સમાન તાપમાને શુદ્ધ બેન્ઝિનનુ બાષ્પદબાણ \(119\, torr\) અને શુદ્ધ ટોલ્યુઇનનુ બાષ્પદબાણ \(37.0\, torr\) છે. તો ટોલ્યુઇનનો મોલ-અંશ \(0.50\) ધરાવતા બેન્ઝિન અને ટોલ્યુઇનના દ્રાવણમાં સંતુલને ટોલ્યુઇનનો બાષ્પ અવસ્થામાં મોલ-અંશ જણાવો.

A \(0.137\)
B \(0.237\)
C \(0.435\)
D \(0.205\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(0.237\)

Step-by-step Solution

Detailed explanation

\({P_A}\, = \,P_A^o\, \times \,{x_A}\, = \) total pressure \(\times y_A\) \({P_B}\, = \,P_B^o\, \times {x_B}\, = \) total pressure \(\times y_B\) where \(x\) and \(y\) represents mole fraction in liquid and vapour phase repsectively.…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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