Pressure Differential

[SMatty80]

If I have two volumes with a seal in-between, both initially at atmospheric pressure and ambient temperature, will there be a pressure differential across the seal when both volumes are heated up simultaneously to the same temperature? Are the ideal gas assumptions in the example below correct in that there will not be a pressure differential across the seal? Thanks.

 

[Compositepro]

P and delta P will be the same for both volumes, although smaller masses tend to heat-up more quickly.

 

[dvd]

How does one heat these to stay at the same temperature during the heating cycle? Is the ambient surrounding environment warming up? It looks like under most circumstances that V2 will heat more quickly and thus there would be a transient pressure differential between V1 and V2.

 

[SMatty80]

Thank you for your responses! Yes the surrounding environment will be gradually heating up, so there will most likely be a small pressure differential until the two volumes reach thermal equilibrium.