Reversible adiabatic expansion of ideal gas, entropy change?

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SUMMARY

The discussion focuses on calculating the change in entropy for one mole of an ideal gas undergoing two types of expansions: isothermal and adiabatic. The isothermal expansion to twice its initial volume results in an entropy change of 5.76 J/K. For the adiabatic expansion, participants clarify that although dQ equals zero during the process, the entropy change is not zero, as indicated by the equation ΔS = ∫dQ/T. The hint provided emphasizes that integration is unnecessary for this calculation.

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krhisjun
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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
 
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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*
 

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