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According to Boyle's law, what relationship exists between pressure and volume of a gas?

  1. Pressure is directly proportional to volume

  2. Pressure is inversely proportional to volume

  3. Pressure equals volume

  4. Volume equals temperature

The correct answer is: Pressure is inversely proportional to volume

Boyle's law states that at constant temperature, the pressure of a given mass of gas is inversely proportional to its volume. This means that when the volume of a gas decreases, the pressure increases, and conversely, when the volume increases, the pressure decreases. This relationship can be mathematically expressed as \( P \times V = k \), where \( P \) is pressure, \( V \) is volume, and \( k \) is a constant for a given amount of gas at a constant temperature. Thus, if one variable increases, the other must decrease to maintain the equality, demonstrating their inverse relationship. This principle is crucial in understanding how gases behave under different conditions, making it an essential concept in both nursing and general healthcare applications.