Chapter 11.4, Problem 11.6WE

Interpretation Introduction

Interpretation:

The volume of the balloon when it has risen to an altitude has to be calculated.

Concept introduction:

The combined gas law is a gas law that combine Charles's law, Boyle's law, and Gay-Lussac's law. There is no official founder for this law; these laws each relate one thermodynamic variable to another mathematically while holding everything else constant.  Charles's law states that volume and temperature are directly proportional to each other as long as pressure is held constant.  Finally, Gay-Lussac's law introduces a direct proportionality between temperature and pressure as long as it is at a constant volume.

For this problem will be the combined gas law equation, which looks like this

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

Because V is constant, the above equation reduces to

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

To determine: The volume of the balloon when it has risen to an altitude