In theory the psi to open the thief hatch is [weight of lid (lb)/lid area (in2)].
The hinge offers additional resistance to opening.
The hinge force is hard to predict due to friction & rust.
There are also possible spring forces depending on the model.
Any resulting flow through the device must be reduced by 50% (per OSHA) because it has no vendor calibration.
Using a thief hatch to "officially" protect a tank from overpresssure is highly questionable.
As an engineering professional my recommendation is to put aside this activity.