Thermodynamics problem - weight and piston connected by string

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Homework Help Overview

The discussion revolves around a thermodynamics problem involving a piston, a sample of air, and a weight connected by a string. The scenario includes a thermally insulated cylinder and seeks to determine the temperature of the air, the acceleration of the piston, and the greatest speed of the piston during the process.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the use of conservation of energy and the appropriate expansion process for the air in the cylinder. There is uncertainty regarding the adiabatic constant and the nature of the gas (air) as either monoatomic or diatomic. Questions arise about the assumptions made in the problem setup and the implications of equilibrium on the forces acting on the piston.

Discussion Status

Participants are actively exploring different interpretations of the problem, particularly regarding the adiabatic process and the equations governing the energy conservation. Some guidance has been offered regarding the nature of air and the adiabatic constant, but there is still a lack of consensus on the correct approach to the equations involved.

Contextual Notes

There are noted constraints regarding the initial conditions, such as the pressure being equal to atmospheric pressure and the volume of air specified in liters. Participants express confusion over potential errors in the problem statement and the values used in calculations.

  • #31
Pranav-Arora said:
I have used the same values given in the problem, what is wrong with my calculations? :confused:
As I said in my previous edited posting, I redid my calculations, and obtained 0.178 m for the equilibrium position and 1.27 m/s for the velocity. This velocity agrees with your value.

Chet
 
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  • #32
Chestermiller said:
As I said in my previous edited posting, I redid my calculations, and obtained 0.178 m for the equilibrium position and 1.27 m/s for the velocity. This velocity agrees with your value.

Chet

Ah, then the given answer must be wrong.

Thanks for the help voko, Chestermiller and DrClaude! :smile:
 

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