# For an ideal solution of liquids A and B, which of the facts is correct?Where ${k}_{\mathit{H}}^{\mathit{\prime }}\mathrm{s}$ stand for Henry's law constants and ${p}^{\ast \mathrm{\prime }}\mathrm{s}$ are the vapour pressures of pure components.

1. A

${k}_{\mathrm{H},\mathrm{A}}>{p}_{\mathrm{A}}^{\ast }$ and ${k}_{\mathrm{H},\mathrm{B}}>{p}_{\mathrm{B}}^{\ast }$

2. B

${k}_{\mathrm{H},\mathrm{A}}<{p}_{\mathrm{A}}^{\ast }$ and ${k}_{\mathrm{H},\mathrm{B}}<{p}_{\mathrm{B}}^{\ast }$

3. C

${k}_{\mathrm{H},\mathrm{A}}={p}_{\mathrm{A}}^{\ast }$ and ${k}_{\mathrm{H},\mathrm{B}}={p}_{\mathrm{B}}^{\ast }$

4. D

${k}_{\mathrm{H},\mathrm{A}}>{p}_{\mathrm{A}}^{\ast }$ and ${k}_{\mathrm{H},\mathrm{B}}<{p}_{\mathrm{B}}^{\ast }$

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### Solution:

By Henry’s law constant, we know that the the value of solubility is proportional to the mole fraction of the gas,

$\mathrm{p}={\mathrm{K}}_{\mathrm{H}}\mathrm{X}$

For pure components, For an ideal solution of liquids A and B,

${k}_{\mathrm{H},\mathrm{A}}={p}_{\mathrm{A}}^{\ast }$ and ${k}_{\mathrm{H},\mathrm{B}}={p}_{\mathrm{B}}^{\ast }$

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