\(A\) અને \(B\) સંપૂર્ણ સંઘટન મર્યાદામાં આદર્શ દ્રાવણ બનાવે છે. \(350\, K\) તાપમાને શુદ્ધ \(A\) અને \(B\) ના બાષ્પદબાણ અનુક્રમે \(7 \times 10^3\, Pa\) અને \(12 \times 10^3\, Pa\) છે. આ તાપમાને \(A\) ના \(40\) મોલ પ્રતિશત ધરાવતા દ્રાવણમાં સંતુલને બાષ્પનુ સંઘટન શું હશે?

A \(x_A = 0.37\) ; \(x_B = 0.63\)
B \(x_A = 0.28\) ; \(x_B = 0.72\)
C \(x_A = 0.40\) ; \(x_B = 0.6\)
D \(x_A = 0.76\) ; \(x_B = 0.24\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(x_A = 0.28\) ; \(x_B = 0.72\)

Step-by-step Solution

Detailed explanation

\({P_A}\, = \,{\chi _A}P_A^o\, = \,{Y_A}{P_T}\) \({P_T}\, = {\chi _A}P_A^o + {\chi _B}P_B^o\, = 0.4\, \times \,7\, \times \,{10^3}\, + \,0.6\, \times \,12\, \times \,{10^3}\, = \,{10^4}\) \(0.4\, \times \,7\, \times \,{10^3}\, = \,{Y_A}\, \times \,{10^4}\) \({Y_A}\, = \,0.28\)…

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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