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Question: Answered & Verified by Expert
A container with rigid walls is covered with perfectly insulating material. The container is divided into two parts by a partition. One part contains a gas while the other is fully evacuated (vacuum). The partition is suddenly removed. The gas rushes to fill the entire volume and comes to equilibrium after a little time. If the gas is $\underline{\text { not }}$ ideal,
PhysicsThermodynamicsKVPYKVPY 2011 (SB/SX)
Options:
  • A the initial internal energy of the gas equals its final internal energy
  • B the initial temperature of the gas equals its final temperature
  • C the initial pressure of the gas equals its final pressure
  • D the initial entropy of the gas equals its final entropy
Solution:
2595 Upvotes Verified Answer
The correct answer is: the initial internal energy of the gas equals its final internal energy


expansion is against
vacuum $\therefore \Delta \mathrm{W}=0$
Insulated container $\therefore \Delta \mathrm{Q}=0$
First law of thermodynamics
$\begin{array}{l}
\Delta \mathrm{Q}=\Delta \mathrm{W}+\Delta \mathrm{U} \\
0=0+\Delta \mathrm{U} \\
0=0+\Delta \mathrm{U} \\
\Delta \mathrm{U}=0
\end{array}$

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