You and your team have been given the task of preparing a gas piston device that is to be deployed to the bottom of the Southern Sea, beneath the Brunt Ice Shelf off the coast of Antarctica. The inner volume of the cylinder has a diameter of 9.00 cm and a length of 25.0 cm, and is fitted with a movable piston that compresses the argon (Ar) gas that it contains. Before deployment, the piston is located and held at the very top of the cylinder, providing the maximum volume for the gas. When the device is submerged, however, the piston will move inward due to the water pressure created by the depth, and the change in temperature of the gas. The device is to be taken to a depth of 350 m in salt water (density ρ = 1.03 g/cm³) at a temperature of 33.0 °F. If the maximum allowable compression distance of the piston is 13.0 cm, what is the minimum gas pressure that must be attained when the device is filled at the surface (at atmospheric pressure and T = 59.0 °F) to prevent the maximum displacement of the piston from exceeding its maximum (13.0 cm) when submerged to a depth of 350 m?