Which of the following factors directly affect the behavior of the gas inside a hot air balloon according to the ideal gas law?

• A. Altitude and wind speed only
• B. Temperature, pressure, and volume of the gas
• C. Color and shape of the balloon
• D. Type of fabric used for the balloon

Answer: (B)

Verified step by step guidance

1. Recall the ideal gas law, which is expressed as \(P \times V = n \times R \times T\), where \(P\) is pressure, \(V\) is volume, \(n\) is the number of moles of gas, \(R\) is the ideal gas constant, and \(T\) is temperature.
2. Understand that the behavior of a gas (such as inside a hot air balloon) depends directly on the variables in the ideal gas law: pressure (\(P\)), volume (\(V\)), and temperature (\(T\)).
3. Recognize that factors like altitude and wind speed do not directly appear in the ideal gas law equation, although altitude can indirectly affect pressure and temperature.
4. Note that the color and shape of the balloon, as well as the type of fabric, do not directly influence the gas behavior according to the ideal gas law, as these are physical properties of the balloon material, not the gas itself.
5. Therefore, the correct factors that directly affect the gas behavior inside the balloon are temperature, pressure, and volume, as these are the variables in the ideal gas law.