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Chemistry · THERMODYNAMICS

हिन्दी

Multiplying the total entropy change expression by \( -T \) gives \( -T\Delta S_{\text{total}} = \Delta H_{\text{sys}} - T\Delta S_{\text{sys}} \). Under constant \( T \) and \( p \), spontaneity requires \( \Delta S_{\text{total}} > 0 \), which corresponds to:

  1. \( \Delta G_{\text{sys}} > 0 \)
  2. \( \Delta G_{\text{sys}} = \Delta H_{\text{sys}} \)
  3. \( \Delta G_{\text{sys}} = 0 \)
  4. \( \Delta G_{\text{sys}} < 0 \)

Correct answer · Option 4

\( \Delta G_{\text{sys}} < 0 \)

Explanation

Since \( \Delta G_{\text{sys}} = -T\Delta S_{\text{total}} \) and \( T > 0 \), \( \Delta S_{\text{total}} > 0 \) implies \( \Delta G_{\text{sys}} < 0 \).
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