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For an ideal solution, the non-zero value will be for:

A

ΔHmix\Delta H_{\text{mix}}

B

ΔSmix\Delta S_{\text{mix}}

C

ΔVmix\Delta V_{\text{mix}}

D

ΔP\Delta P

Step-by-Step Solution

According to the definition of an ideal solution given in the NCERT textbook:

  1. Enthalpy of mixing (ΔHmix\Delta H_{\text{mix}}): No heat is absorbed or evolved when components are mixed, so ΔHmix=0\Delta H_{\text{mix}} = 0.
  2. Volume of mixing (ΔVmix\Delta V_{\text{mix}}): The volume of the solution is the sum of the volumes of the components, so ΔVmix=0\Delta V_{\text{mix}} = 0.
  3. Pressure change (ΔP\Delta P): An ideal solution obeys Raoult's Law (Ptotal=PcalculatedP_{\text{total}} = P_{\text{calculated}}), so ΔP=PobsPcalc=0\Delta P = P_{\text{obs}} - P_{\text{calc}} = 0.
  4. Entropy of mixing (ΔSmix\Delta S_{\text{mix}}): Mixing causes an increase in disorder (randomness) of the system. According to the Second Law of Thermodynamics, for any spontaneous process like mixing, the change in entropy is positive. Therefore, ΔSmix>0\Delta S_{\text{mix}} > 0 (non-zero).
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