Boyle's Law can be expressed with which equation?

Boyle's Law describes the inverse relationship between the pressure and volume of a gas at constant temperature. This law states that if the temperature remains unchanged, the product of the pressure and volume of a gas is a constant. This can be mathematically represented with the equation ( p_1v_1 = p_2v_2 ), where ( p_1 ) and ( v_1 ) represent the initial pressure and volume, and ( p_2 ) and ( v_2 ) represent the final pressure and volume after a change occurs.

Since Boyle's Law deals specifically with pressure and volume under constant temperature, the equation captures the essence of this relationship: as the volume decreases, the pressure increases, and vice versa, provided the temperature is held steady. The relationship confirms that the product of pressure and volume before and after a change is constant, which is the cornerstone of Boyle's Law.

The other equations provided pertain to different gas laws or concepts. The ideal gas law, ( PV = nRT ), relates pressure, volume, and temperature with the amount of gas present but does not focus solely on the relationship between pressure and volume. The equation ( p_1v_1 + p_