Cylinder with moving piston as air moves in spring contracts

Click For Summary
SUMMARY

The discussion focuses on a horizontal cylinder with a piston and spring mechanism, where air is introduced, causing the spring to contract and increase the cylinder's volume. Key parameters include a piston diameter of 10 cm, a spring constant of 80 kN/m, an initial volume of 1 L, an initial pressure of 150 kPa, a final volume of 1.5 L, and a final temperature of 80°C. To find the final pressure and mass of the air, the equations F = kx, F = P/A, PV = nRT, and Pv = RT are utilized. The final pressure is calculated from the spring force at the extension, and the mass is derived using the ideal gas law PV = nRT.

PREREQUISITES
  • Understanding of the ideal gas law (PV = nRT)
  • Knowledge of spring mechanics (F = kx)
  • Familiarity with pressure calculations (F = P/A)
  • Basic thermodynamics concepts (relationship between pressure, volume, and temperature)
NEXT STEPS
  • Study the application of the ideal gas law in varying conditions
  • Learn about spring dynamics and energy storage
  • Explore pressure-volume work in thermodynamic systems
  • Investigate the relationship between temperature and gas behavior in closed systems
USEFUL FOR

Students and professionals in mechanical engineering, thermodynamics, and physics, particularly those interested in gas laws and spring mechanics.

jmets13
Messages
1
Reaction score
0
I have a question with a horizontal cylinder with a piston attached to a spring inside the cylinder. air is then let into the cylinder and the spring contracts increasing the volume. the diameter of the piston is given (10cm), the spring force is given (80KN/m), the initial volume is given (1L) and the initial pressure is 150kPa. the final volume and temperature is given as well, (1.5L) and (80*C). the question asks to find the final pressure and mass after the air has been let into the cylinder.
I know that F=kx F=P/a PV=mRT and Pv=RT, But i can't figure out how to manipulate these equations to solve for the pressure or the mass.
 
Physics news on Phys.org
jmets13 said:
I have a question with a horizontal cylinder with a piston attached to a spring inside the cylinder. air is then let into the cylinder and the spring contracts increasing the volume. the diameter of the piston is given (10cm), the spring force is given (80KN/m), the initial volume is given (1L) and the initial pressure is 150kPa. the final volume and temperature is given as well, (1.5L) and (80*C). the question asks to find the final pressure and mass after the air has been let into the cylinder.
I know that F=kx F=P/a PV=mRT and Pv=RT, But i can't figure out how to manipulate these equations to solve for the pressure or the mass.
Find the change in length of the spring. Final pressure is determined from the spring force at that extension.

Use: PV = nRT to then determine n and from that the mass of the air.

AM
 

Similar threads

A vertical cylinder fitted with a heavy leak-proof piston wi
  • · Replies 1 ·
Replies
1
Views
1K
Modeling Air Compression Cylinder
  • · Replies 45 ·
2
Replies
45
Views
7K
Adiabatic Expansion of Pressurized Air in a Piston-Cylinder Setup
  • · Replies 8 ·
Replies
8
Views
2K
Graduate Work done during adiabatic expansion on piston
  • · Replies 8 ·
Replies
8
Views
4K
Pressure-Volume Work
  • · Replies 7 ·
Replies
7
Views
1K
Graduate Adiabatic compression of piston and finding the velocity ratio of gas
  • · Replies 0 ·
Replies
0
Views
2K
Pressure/force calculation for combustion in a cylinder
  • · Replies 2 ·
Replies
2
Views
5K
Drag force on a cylinder in an air tunnel
  • · Replies 3 ·
Replies
3
Views
3K
Cylinder with piston separating two sections containing two gases.
  • · Replies 2 ·
Replies
2
Views
4K
ThermoDynamics: piston arrangement with stoppers
  • · Replies 12 ·
Replies
12
Views
6K