Isothermal Compression and Entropy Change

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SUMMARY

The discussion centers on calculating the entropy change (ΔS) for a reversible isothermal compression of a 740g ideal gas at 330 K, with an initial volume of 0.40 m3 and a final volume of 0.32 m3. The formula used is ΔS = nR*ln(Vf/Vi), where 'n' represents the number of moles. Participants highlight the necessity of knowing the molar mass to determine 'n', which is crucial for solving the problem accurately. The entropy change options provided include -43 J/K, -150 J/K, 43 J/K, 150 J/K, and 0 J/K.

PREREQUISITES
  • Understanding of ideal gas laws
  • Familiarity with the concept of entropy in thermodynamics
  • Knowledge of the formula ΔS = nR*ln(Vf/Vi)
  • Ability to calculate the number of moles from mass and molar mass
NEXT STEPS
  • Learn how to calculate molar mass for different gases
  • Study the ideal gas law and its applications in thermodynamics
  • Explore the implications of entropy change in thermodynamic processes
  • Investigate the concept of reversible processes in thermodynamics
USEFUL FOR

Students studying thermodynamics, particularly those focusing on ideal gas behavior and entropy calculations, as well as educators seeking to clarify the importance of molar mass in thermodynamic equations.

PShooter1337
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Homework Statement



A 740g quantity of an ideal gas undergoes a reversible isothermal compression at a temperature of 330 K. The compression reduces the volume of the gas from 0.40 m3 initially, to 0.32 m3 finally. The entropy change of the gas is equal to:

A) -43 J/K B) -150 J/K C) 43 J/K D) 150 J/K E) 0 J/K


Homework Equations



ΔS = nR*ln(Vf/Vi)

The Attempt at a Solution



I actually know exactly how to solve this problem. The only thing is, I haven't been able to determine n, the number of moles, without being given the molar mass.
Is there some method to determine n that I'm missing, or has my prof omitted a vital piece of information (the molar mass)?
 
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PShooter1337 said:

Homework Statement



A 740g quantity of an ideal gas undergoes a reversible isothermal compression at a temperature of 330 K. The compression reduces the volume of the gas from 0.40 m3 initially, to 0.32 m3 finally. The entropy change of the gas is equal to:

A) -43 J/K B) -150 J/K C) 43 J/K D) 150 J/K E) 0 J/K


Homework Equations



ΔS = nR*ln(Vf/Vi)

The Attempt at a Solution



I actually know exactly how to solve this problem. The only thing is, I haven't been able to determine n, the number of moles, without being given the molar mass.
Is there some method to determine n that I'm missing, or has my prof omitted a vital piece of information (the molar mass)?
You need the molar mass.

AM
 

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