Chapter 6.3, Problem 6.3CYU

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# Calculate the energy of the n = 3 state of the H atom in (a) joules per atom and (b) kilo-joules per mole.

(a)

Interpretation Introduction

Interpretation: The energy state of H when n=3 in J/atom has to be calculated.

Concept introduction:

Totalenergyoftheelectroninnthlevel,En=Rhcn2where,R=Rydbergconstanth=Planck'sconstantc=speedoflightn=Principalquantumnumber

Explanation

The energy state of H when nâ€‰=â€‰3 in â€‰J/atom is calculated below.

Given,

Â Â Râ€‰=â€‰1.097â€‰Ã—â€‰107â€‰mâ€‰âˆ’1hâ€‰=â€‰6.626â€‰Ã—â€‰10â€‰-34â€‰J.scâ€‰=â€‰2.998â€‰Ã—â€‰10â€‰8â€‰m/snâ€‰=â€‰3

The energy state of H when nâ€‰=â€‰3 in â€‰J/atom is calculated below by the equation

Â Â E3â€‰=â€‰âˆ’Rhcn2

Substituting the values

â€‚Â E3â€‰=â€‰=â€‰â€‰âˆ’1

(b)

Interpretation Introduction

Interpretation: The energy state of H when n=3 in kJ/mol has to be calculated.

Concept introduction:

Totalenergyoftheelectroninnthlevel,En=Rhcn2where,R=Rydbergconstanth=Planck'sconstantc=speedoflightn=Principalquantumnumber

The energy per mole of photons is the product of energy per atom and Avogadro’s number,NA.

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