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

where $g$ is the acceleration of gravity and the other pertinent values are shown in the drawing. $($Note: Pressure is force per area, and the abbreviation $$ on the values of the pressure represents $l\frac{b_f}{i}{n}^2.)$ For these values, how much mass $(l{b}_m)$ can the piston have and be supported by these pressures?