બાષ્પશીલ પ્રવાહી \(A\) અને \(B\) નું \(25^{\circ}\,C\) પર બાષ્પદબાણ અનુક્રમે \(50\,torr\) અને \(100\,torr\) છે.જો પ્રવાહી મિશ્રણમાં \(A\) ના \(0.3\) મોલ અંશ ધરાવતું હોય તો, બાષ્પ અવસ્થામાં પ્રવાહી \(B\) ના મોલ અંશ \(\frac{x}{17}\) છે. તો \(x\) નું \(\dots\dots\) મૂલ્ચ છે.

A \(140\)
B \(89\)
C \(14\)
D \(54\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(14\)

Step-by-step Solution

Detailed explanation

\(\frac{ y _{ B }}{1- y _{ B }}=\frac{ P _{ B }^{\circ}}{ P _{A}^{\circ}}\frac{ X _{ B }}{1- X _{ B }}\) \(\Rightarrow \frac{ y _{ B }}{1- y _{ B }}=\frac{100}{50}[\frac{0.7}{0.3}]=\frac{14}{3}\) \(\Rightarrow y _{ B }=\frac{14}{17}\) Ans. \(14\)

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.

Same subject

સૂચિ\(I\) સાથે સૂચિ\(II\) ને જોડો.

સૂચિ\(I\) સંકીર્ણ	સૂચિ\(II\) સ્ફટિક ક્ષેત્ર વિભાજન ઊર્જા \(\left(\Delta_0\right)\)
\(A\) \(\left[ Ti \left( H _2 O \right)_6\right]^{2+}\)	\(I\) \(-1.2\)
\(B\) \(\left[ V \left( H _2 O \right)_6\right]^{2+}\)	\(II\) \(-0.6\)
\(C\) \(\left[ Mn \left( H _2 O \right)_6\right]^{3+}\)	\(III\) \(0\)
\(D\) \(\left[ Fe \left( H _2 O \right)_6\right]^{3+}\)	\(IV\) \(-0.8\)

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