Chapter 11, Problem 52E

Interpretation Introduction

Interpretation:

The volume of the balloon at given altitude is to be calculated.

Concept Introduction:

Combined gas law, also called general gas equation, combines Boyle’s Law and Charles’s Law. It states that the ratio of the pressure-volume product and the absolute temperature of a gas is equal to a constant.

$\frac{\text{P1V1}}{\text{T1}}=\frac{\text{P2V2}}{\text{T2}}$

Here, ${\text{P}}_1$ and ${\text{P}}_2$ are the initial and final pressures of the ideal gas, ${\text{V}}_1$ and ${\text{V}}_2$ are the initial and the final volumes of the gas, and ${\text{T}}_1$, ${\text{T}}_2$ are the initial and final temperatures of the ideal gas.

Converting degree Celsius to Kelvin by adding $273\text{K}$, the conversion factor is as:

$\text{T}=°\text{C}\text{+ 273}\text{K}$