Which law describes the relationship between the pressure and volume of a gas, stating that the pressure of a fixed amount of gas is inversely proportional to its volume at constant temperature?

• A. Gay-Lussac's Law
• B. Avogadro's Law
• C. Charles's Law
• D. Boyle's Law

Answer: (D)

Verified step by step guidance

1. Identify the variables involved: pressure (P) and volume (V) of a gas.
2. Recall that the problem states the pressure of a fixed amount of gas is inversely proportional to its volume at constant temperature.
3. Understand that an inverse proportionality means when one variable increases, the other decreases such that their product remains constant.
4. Recognize that Boyle's Law mathematically expresses this relationship as \(P \times V = k\), where \(k\) is a constant for a given amount of gas at constant temperature.
5. Confirm that the other laws mentioned (Gay-Lussac's, Avogadro's, Charles's) describe different relationships involving temperature, volume, or amount of gas, not the inverse relationship between pressure and volume.