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(C) For an ideal solution,the total vapour pressure $P_T$ is given by Raoult's law: $P_T = P_A^0 x_A + P_B^0 x_B$,where $x_A + x_B = 1$.Case $1$: Mola

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$550, 250$

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(C) For an ideal solution,the total vapour pressure $P_T$ is given by Raoult's law: $P_T = P_A^0 x_A + P_B^0 x_B$,where $x_A + x_B = 1$.Case $1$: Molar ratio $1:1$,so $x_A = 0.5$ and $x_B = 0.5$. $P_T = 400 \ mm$. Thus,$0.5 P_A^0 + 0.5 P_B^0 = 400$,which simplifies to $P_A^0 + P_B^0 = 800$ (Equation $1$).Case $2$: Molar ratio $1:2$,so $x_A = 1/3$ and $x_B = 2/3$. $P_T = 350 \ mm$. Thus,$(1/3) P_A^0 + (2/3) P_B^0 = 350$,which simplifies to $P_A^0 + 2 P_B^0 = 1050$ (Equation $2$).Subtracting Equation $1$ from Equation $2$: $(P_A^0 + 2 P_B^0) - (P_A^0 + P_B^0) = 1050 - 800$,so $P_B^0 = 250 \ mm$.Substituting $P_B^0 = 250$ into Equation $1$: $P_A^0 + 250 = 800$,so $P_A^0 = 550 \ mm$.Therefore,the vapour pressures of pure liquids $A$ and $B$ are $550 \ mm$ and $250 \ mm$ respectively.

The ideal solutions formed by mixing two liquids $A$ and $B$ at $300 \ K$ in the molar ratio of $1:1$ and $1:2$ have vapour pressures of $400 \ mm$ and $350 \ mm$ respectively. At the same temperature,the vapour pressures of pure liquids $A$ and $B$ in $mm$ respectively are:

Similar Questions

$A$ mixture of toluene and benzene boils at $100^{\circ} C$. Assuming ideal behaviour,the mole fraction of toluene in the mixture is closest to (Vapour pressures of pure toluene and pure benzene at $100^{\circ} C$ are $0.742 \ bar$ and $1.800 \ bar$,respectively. $1 \ atm = 1.013 \ bar$)

Which of the following mixture$(s)$ show$(s)$ positive deviation from Raoult's law at $35^{\circ}C$?
$(A)$ Carbon tetrachloride + methanol
$(B)$ Carbon disulphide + acetone
$(C)$ Benzene + toluene
$(D)$ Phenol + aniline

Given:
Solution $A$: Phenol and aniline
Solution $B$: Chloroform and acetone
Which of the following is correct as per Raoult's law?

Which statement about the composition of vapour over an ideal $1:1$ molar mixture of benzene and toluene is correct? Assume the temperature is constant at $25\,^{\circ}C$. Vapour pressure data $(25\,^{\circ}C)$:
Benzene: $75\, mm\, Hg$
Toluene: $22\, mm\, Hg$

If liquids $A$ and $B$ form an ideal solution,then:

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