Which of the following equations represents Boyle's Law?

Boyle's Law describes the relationship between the pressure and volume of a gas at constant temperature. According to Boyle's Law, the pressure of a gas decreases as its volume increases, and vice versa, provided the temperature remains constant. The equation P1V1 = P2V2 accurately represents this principle, where P1 and V1 are the initial pressure and volume of the gas, and P2 and V2 are the final pressure and volume after a change has occurred.

The relationship can be understood by recognizing that when a gas is compressed (decreasing its volume), its particles are forced closer together which increases the collision frequency with the walls of the container, resulting in an increase in pressure. Conversely, if the volume expands, the gas particles spread out, reducing the pressure.

This represents a fundamental aspect of gases in physical chemistry and physics, making P1V1 = P2V2 the correct expression for Boyle's Law. Other equations listed correspond to different laws or concepts; for example, the equation for one of the other options represents Charles's Law, which involves temperature and volume, while the ideal gas law relates pressure, volume, temperature, and the number of moles of gas. The equation for mass/volume indicates density