Three moles of nitrogen (N2) gas and three moles of argon (Ar) gas are in separa

Question

Three moles of nitrogen (N2) gas and three moles of argon (Ar) gas are in separate, equal-sized, insulated containers at the same temperature. The containers are then connected and the gases (assumed ideal) allowed to mix. (a) What is the change in entropy of the system? Correct: Your answer is correct. J/K (b) What is the change in entropy of the environment? Correct: Your answer is correct. J/K (c) Repeat part (a) but assume the argon container is three times as large as the nitrogen container. Incorrect: Your answer is incorrect. J/K

Explanation / Answer

for system, the change in entropy is,

dS = 2nRln[V2/V1] = 2*3*8.314*ln[2] = 34.57 J/K

In this case, the heat is not transferred to ht esystem or from the environment.

So, the change in entropy is,

dS = dQ/T = 0

In this case, the change in entropy is,

dS = SN + SAr = nRln[V2/V1]N + nRln[V2/V1]aR =nR{ln[3]+ [1.5]} = 3*8.314*{ln[3]+ [1.5]} = 37.5 J/K

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