Question: Entropy changes in a free expansion

ADIABATIC FREE EXPANSION

 

Suppose an ideal gas expands to four times its initial volume. From experience for this process, the initial and final 

temperature are the same.

  1. Using a macroscopic approach, calculate the entropy change for the gas
  2. Using statistical considerations, calculate the change in entropy for the gas and show that it agrees with the answer 
    you obtained in part 1.
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