Air is contained in a piston-cylinder system in mechanical equilibrium. The atmo

Question

Air is contained in a piston-cylinder system in mechanical equilibrium. The atmosphere exerts a pressure of 95 kPa on the 0.1-m-diameter piston. The gage pressure inside the cylinder is measured to be 10 kPa (state 1). A weight is then place on top of the piston and the gas is compressed. The gage pressure inside the cylinder is now measured to be 25 kPa (state 2). The experiment is performed at an elevation where the acceleration due to gravity is 2 9.7 / m s .

Determine the mass (kg) of the piston and of the weight that is placed on the piston.

Explanation / Answer

For equilibrium

state A )

Pgauge * A = mpiston* g

substituting given values

mpiston= 8.0968 kg

state B )

Pgauge * A = (mpiston +M )g

substituting values we get

M = 12.145 kg

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