Concept explainers
Determine the value of
Interpretation:
The value of
Concept introduction:
Rydberg equation is used to represent the wavenumber or wavelength of the lines present in the atomic spectrum of an element. The Rydberg constant is calculated by the expression shown below.
Answer to Problem 15.4E
The values of
Explanation of Solution
The mass of deuterium nuclei is
The Rydberg constant is calculated by the expression given below.
Where,
•
•
•
•
•
The reduced mass is calculated by the expression given below.
Where,
•
•
•
The value of
Substitute the values of
The value of
The value of
The value of
Substitute the values of
The units of Rydberg constant can be represented in
The value of Rydberg constant is
Substitute the values of
The value of
The value of
The value of
Substitute the values of
The units of Rydberg constant can be represented in
The value of Rydberg constant is
The Rydberg constant for hydrogen using the reduced mass is
The percentage difference is calculated by the ratio of the difference between the two Rydberg constants to Rydberg constant of hydrogen.
The calculation of percentage difference between Rydberg constant for deuterium and hydrogen is shown below.
Substitute the values of Rydberg constant of hydrogen and Rydberg constant of deuterium in the above formula.
The percentage difference between the Rydberg constant of hydrogen and Rydberg constant of deuterium is
The calculation of percentage difference between the Rydberg constant for tritium and hydrogen is shown below.
Substitute the values of Rydberg constant of hydrogen and Rydberg constant of tritium in the above formula.
The percentage difference between the Rydberg constant of hydrogen and Rydberg constant of tritium is
The values of
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Chapter 15 Solutions
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