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Chemistry · THERMODYNAMICS

हिन्दी

In an isolated system containing liquid water in equilibrium with its vapor at \( 100^\circ\text{C} \), if the volume of the container is suddenly doubled, which of the following is true regarding \( \Delta U \) of the isolated system immediately after the expansion?

  1. \( \Delta U = 0 \) because no energy as heat or work can cross the boundary of an isolated system.
  2. \( \Delta U > 0 \) because vaporization is an endothermic process.
  3. \( \Delta U < 0 \) because the system expands against vapor pressure.
  4. \( \Delta U = w_{\text{ad}} \neq 0 \) because boundary work is performed on the walls.

Correct answer · Option 1

\( \Delta U = 0 \) because no energy as heat or work can cross the boundary of an isolated system.

Explanation

By definition, an isolated system cannot exchange energy (neither as heat nor as work) with the surroundings; therefore, for any process within an isolated system, \( q = 0, w = 0 \), and \( \Delta U = 0 \).
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