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## Homework Statement

HERE IS THE QUESTION

A vertical cylinder fitted with a heavy leak-proof piston with diameter 84.0 mm contains air (under the piston) of density 1.59 kg/m3 in thermodynamic equilibrium with the surrounding atmosphere, which is at 100 kPa and 39 oC. Determine the mass of the piston in kg, to three significant figures. Use gravitational constant g = 9.81 m/s2.[/B]

## Homework Equations

i tried to use PV=mRT for the air in the cylinder[/B]

## The Attempt at a Solution

mg= PA

I know there is a force due the the piston and the force due to the air

F

_{PISTON}= F

_{AIR}

F

_{PISTON}= mg

F

_{AIR}THIS IS WHERE IM STUCK IM NOT SURE IF MY WHOLE LOGIC FOR THIS QUESTION IS CORRECT. YOUR HELP IS GREATLY APPRECIATED[/B]