Chapter 10, Problem 124AP

Interpretation Introduction

Interpretation:

The distance between the molecules of water is to be estimated with given density of water, pressure, and temperature.

Concept Introduction:

The ideal gas equation elaborates the physical properties of gases by relating the pressure, volume, temperature, and number of moles with each other with the help of four gas laws. This can be shown by

$P=R\frac{nT}{V}.$

Here, P is the pressure, R is the gas constant, n is the number of moles of gas, T is the temperature, and V is the volume.

An ideal gas molecule does not have volume, but a real gas molecule has volume.

The number of moles of compound can be calculated as:

$\text{Molar mass}=\frac{\text{mass}}{\text{moles}}\text{. }$

The conversion of temperature from degree Celsius to Kelvin can be done by using the formula given below:

$T\left(\text{in K}\right)=T\left(\text{in }°\text{C}\right)+\mathrm{273.15.}$

The relationship between number of moles and number of molecules is expressed as $\text{1}\text{mol}\text{=}\text{6}\text{.022}\times {\text{10}}^{23}\text{ molecules}\text{.}$

To convert $\text{mol}/\text{L}$ tomolecules per meter cube, conversion factor is $\frac{\text{6}\text{.022}\times {\text{10}}^{23}\text{ molecules}}{{10}^{-3}{\text{ m}}^3}$