Pressure in a cylindrical vessel, vessel bursts.?

Question

Question:

A cylindrical steel pressure vessel with volume 1.30 m^3 is to be tested. The vessel is entirely filled with water, then a piston at one end of the cylinder is pushed in until the pressure inside the vessel has increased by 1000 kPa. Suddenly, a safety plug on the top bursts. How many liters of water come out? (in L)

Attempt:

I have a feeling that this deals with Bernoullis equation, however, I have no idea what to do with it. Does anyone have any ideas? Thanks

Answer 1

Nothing to do with Bernoulli. Water is used for such hydrostatic tests because it is , for all practical purposes, incompressible and therefore very safe in the event of a high pressure rupture. There will be some slight expansion of the tank as it is pressurized, depending on its volume, wall thickness and shape. The water that comes out of the relief port will be just a little more than the amount of volume displaced by the pressurizing piston - very little. It cannot be calculated here.