Question

The vapor pressure of benzene, toluene, and ortho xylene are 75 torr, 22 torr, and 10 torr at \[{{20}^{\circ }}C\]. Which of the following is not a possible value of the vapor pressure of an equimolar binary/ternary solution of these at \[{{20}^{\circ }}C\]? Assume all form ideal solutions with each other.
A. \[48\dfrac{1}{2}\]
B. \[16\]
C. \[35\dfrac{2}{3}\]
D. \[53\dfrac{1}{2}\]

Answer 1

Hint: The thought here is that the fume weights of benzene and toluene will add to the all out fume weight of the arrangement relatively to their individual mole part. This is known as Raoult's Law. Now, mole fraction is defined as the ratio between the number of moles of a component of a solution and the total number of moles present in the solution.

Complete step by step answer:
In the equimolar binary mixture, the mole fraction of two components will be 0.5 each.
When different equimolar binary mixtures are formed, the total pressure is as calculated below.
\[{{P}_{T}} \, (Benzene,toluene) \, =\dfrac{1}{2}\left( 75+22 \right)=48.5\, torr\]
\[{{P}_{T}} \, (Benzene,ortho\,xylene) \, =\dfrac{1}{2}\left( 75+10 \right)=42.5\, torr\]
\[{{P}_{T}} \, (toluene,ortho \,xylene) \, =\dfrac{1}{2}\left( 22+10 \right)=16\, torr\]
In the equimolar ternary mixture, the mole fraction of two components will be 0.33 each.
When the equimolar ternary mixture is formed, the total pressure is as calculated below.
\[{{P}_{T}} \, (Benzene,toluene,ortho \,xylene) \,=\dfrac{1}{3}\left( 75+22+10 \right)=35\dfrac{2}{3} \, torr\]

So, The correct option is C. \[35\dfrac{2}{3}torr\]

Additional Information:
One of the easiest and most generally applied for non-watery combinations is Raoult's law. It is utilized to assess the commitment of individual segments of a fluid or strong combination to the all out weight applied by the framework, espe-cially for discrete blends where the amount of each com-ponent is known.

Note:
Toluene is an awesome dissolvable on the grounds that, in contrast to water, it can break down numerous natural mixes. In numerous business items, toluene is utilized as a dissolvable that is available in acetones, nail clean remover, pastes, and remedy liquid. Toluene has numerous utilizations in various businesses.