\(20^{\circ} {C}\) પર બેન્ઝીનનું બાષ્પદબાણ \(70\) ટોર અને મિથાઈલ બેન્ઝીનનું \(20\) ટોર છે. \(20^{\circ} {C}\) પર બાષ્પના તબક્કામાં બેન્ઝીનનો મોલઅંશ બેન્ઝીન અને મિથાઈલ બેન્ઝિનના સમકક્ષ મિશ્રણ ઉપર \(.....\,\times 10^{-2}\) (નજીકના પૂર્ણાંકમાં)

A \(71\)
B \(87\)
C \(95\)
D \(78\)

Verified Solution

Answer & Solution

Correct Answer

(D) \(78\)

Step-by-step Solution

Detailed explanation

\(P_{B}^{\circ}=70 \quad P_{T}^{0}=20 \quad X_{B}=0.5=X_{M}\) Now. \(y_{B}=\frac{X_{B} P_{B}^{\circ}}{X_{B} P_{B}^{\circ}+X_{M} P_{M}^{0}}\) \(=\frac{70 \times 0.5}{70 \times 0.5+20 \times 0.5}\) \(=0.777 \Rightarrow 77.7 \times 10^{-2} \Rightarrow 78 \times 10^{-2}\)

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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