Chapter 12, Problem 12.162MP

Interpretation Introduction

Interpretation:

The molecular formula for testosterone should be determined

Concept introduction:

• Empirical formula: The formula which gives the simple whole number ratio of the atoms of various elements present in one molecule of the compound is called empirical formula
• Molecular formula : The formula which gives the actual number of atoms of various elements present in one molecule of the compound is called molecular formula
• The relation between empirical formula and molecular formula is
  $\text{molecular}\text{formula=n×empirical}\text{formula}$
  
  Where, $\text{n=}\frac{\text{molar}\text{mass}}{\text{empirical}\text{formula}\text{mass}}$
• The relation between number of moles , mass and molar mass is
  
  $\begin{array}{l}\text{number}\text{of}\text{moles=}\frac{\text{given}\text{mass}}{\text{Molar}\text{mass}}\\ \text{n=}\frac{\text{m}}{\text{M}}\end{array}$
• Ideal gas equation: It is the relation between four variables and it describe the state of any gas
  
  From Boyle’s Law we get, $\text{Vα}\frac{\text{1}}{\text{P}}$
  
  

  From Charles’ Law we get, $\text{VαT}$
  
  From Avogadro’s Law we get, $\text{Vαn}$

  
  
  Combining these three laws we get
  
  $\begin{array}{l}\text{Vα}\frac{\text{nT}}{\text{P}}\\ \text{V=}\frac{\text{nRT}}{\text{P}}\\ \text{n=}\frac{\text{PV}}{\text{RT}}\\ \end{array}$