Calculate the entropy changes of the system and the surroundings

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SUMMARY

The discussion focuses on calculating the entropy changes of a system and its surroundings during an irreversible isothermal expansion and subsequent heating of 2.000 mol of neon gas. The initial state involves an isothermal expansion from 2.000 atm to 1.000 atm at 298.15K, followed by heating to 400K at constant pressure. The relevant equations include ΔS = ΔS_system + ΔS_surroundings, where ΔS_surroundings is calculated using the heat exchanged divided by the temperature of the surroundings. The key conclusion is that the entropy change of the system remains the same as in the reversible case, despite the process being irreversible.

PREREQUISITES
  • Understanding of thermodynamic concepts, specifically entropy and its calculations.
  • Familiarity with the ideal gas law and properties of neon gas.
  • Knowledge of isothermal processes and heat transfer principles.
  • Ability to apply the first law of thermodynamics in irreversible processes.
NEXT STEPS
  • Study the derivation of entropy change for irreversible processes in thermodynamics.
  • Learn about the ideal gas behavior and its implications on entropy calculations.
  • Explore the concept of heat transfer in isothermal expansions and its effect on surroundings.
  • Investigate the differences between reversible and irreversible thermodynamic processes.
USEFUL FOR

This discussion is beneficial for students and professionals in thermodynamics, particularly those studying physical chemistry or engineering, as well as anyone involved in calculating entropy changes in thermodynamic systems.

sara lopez
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Homework Statement



Calculate the entropy changes of the system and the surroundings if the initial and final states are the same
as in part a ( part a= 2.000 mol of neon (assume ideal with CV,m _ 3R/2) is expanded isothermally at 298.15K from 2.000 atm pressure to 1.000 atm pressure and is then heated from 298.15K to 398.15K at a constant pressure of 1.000 atm) , but if the gas is expanded irreversibly and isothermally against an external pressure of 1.000 atm and then heated irreversibly with the surroundings remaining essentially at equilibrium at 400 K.

2.000 mol of neon

CV,m = 3R/2

T1= 298.15K

T2= 400 K.

P1= 2.000 atm v1= 24,4 L

P2=Pext = 1.000 atm v2= 48,89L

Homework Equations

[/B]

The Attempt at a Solution



I think I am getting a bit confused here because the problem asks for the entropy changes of the system and the surroundings, but how to calculate the surroundings for irreversibly?ΔS u = ΔS sist + ΔS surro

ΔSsurroundings = qsurroundings /Tsurroundings = − q system /T surrounding
 

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In the irreversible case, the change in entropy of the system is the same as for the reversible case. To find the change in entropy of the surroundings for the irreversible case, you must first determine the amount of work done in the first step. If the final temperature is equal to the initial temperature in the first step, what is the amount of heat transferred in the first step? What is the amount of heat transferred in the second step?
 

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