Work transfer - Introductory Thermodynamics

AI Thread Summary
The discussion revolves around a thermodynamics problem involving a vertical cylinder with a piston, where air is heated, causing the piston to rise. The key calculations involve determining work transfer to the surroundings, considering two different systems: the air alone and the air plus the piston. Relevant equations include force as a product of pressure and area, and work as the product of force and distance. The original poster, Dave, initially sought assistance but later confirmed that he solved the problem independently. The thread highlights the application of thermodynamic principles in calculating work transfer in a closed system.
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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