A container is divided into two equal portions. One portion contains an ideal gas at pressure P and temperature T while the other portion is a perfect vacuum. If a hole is opened between two portions:

Correct answer: C. There will be no change in internal energy

  • A. There will be a change in internal energy
  • B. There will be a change in temperature
  • C. There will be no change in internal energy
  • D. The external pressure will increase

Explanation

This describes a free expansion process into a vacuum. Since no external pressure is overcome, the work done (W) is zero. As the container is insulated, heat transfer (Q) is also zero. According to the first law (ΔU = Q - W), the change in internal energy (ΔU) must also be zero.

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