# How much force is required to compress air?

How much force (Newtons) is required to compress normal air in a chamber to 2 atm? For example, if I had a sealed piston pump, how much force would need to be exerted in order for the air to be compressed to 2 atm?

Also, a side note, if I were to compress air from 1 atm to 2 atm, would this have the total volume?

• The force is not a critical physical quantity in this process. You could use even a tiny force if you have the right machine to amplify it. It depends a lot on how and how fast you do the compression. Mar 28 '14 at 7:51
• Even ignoring amplification, pressure is a force per area. The area is totally unspecified here. Mar 28 '14 at 9:54
• Sorry, not a physicist, just curious about the process. As Ruben said, is the the area you mention the surface area in the chamber? Mar 28 '14 at 17:03

The state from $1\text{ atm}$ to $2\text{ atm}$ is normally called decompression or contraction. An equation you can use going from one state to the next is: $$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$$ Where $P$ is pressure, $V$ is volume and $T$ is temperature. Now if you want to calculate the force you have to know the surface area of what you are (de)compressing. The equation relating force and pressure is: $P=F/A$, where $A$ is surface area.