49 chapters, and 5471 solutions.

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