Work transfer - Introductory Thermodynamics

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SUMMARY

The discussion revolves around calculating work transfer in a thermodynamic system involving a vertical cylinder with a piston. The piston has a mass of 200 kg and a cross-sectional area of 0.1 m², while the atmospheric pressure is constant at 100 kPa. Two scenarios are analyzed: the work done by the air alone and the work done by the air in conjunction with the piston. Key equations utilized include Force = Pressure x Area and Work = Force x distance.

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Daveami
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Hi there,

Would anyone be able to help with the below problem.

Vertical cylinder, closed at the lower end, fitted with a frictionless piston of mass 200kg and cross-sectional area 0.1m^2. The cylinder contains air which is heated such that its state changes and the piston rises through o.5m. (atmospheric pressure is constant at 100KPa)

Calculate the work transfer to the surroundings if

a) the system is the air in the cylinder only.
b) the system is the air in the cylinder and the piston.

Equations:

None are given but I would think these are relevant:
Force = Pressure x Area
Work = Force x distance
Work = Integral of F dx
Work = integral of P dx

Any help would be appreciated!

Dave
 
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