Chapter U3.61, Problem 2E

Interpretation Introduction

Interpretation: The effect of the temperature of the atmosphere on the volume of a balloon as it rises needs to be explained.

Concept Introduction: The combined gas law is combination of three gas laws that is Boyle’s law, Charles’ law and Gay-Lussac’s law. According to this law the ratio of temperature to the product of pressure and volume is a constant.

Explanation of Solution

According to Charles’s law, at constant pressure, volume and temperature of the gas are directly proportional to each other.

This is mathematically represented as follows:

  $\frac{V_1}{T_1}=\frac{V_2}{T_2}$

Here, V₁ is initial volume, V₂ is final volume, T₁ is initial temperature and T₂ is final temperature.

This can also be represented as:

  $V\propto T$

If temperature of the weather balloon rises, volume of the balloon also rises as both temperature and volume are directly proportional to each other.