Answer: P1V1 = P2V2
Step-by-step explanation:
oyle's law states that for a fixed mass of an ideal gas kept at a fixed temperature, pressure and volume are inversely proportional. Mathematically, it can be expressed as:
Where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.
If the pressure is halved, the volume must double in order to satisfy the equation. This means that the temperature of the gas must increase. This is because the temperature of a gas is directly proportional to its average kinetic energy. When the pressure is halved, the molecules of the gas have less collisions with the walls of the container, which means that they have less kinetic energy. In order to conserve energy, the temperature of the gas must increase so that the molecules can have the same average kinetic energy.
Therefore, if the pressure of a gas is halved as the number of moles and the volume are held constant, the temperature of the gas will increase.