If the pressure acting on a gas is reduced, what will happen to the volume at a constant temperature?

Understanding the Relationship Between Pressure and Volume

When the pressure acting on a gas is reduced at a constant temperature, we can refer to Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume when the temperature is held constant. This relationship can be mathematically expressed as:

$P_1 V_1 = P_2 V_2$

Where:

• $P_1$ is the initial pressure,
• $V_1$ is the initial volume,
• $P_2$ is the final pressure, and
• $V_2$ is the final volume.

Effect of Pressure Reduction

1. If $P_2 < P_1$ (the pressure is reduced), according to Boyle's Law, it follows that $V_2 > V_1$ (the volume will increase).
2. This means that if the pressure acting on the gas decreases while maintaining a constant temperature, the volume of the gas will increase.

Final Answer

In summary, if the pressure acting on a gas is reduced at constant temperature, the volume of the gas will increase.