In a binary ideal solution of liquids $A$ and $B$ at a constant temperature,the mole fraction of $B$ in the liquid phase is $0.4$ and in the vapor phase is $0.25$. If $P_B^o = 40 \ mm \ Hg$,then the vapor pressure of pure liquid $A$ at that temperature is .......... $mm \ Hg$.

$A$ liquid solution is formed by mixing $10 \, moles$ of aniline and $20 \, moles$ of phenol at a temperature where the vapour pressure of pure liquid aniline and phenol are $90 \, mmHg$ and $87 \, mmHg$ respectively. The possible vapour pressure of the solution at that temperature is ............. $mmHg$.

Which of the following is appropriate for the solution made by mixing acetone and carbon disulphide?

For an ideal solution of two components $A$ and $B$,which of the following is true?

Assertion $A$: For an ideal solution formed by mixing liquids $P$ and $Q$, $\Delta_{mix} H = 0$ and $\Delta_{mix} V = 0$.
Reason $R$: No interactions occur between $P$ and $Q$.
In the light of the above statements, choose the most appropriate answer from the options given below:

$A$ mixture of methanol $(MeOH)$ and ethanol $(EtOH)$ forms an ideal solution. If the partial pressures of methanol and ethanol are $2.619 \ kPa$ and $4.556 \ kPa$ respectively,what will be the mole fractions of the components in the vapor phase?