Adiabatic Expansion Temp: 500K to 6.5x Monatomic, Diatomic (No Vib) & Vibrating

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Homework Help Overview

The problem involves an ideal gas undergoing adiabatic expansion from an initial temperature of 500 K to a final volume that is 6.5 times its original volume. The discussion focuses on determining the resulting temperature for different types of gases: monatomic and diatomic (with and without vibrational modes).

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of the adiabatic process equation, PV^y = constant, and the role of degrees of freedom in determining the value of y. There are questions about how temperature relates to the equations being used and how to incorporate it into the calculations.

Discussion Status

The discussion is ongoing, with participants exploring the relationships between pressure, volume, and temperature. Some guidance has been offered regarding the use of equations, but there is no explicit consensus on how to proceed with the calculations for the different gas types.

Contextual Notes

Participants are working within the constraints of the problem, which specifies an adiabatic process and different gas types, but there may be uncertainties regarding the application of the equations and the assumptions about degrees of freedom.

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An ideal gas at 500 K is expanded adiabatically to 6.5 times its original volume. Determine its resulting temperature if the gas is as follows.

(a) monatomic

(b) diatomic (no vibrations)

(c) diatomic (molecules do vibrate)

Anything to get me started?
 
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Start with [itex]PV^y[/itex] = constant where [itex]y = 1 + \frac{2}{f}[/itex]


where f= degrees of freedom

BJ
 
Last edited:
But where does temperature come in the picture?
 
Use PV=RT

Put the value of P from above equation into [itex]PV^y[/itex] , not try it out.

BJ
 

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