   Chapter 6.3, Problem 6.3CYU

Chapter
Section
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 n=3 in J/atom is calculated below.

Given,

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

The energy state of H when n=3 in J/atom is calculated below by the equation

E3=Rhcn2

Substituting the values

E3==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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