An ideal solution has two components A and B. | vedclass

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(A) According to Raoult's law,the partial pressure of a component in a solution is $P_A = P_A^{\circ} X_A$. According to Dalton's law of partial press

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$X_A < Y_A$

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(A) According to Raoult's law,the partial pressure of a component in a solution is $P_A = P_A^{\circ} X_A$. According to Dalton's law of partial pressures,the partial pressure of a component in the vapour phase is $P_A = P_T Y_A$. Equating these,we get $P_A^{\circ} X_A = P_T Y_A$,which implies $\frac{Y_A}{X_A} = \frac{P_A^{\circ}}{P_T}$. Since $A$ is more volatile than $B$,its pure vapour pressure $P_A^{\circ}$ is greater than the total pressure $P_T$ of the solution $(P_A^{\circ} > P_T)$. Therefore,$\frac{Y_A}{X_A} > 1$,which means $Y_A > X_A$ or $X_A < Y_A$.

An ideal solution has two components $A$ and $B$. If $A$ is more volatile than $B$,then the correct relation between mole fraction of $A$ in liquid $(X_A)$ and vapour phase $(Y_A)$ is:

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