A piston is movable (up and down) inside a vertical cylinder as shown below. The pressure beneath the piston is greater than the pressure on top of the piston, and this difference in pressure can support the mass (and weight) of the piston according to the equation (Pressure_under − Pressure_over) Area_{piston cross sect.} = (mass_piston) g where g is the acceleration of gravity and the other pertinent values are shown in the drawing. (Pressure is force per area, and the abbreviation psi on the values of the pressure represents lbƒ/in².) For these values, how much mass (lbm) can the piston have and be supported by these pressures?

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Cylinder Piston Pressure-14.7 psi Area=.074 ft² Pressure-58.6 psi