I have two identical barometers. I made sure they were calibrated to each other in the same room. Then, weeks ago, I placed one outside.
Right now, the outside one reads $30^\circ\text{F}$ and $1030\,\text{hPa}$ whereas the inside one reads $66^\circ\text{F}$ and $1020\,\text{hPa}$. These values have been in this same ballpark for hours.
Knowing that ideal gas laws involve closed systems and this one is a decidedly open one, I can't figure out how to think about what's happening here. My house is a fairly tightly built modern house, but even so there are many cracks and crevices where air pressure from the outside can seep inside or vice versa.
What is maintaining this pressure difference? I thought that maybe it was because the house is warmer, but it is closer to a closed system, and shouldn't air warm up and expand as it enters the house, thus increasing the house pressure?
My prediction is that they should have been equalized, but a pressure difference has been persistent.
Perhaps posed another way — is this consistent with the behavior of gases in general in an open system with this temperature difference, or is my house unusual (in this case, likely an appliance of some kind is driving this)?