Chapter 10, Problem 10.51SP

Interpretation Introduction

Interpretation:

The sample that contains more molecules among air and ${\text{CO}}_{\text{2}}$ is to be identified.

Concept introduction:

The combination of all the gas laws namely Boyle’s law, Charles law and Avogadro’s lead to ideal gas equation that relates all the four properties such as given below:

$PV=nRT$

Where,

• $R$ is gas constant.
• $V$ denotes the volume.
• $n$ denotes number of moles.
• $T$ denotes temperature.
• $P$ denotes pressure.

The formula to determine the number of molecules from number of moles follows:

$\text{Number of Molecules}=\left(n\right)\left(6.022\times {\text{10}}^{23}\right)$

The relation between volume and number of moles that holds true as per Avogadro’s law is given as follows:

$\begin{array}{c}V\propto n\\ \frac{V}{n}\text{= constant}\end{array}$

Where,

• $n$ represents number of moles.
• $V$ represents volume.