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A 25-kg piston is above a gas in a long vertical cylinder.
Chapter 3, Problem 45HP(choose chapter or problem)
Problem 45HP
A 25-kg piston is above a gas in a long vertical cylinder. Now the piston is released from rest and accelerates up in the cylinder, reaching the end 5 m higher at a velocity of 25 m/s. The gas pressure drops during the process, so the average is 600 kPa with an outside atmosphere at 100 kPa. Neglect the change in gas kinetic and potential energy and find the needed change in the gas volume.
Questions & Answers
QUESTION:
Problem 45HP
A 25-kg piston is above a gas in a long vertical cylinder. Now the piston is released from rest and accelerates up in the cylinder, reaching the end 5 m higher at a velocity of 25 m/s. The gas pressure drops during the process, so the average is 600 kPa with an outside atmosphere at 100 kPa. Neglect the change in gas kinetic and potential energy and find the needed change in the gas volume.
ANSWER:
Solution 45 HP
Step 1 of 3
We have to find the needed change in the gas volume.
The change in the gas volume can be found using WorkEnergy theorem.
The WorkEnergy theorem states that the net work done is equal to change in the total energy of the piston.
where,
work done by the gas in J
work done by the atmosphere in J
change in the total energy of the
piston in J