A mixture of toluene and benzene forms a nearly ideal solution. Assume P B ° and P T ° to be the vapor pressures of pure benzene and toluene, respectively. The slope of the line obtained by plotting the total vapor pressure to the mole fraction of benzene is :-

Question

A mixture of toluene and benzene forms a nearly ideal solution. Assume P B ° and P T ° to be the vapor pressures of pure benzene and toluene, respectively. The slope of the line obtained by plotting the total vapor pressure to the mole fraction of benzene is :- (A) P B °- P T ° (B) P T °- P B ° (C) P B °+ P T ° (D) ( P B °+ P T °) / 2

Tardigrade Admin · Accepted Answer

P text total = chi B ( P B 0)+ chi T ( P T 0) = chi B ( P B 0)+(1- chi B )( P T 0) Comparing it with y = mx + c <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/chemistry/11e6400bc429a20f163d46863a79035a-.png" />

Q. A mixture of toluene and benzene forms a nearly ideal solution. Assume $P_{B}^{\circ}$ and $P_{T}^{\circ}$ to be the vapor pressures of pure benzene and toluene, respectively. The slope of the line obtained by plotting the total vapor pressure to the mole fraction of benzene is :-

$P_{B}^{\circ} - P_{T}^{\circ}$

$P_{T}^{\circ} - P_{B}^{\circ}$

$P_{B}^{\circ} + P_{T}^{\circ}$

$(P_{B}^{\circ} + P_{T}^{\circ}) /2$

$P_{total} = χ_{B} (P_{B}^{0}) + χ_{T} (P_{T}^{0})$
$= χ_{B} (P_{B}^{0}) + (1 - χ_{B}) (P_{T}^{0})$
Comparing it with $y = m x + c$

Q. A mixture of toluene and benzene forms a nearly ideal solution. Assume PB∘​ and PT∘​ to be the vapor pressures of pure benzene and toluene, respectively. The slope of the line obtained by plotting the total vapor pressure to the mole fraction of benzene is :-

PB∘​−PT∘​

PT∘​−PB∘​

PB∘​+PT∘​

(PB∘​+PT∘​)/2