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Pick out the INCORRECT STATEMENT

  • A.Internal energy of an ideal gas depends only on its temperature
  • B.Change in the internal energy in a cyclic process is not zero
  • C.Change in the internal energy of a gas depends only on its initial and final states
  • D.Internal energy depends upon state of matter
  • E.Change in the internal energy in a cyclic process is zero

Answer: B

The incorrect statement is Change in the internal energy in a cyclic process is not zero.

Internal energy is a state function: it depends only on the state, so its change depends only on the initial and final states. In a cyclic process the system returns to its starting state, so \(\Delta U = 0\), the opposite of the chosen statement.

The others are correct: for an ideal gas \(U\) depends only on temperature; \(\Delta U\) depends only on the end states; and internal energy does depend on the state of matter (a phase change at constant temperature changes \(U\)).

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