[Ocelot8096]

In this problem there are two tanks connected by a valve, one containing 6L CH4 with a pressure of 21atm and the second containing 15L CO at pressureof 7.0atm. These gases are ideal. I have to find the total pressure of the system. I know the pressures will be equal in both tanks when the gases expand, but is there a way to show this mathematically?

[Aeon]

Well, as a mathematical truth, no. But if you accept certain axioms, then you can derive a reason why this happens.

The kinetic theory of gases is what you should become familiar with.

Do you have knowledge of thermodynamics yet, or is this your first introduction to the gas laws?