The
combined gas law relates the volume, temperature, and pressure of a gas. It is a combination of Boyle’s law, Charles’s law, and Gay-Lussac’s law. Boyle’s law states that for a fixed amount of an ideal gas kept at a fixed temperature, pressure and volume are inversely proportional. Charles’s law states that for a fixed amount of an ideal gas kept at a fixed pressure, volume and temperature are directly proportional. Gay-Lussac’s law states that for a fixed amount of an ideal gas kept at a fixed volume, pressure and temperature are directly proportional.The combined gas law can be expressed as follows:
$$\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}$$
where $P_1$ is the initial pressure, $V_1$ is the initial volume, $T_1$ is the initial temperature, $P_2$ is the final pressure, and $V_2$ is the final volume.
The combined gas law can be used to solve for any of the three variables, given the other two. For example, if you know the initial pressure, volume, and temperature, and you want to find the final pressure, you can use the following equation:
$$P_2 = \frac{P_1V_1T_2}{V_2T_1}$$
The combined gas law is a useful tool for calculating the changes in the volume, temperature, or pressure of a gas. It is also useful for understanding the behavior of gases in different situations.