According to the ideal gas law, which of the following factors directly determines the volume of a gas, assuming the amount of gas is constant?

• A. Color and odor
• B. Density and viscosity
• C. Solubility and boiling point
• D. Pressure and temperature

Answer: (D)

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 amount of gas in moles, \(R\) is the ideal gas constant, and \(T\) is temperature in Kelvin.
2. Since the problem states that the amount of gas (\(n\)) is constant, and \(R\) is always constant, the relationship simplifies to \(P \times V = \text{constant} \times T\).
3. Rearrange the ideal gas law to solve for volume: \(V = \frac{n \times R \times T}{P}\), showing that volume depends directly on temperature (\(T\)) and inversely on pressure (\(P\)).
4. Understand that properties like color, odor, density, viscosity, solubility, and boiling point are not variables in the ideal gas law and do not directly affect the volume of an ideal gas under these conditions.
5. Therefore, the volume of a gas at constant amount is directly determined by its pressure and temperature, as indicated by the ideal gas law.