Chapter 10, Problem 38QP

Interpretation Introduction

Interpretation:

The final volume of the balloon in the stratosphere is to be calculated.

Concept Introduction:

The combined gas law is the combination of three gas laws, which are Boyle’s law, Charles’s law, and Avogadro’s law.

Boyle’s states that at constant temperature, pressure of an ideal gas is inversely proportional to the volume of gas. Charle’s law states that at constant pressure, volume of an ideal gas is directly proportional to the temperature. Avagadro’s law states that at constant temperature and pressure, volume of an ideal gas is directly proportional to the number of moles of gas.

The combined gas law forms the relationship between pressure, volume, temperature, and number of moles. This can be shown by:

$\frac{P_1{V}_1}{T_1{n}_1}=\frac{P_2{V}_2}{T_2{n}_2}.$

Here, $P_1$ is the initial pressure, $P_2$ is the final pressure, $V_1$ is the initial volume, $V_2$ is the final volume, $T_1$ is the initial temperature, $T_2$ is the final temperature, $n_1$ is the initial number of moles, and $n_2$ is the final number of moles.