7) When water initially at a temperature T1 is mixed with the same amount of water at a different temperature T2 in an insulated container at constant pressure, the final temperature of the mixture is the average of the two. Show that the change in entropy for the adiabatic mixing process is given by AS = C, In G+T,) 47,T, Prove that AS is always positive for any values of the two initial temperatures provided that they are not the same.

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7) When water initially at a temperature T1 is mixed with the same amount of water at a
different temperature T2 in an insulated container at constant pressure, the final
temperature of the mixture is the average of the two. Show that the change in entropy for
the adiabatic mixing process is given by
AS = C, In G+T,)²
4T,T,
Prove that AS is always positive for any values of the two initial temperatures provided that they are
not the same.
Transcribed Image Text:7) When water initially at a temperature T1 is mixed with the same amount of water at a different temperature T2 in an insulated container at constant pressure, the final temperature of the mixture is the average of the two. Show that the change in entropy for the adiabatic mixing process is given by AS = C, In G+T,)² 4T,T, Prove that AS is always positive for any values of the two initial temperatures provided that they are not the same.
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