Chapter 8.8, Problem 8.13P

Interpretation Introduction

Interpretation:

The volume of a balloon filled with helium at an altitude where the pressure is $\text{480}\text{mm}\text{Hg}$ and temperature is $\text{-}\text{32°C}$ should be determined if the initial volume and temperature are $\text{275}\text{L}\text{and}\text{22°C}$

Concept Introduction:

Different laws have been put forward to introduce properties of gases:

Boyle’s law:

At fixed temperature, the volume of a fixed amount of gas is inversely proportional to the pressure exerted by the gas.

$\text{P}\propto \frac{\text{1}}{\text{V}}\left(\text{n}\text{,}\text{T}\text{will}\text{be}\text{constant}\right)$

Charles law: States that volume is directly proportional to temperature when the gas is held

at constant pressure and number of molecules.

$\text{V}\propto \text{T}$

General Gas Law: Combining Charles’s law and Boyle’s law we get the General gas law or Combined gas law.

$\frac{{\text{P}}_{\text{1}}{\text{V}}_{\text{1}}}{{\text{T}}_{\text{1}}}\text{=}\frac{{\text{P}}_{\text{2}}{\text{V}}_{\text{2}}}{{\text{T}}_{\text{2}}}$