Chapter 7, Problem 7.17EP

Interpretation Introduction

Interpretation:

A new pressure in atmosphere units for a sample of $\text{ 6}{\text{.0 L of O}}_2\text{at}3.\text{0 atm}$ pressure is compressed until the volume of decreases to $\text{2}\text{.5}\text{L}$ at constant pressure has to be determined.

Concept Introduction:

Boyle’s law tells that the volume of a fixed amount of a gas is inversely proportional to the pressure that applied to the gas at constant temperature .  It means that if the pressure on the gas increases then the volume of the gas decreases proportionally and vice versa.

The mathematical expression for Boyle’s law at constant temperature and amount of gas can be represented as follows,

$\begin{array}{l}{\text{P}}_{\text{1}}\text{x}{\text{V}}_1\text{=}{\text{ P}}_2{\text{xV}}_2\\ Where,\\ {\text{P}}_{\text{1}},{\text{V}}_{1}areinitialpressureandvolumeofagas\\ {\text{P}}_2,{\text{V}}_{2}areafterinitialpressureandvolumeofagas\end{array}$