Chapter 6.3, Problem 1CYU

(a)

Interpretation Introduction

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

Concept introduction:

$\begin{array}{c}\text{Total}\text{energy}\text{of}\text{the}\text{electron}\text{in}{\text{n}}^{\text{th}}\text{level,}{\text{E}}_{\text{n}}\text{=}-\frac{\text{Rhc}}{{\text{n}}^{\text{2}}}\\ \text{where,}\text{R}\text{=}\text{Rydberg}\text{constant}\\ \text{h}\text{=}\text{Planck's}\text{constant}\\ \text{c}\text{=}\text{speed}\text{of}\text{light}\\ \text{n}\text{=}\text{Principal}\text{quantum}\text{number}\end{array}$

(b)

Interpretation Introduction

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

Concept introduction:

$\begin{array}{c}\text{Total}\text{energy}\text{of}\text{the}\text{electron}\text{in}{\text{n}}^{\text{th}}\text{level,}{\text{E}}_{\text{n}}\text{=}-\frac{\text{Rhc}}{{\text{n}}^{\text{2}}}\\ \text{where,}\text{R}\text{=}\text{Rydberg}\text{constant}\\ \text{h}\text{=}\text{Planck's}\text{constant}\\ \text{c}\text{=}\text{speed}\text{of}\text{light}\\ \text{n}\text{=}\text{Principal}\text{quantum}\text{number}\end{array}$

The energy per mole of photons is the product of energy per atom and Avogadro’s number,${\text{N}}_{\text{A}}$.