Q11 / 180 · KCET 2014 · Chemistry

For an ideal binary liquid mixture

  • A
    \( \Delta \mathrm{H}_{(\text {mix })}=0 ; \Delta \mathrm{S}_{(\text {mix })} < 0 \)
  • Correct answer
    B
    \( \Delta \mathrm{S}_{(\mathrm{mix})}>0 ; \Delta \mathrm{G}_{(\mathrm{mix})} < 0 \)
  • C
    \( \Delta S_{(\mathrm{mix})}=0 ; \Delta G_{(\mathrm{mix})}=0 \)
  • D
    \( \Delta \mathrm{V}_{(\text {mix })}=0 ; \Delta \mathrm{G}_{(\text {mix })}>0 \)

Solution

For an ideal binary liquid mixture $\Delta S_{\operatorname{mix}}>0$ and $\Delta G_{\operatorname{mix}} < 0$ For ideal solution; $\Delta H_{\operatorname{mix}}=0$ and $\Delta V_{\operatorname{mix}}=0$ $\Delta G=\Delta \mathrm{H}-\mathrm{T} \Delta S$ $\Delta G$ should be $-$ ve for reaction to be spontaneous, that is, $\Delta G < 0$. When $\Delta G < 0$, then $\Delta S$ should have value greater than zero

Hence, the correct answer is option: 'B'.

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