Reversible Process: Final Temp Calc of Argon Mass 12.0g

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SUMMARY

The discussion focuses on calculating the final temperature of a 12.0 g sample of argon during a reversible and adiabatic expansion from 1.0 L at 273.15 K to 3.0 L. The initial calculations yielded a pressure of 6.7 atm using the ideal gas law, but the final temperature calculation was incorrect due to the omission of the adiabatic expansion equation. The correct approach requires using the specific equation for adiabatic processes to determine the final temperature accurately.

PREREQUISITES
  • Understanding of the ideal gas law (PV=nRT)
  • Knowledge of adiabatic processes in thermodynamics
  • Familiarity with the concept of molar mass and its application
  • Ability to manipulate equations involving pressure, volume, and temperature
NEXT STEPS
  • Study the adiabatic process equations, specifically the relation between pressure, volume, and temperature
  • Learn about the specific heat capacities of argon and their role in adiabatic processes
  • Explore the derivation and application of the adiabatic expansion formula
  • Practice problems involving reversible processes in thermodynamics
USEFUL FOR

This discussion is beneficial for students studying thermodynamics, particularly those focusing on gas laws and adiabatic processes, as well as educators seeking to clarify concepts related to reversible expansions.

Gil-H
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Homework Statement


Calculate the final temperature of a sample of argon of mass 12.0 g that is expanded
reversibly and adiabatically from 1.0 L at 273.15 K to 3.0 L.


Homework Equations





The Attempt at a Solution



n = 12[g]/40[g][mol]-1 = 0.3 [mol]

pVi=nRTi

p = 0.3[mol]0.082[L][atm][K]-1[mol]-1/1[L] = 6.7 [atm]

Tf = pVf/nR = 6.7[atm]3[L]/0.3[mol]0.082[L][atm][K]-1[mol]-1 = 817.07 [K]

What is wrong? What have I overlooked?
I think it has something to do with the term 'reversibly', but how?
 
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Gil-H said:
p = 0.3[mol]0.082[L][atm][K]-1[mol]-1/1[L] = 6.7 [atm]

How can that be correct? You haven't multiplied in the temperature.

To solve this problem, you need to use an equation that's specifically meant for adiabatic expansion/contraction. Do you know the equation?
 

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