## Piston leaves the bottom stops , Mechanical Engineering

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Consider the frictionless piston-cylinder set-up with a linear spring as is shown below. The cylinder has an internal cross-sectional area of AC = 0.1 m2. Distances  y1 and  y4 are 0.005 m and 0.6 m respectively.  The mass of the piston
is mp = 80 kg and the environmental pressure is P0 = 100 kPa. Assume  g = 10 m/s2. Initially the
set-up contains saturated liquid water at T1 = 30ºC.  950 kJ of heat (1Q5) is now added until the piston is finally forced onto the upper stops.  In total, 60 kJ/kg of specific work (1w5) was done.  The following states are of interest:

State 1: Initial state as is shown
State 2: Piston leaves the bottom stops
State 3: Piston gets into contact with the spring
State 4: Piston gets into contact with the upper
stops, Pressure is 1 MPa.
State 5: Final state.

Calculate the following:
a)  P1
b)  P2
c)  y3
d)  T5.

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