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Chemistry · THERMODYNAMICS

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Match List-I with List-II: List-I (Signs of \( \Delta_r H^\circ \) & \( \Delta_r S^\circ \)) List-II (Spontaneity Condition) A \( \Delta_r H^\circ < 0 \), \( \Delta_r S^\circ > 0 \) I Spontaneous only at low temperature B \( \Delta_r H^\circ < 0 \), \( \Delta_r S^\circ < 0 \) II Spontaneous at all temperatures C \( \Delta_r H^\circ > 0 \), \( \Delta_r S^\circ > 0 \) III Nonspontaneous at all temperatures D \( \Delta_r H^\circ > 0 \), \( \Delta_r S^\circ < 0 \) IV Spontaneous only at high temperature Choose the correct answer from the options given below:

Match List-I with List-II:

List-I (Signs of \( \Delta_r H^\circ \) & \( \Delta_r S^\circ \)) List-II (Spontaneity Condition)
A \( \Delta_r H^\circ < 0 \), \( \Delta_r S^\circ > 0 \) I Spontaneous only at low temperature
B \( \Delta_r H^\circ < 0 \), \( \Delta_r S^\circ < 0 \) II Spontaneous at all temperatures
C \( \Delta_r H^\circ > 0 \), \( \Delta_r S^\circ > 0 \) III Nonspontaneous at all temperatures
D \( \Delta_r H^\circ > 0 \), \( \Delta_r S^\circ < 0 \) IV Spontaneous only at high temperature

Choose the correct answer from the options given below:

  1. A-(II), B-(IV), C-(I), D-(III)
  2. A-(I), B-(II), C-(III), D-(IV)
  3. A-(II), B-(I), C-(IV), D-(III)
  4. A-(III), B-(I), C-(IV), D-(II)

Correct answer · Option 3

A-(II), B-(I), C-(IV), D-(III)

Explanation

\( \Delta H < 0, \Delta S > 0 \rightarrow \) spontaneous at all T (A-II). \( \Delta H < 0, \Delta S < 0 \rightarrow \) spontaneous at low T (B-I). \( \Delta H > 0, \Delta S > 0 \rightarrow \) spontaneous at high T (C-IV). \( \Delta H > 0, \Delta S < 0 \rightarrow \) nonspontaneous at all T (D-III).
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