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Solutions question

2002 · Shift 0 · Q19
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Solutions question

2002 · Shift 0 · Q19

JEE MainChemistrySolutionsMCQ+4 / −1
In a mixture of A and B, components show negative deviation when :
  1. A
    ΔVmix\Delta V_{mix}ΔVmix​> 0, ΔSmix\Delta S_{mix}ΔSmix​ > 0
  2. B
    ΔVmix\Delta V_{mix}ΔVmix​= 0, ΔSmix\Delta S_{mix}ΔSmix​ > 0
  3. C
    A - B interaction is weaker than A - A and B - B interaction
  4. D
    A - B interaction is stronger than A - A and B - B interaction
View written solutionFree

Correct answer: D

  1. Meaning of negative deviation from Raoult’s law

    A solution shows negative deviation when the observed vapour pressure is less than that predicted by Raoult’s law.

    This happens when unlike molecules attract each other more strongly than like molecules.

    So, for components AAA and BBB: A−B interaction>A−A and B−B interactionsA-B \, \text{interaction} > A-A \text{ and } B-B \text{ interactions}A−Binteraction>A−A and B−B interactions

  2. Thermodynamic consequences of negative deviation

    Because A−BA-BA−B attractions are stronger, mixing is accompanied by:

    • decrease in volume due to closer packing: ΔVmix<0\Delta V_{mix} < 0ΔVmix​<0
    • release of heat: ΔHmix<0\Delta H_{mix} < 0ΔHmix​<0

    Therefore, any option claiming ΔVmix>0\Delta V_{mix} > 0ΔVmix​>0 or ΔVmix=0\Delta V_{mix} = 0ΔVmix​=0 is not characteristic of negative deviation.

  3. Check each option

    Option A: ΔVmix>0, ΔSmix>0\Delta V_{mix} > 0, \, \Delta S_{mix} > 0ΔVmix​>0,ΔSmix​>0

    • Positive volume change suggests weaker interactions.
    • Not correct for negative deviation.

    Option B: ΔVmix=0, ΔSmix>0\Delta V_{mix} = 0, \, \Delta S_{mix} > 0ΔVmix​=0,ΔSmix​>0

    • Ideal-like volume behavior does not indicate negative deviation.
    • Not correct.

    Option C: A−BA-BA−B interaction is weaker than A−AA-AA−A and B−BB-BB−B interaction

    • This corresponds to positive deviation, not negative deviation.
    • Not correct.

    Option D: A−BA-BA−B interaction is stronger than A−AA-AA−A and B−BB-BB−B interaction

    • This is exactly the condition for negative deviation.
    • Correct.
  4. Final answer

    The correct option is: D\boxed{D}D​

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