Reversible adiabatic expansion of ideal gas, entropy change?

Click For Summary

Homework Help Overview

The discussion revolves around the entropy change of one mole of an ideal gas undergoing two types of expansions: a reversible isothermal expansion and a reversible adiabatic expansion. The initial condition is set at 0 degrees Celsius.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the implications of adiabatic processes on entropy change, questioning whether dQ equals zero in such scenarios. There is also discussion about the assumptions regarding the isolation of the system and its effect on entropy.

Discussion Status

Participants are engaged in clarifying the conditions under which entropy changes occur, particularly in relation to adiabatic processes. Some guidance has been offered regarding the calculation of entropy change, but there remains uncertainty about the assumptions being made.

Contextual Notes

There is a hint provided regarding the relationship between temperature and volume for an ideal gas during adiabatic expansion, but the participants express confusion about the implications of this hint on their calculations.

krhisjun
Messages
22
Reaction score
0

Homework Statement


One mole of an ideal gas at 0 celsius is subjected to changes below, calculate the change in entropy of the gas:

i) Gas is expanded reversibly and isothermally to twice its initial volume. DONE - 5.76 J/K
ii)A similar expansion to i. is performed reversibly and adiabatically [hint, for an ideeal gas undergoing reversible adiabatic expansion TV^(gamma - 1) = constant]


Homework Equations



I know delta Q = -nRT Ln (Vf/Vi) for a reversible isothermal expansion

delta S = delta Q / absolute T

dE = dW + dQ

The Attempt at a Solution



for a isolated system i know the entropy change would be zero, but as it doesn't state this i don't feel that i can just state "assuming system is isolated entropy change is zero"
so I am stuck how to go about this..

Khris
 
Physics news on Phys.org
krhisjun said:

Homework Statement


One mole of an ideal gas at 0 celsius is subjected to changes below, calculate the change in entropy of the gas:

i) Gas is expanded reversibly and isothermally to twice its initial volume. DONE - 5.76 J/K
ii)A similar expansion to i. is performed reversibly and adiabatically [hint, for an ideeal gas undergoing reversible adiabatic expansion TV^(gamma - 1) = constant]


Homework Equations



I know delta Q = -nRT Ln (Vf/Vi) for a reversible isothermal expansion

delta S = delta Q / absolute T

dE = dW + dQ

The Attempt at a Solution



for a isolated system i know the entropy change would be zero, but as it doesn't state this i don't feel that i can just state "assuming system is isolated entropy change is zero"
so I am stuck how to go about this..
The entropy change of the gas is not zero.

Work it out (Hint: you don't actually have to do any integration).

\Delta S = \int_1^2 dQ/T + \int_2^3 dQ/T

AM
 
i know
<br /> \Delta S = \int_1^2 dQ/T + \int_2^3 dQ/T<br />
but dQ is zero for an adiabatic process isn't it?

Khris
 
Andrew Mason said:
The entropy change of the gas is not zero.

Work it out (Hint: you don't actually have to do any integration).

\Delta S = \int_1^2 dQ/T + \int_2^3 dQ/T

AM

Sorry to bring this up again, but doing a similar question...

Surely here dQ = 0 since the gas is expanded adiabatically?
 
Andrew Mason said:
The entropy change of the gas is not zero.

Work it out (Hint: you don't actually have to do any integration).

\Delta S = \int_1^2 dQ/T + \int_2^3 dQ/T

AM

heloooo? *bump*
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
993
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
Replies
14
Views
1K
  • · Replies 6 ·
Replies
6
Views
4K
Replies
13
Views
2K
  • · Replies 1 ·
Replies
1
Views
847
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 3 ·
Replies
3
Views
4K