For an ideal solution, which of the following is true? 

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DSSSB PGT Chemistry (Female) Official Paper (Held On: 06 Jul, 2018 Shift 1)
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  1. ΔHmix ≠ 0
  2. ΔVmix = 0
  3. ΔGmix = 0
  4. ΔSmix = 0

Answer (Detailed Solution Below)

Option 2 : ΔVmix = 0
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Detailed Solution

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CONCEPT:

Ideal Solution

  • An ideal solution is defined as a solution that obeys Raoult's law over the entire range of concentration.
  • In an ideal solution, the intermolecular interactions between the solute and solvent molecules are similar to those between the solute molecules and the solvent molecules.
  • For an ideal solution, the mixing process is thermodynamically ideal, meaning:
    • The enthalpy of mixing (ΔHmix) is zero.
    • The volume of mixing (ΔVmix) is zero.
    • The entropy of mixing (ΔSmix) is positive due to increased randomness.
    • The Gibbs free energy of mixing (ΔGmix) is negative for spontaneous mixing.

EXPLANATION:

  • For an ideal solution:
    • ΔHmix = 0 because there is no heat exchange during mixing.
    • ΔVmix = 0 because the total volume remains unchanged during mixing.
    • ΔGmix ≠ 0 because the mixing process is spontaneous, making the Gibbs free energy negative.
    • ΔSmix ≠ 0 because entropy increases due to mixing.
  • From the options provided:
    • Option 1: ΔHmix ≠ 0 is incorrect because, for an ideal solution, ΔHmix = 0.
    • Option 2: ΔVmix = 0 is correct because the volume of mixing is zero for an ideal solution.
    • Option 3: ΔGmix = 0 is incorrect because ΔGmix is negative for an ideal solution.
    • Option 4: ΔSmix = 0 is incorrect because ΔSmix is positive for an ideal solution.

Therefore, the correct answer is Option 2: ΔVmix = 0.

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