Air is contained within a vertical piston-cylinder assembly as shown below. On its top, the 10-kg piston with a diameter of 100 mm is attached to a spring and exposed to an atmospheric pressure of 1bar. Initially, the piston head is at a position such that the spring exerts no force on it. The valve is then opened until the pressure of air is 428 kPa and the volume is 0.40 L. When the valve is further opened to let additional air in, the piston rises 2.30 cm more. Ignoring Figure Po Air friction between the piston and the cylinder wall, determine the pressure of the air within the cylinder when the piston is supply line (a) in its initial position and (b) in its final position, in atm. Note Air that the force exerted by the spring as the air expands within the cylinder varies linearly with x.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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Air is contained within a vertical piston-cylinder assembly as shown below. On its top, the 10-kg piston
with a diameter of 100 mm is attached to a spring and exposed to an atmospheric pressure of 1 bar.
Initially, the piston head is at a position such that the spring exerts no force on it. The valve is
then opened until the pressure of air is 428 kPa and the
volume is 0.40 L. When the valve is further opened to let
additional air in, the piston rises 2.30 cm more. Ignoring
Figure
Ро
Air
friction between the piston and the cylinder wall, determine
supply
line
the pressure of the air within the cylinder when the piston is
(a) in its initial position and (b) in its final position, in atm. Note
Air
that the force exerted by the spring as the air expands within
the cylinder varies linearly with x.
Transcribed Image Text:Air is contained within a vertical piston-cylinder assembly as shown below. On its top, the 10-kg piston with a diameter of 100 mm is attached to a spring and exposed to an atmospheric pressure of 1 bar. Initially, the piston head is at a position such that the spring exerts no force on it. The valve is then opened until the pressure of air is 428 kPa and the volume is 0.40 L. When the valve is further opened to let additional air in, the piston rises 2.30 cm more. Ignoring Figure Ро Air friction between the piston and the cylinder wall, determine supply line the pressure of the air within the cylinder when the piston is (a) in its initial position and (b) in its final position, in atm. Note Air that the force exerted by the spring as the air expands within the cylinder varies linearly with x.
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