# Liquids A and B have vapour pressures ${p}_{\mathrm{A}}^{\ast }$ and , respectively, with ${p}_{\mathrm{A}}^{\ast }>{p}_{\mathrm{B}}^{\ast }$. These liquids from an ideal solution. If ${x}_{\mathrm{A}}$ and ${y}_{\mathrm{A}}$ are mole fractions of A in liquid and vapour phases then the slope of

1. A

the linear plot of ${y}_{\mathrm{A}}$ versus ${x}_{\mathrm{A}}$ is positive

2. B

he linear plot of ${y}_{\mathrm{A}}$ versus ${x}_{\mathrm{A}}$ is negative

3. C

the linear plot of $\mathit{1}\mathit{/}{y}_{\mathrm{A}}$ versus $\mathit{1}\mathit{/}{x}_{\mathrm{A}}$ is positive

4. D

the linear plot of $\mathit{1}\mathit{/}{y}_{\mathrm{A}}$ versus $\mathit{1}\mathit{/}{x}_{\mathrm{A}}$ is negative

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### Solution:

The slope of the the linear plot of $\mathit{1}\mathit{/}{y}_{\mathrm{A}}$ versus $\mathit{1}\mathit{/}{x}_{\mathrm{A}}$ is positive when ${p}_{\mathrm{A}}^{\ast }>{p}_{\mathrm{B}}^{\ast }$.

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