આપેલા દ્રાવકમાં અણુ \(M\) એ સમીકરણ \(M\, \rightleftharpoons \,{(M)_n}\) તરીકે સુયોજન પામે છે. \(M\) ની ચોક્કસ સાંદ્રતા માટે , વોન્ટ હોફ અવયવ \(0.9\) મળે છે અને સુયોજિત અણુઓનો અંશ \(0.2\) મળે છે , તો \(n\) નુ મૂલ્ય જણાવો.

A \(3\)
B \(5\)
C \(2\)
D \(4\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(2\)

Step-by-step Solution

Detailed explanation

van't Hoff factor \((i)\) and the degree of association are related as below : \(i\, = \,1\, - \,\alpha \,\left( {1 - \,\frac{1}{n}} \right)\) \(0.9\, = \,1 - \,0.2\,\left( {1 - \frac{1}{n}} \right)\) On solving, \(\,\left( {1 - \frac{1}{n}} \right)\, = \,\frac{1}{2}\)…

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.

Same subject

સૂચી \(- I\) સાથે સૂચી \(- II\) ને જોડો

સૂચી \(- I\) ઓક્સાઈડ	સૂચી \(- II\) (પ્રકૃતિ)
\((A)\) \(Cl _{2} O _{7}\)	\((I)\) ઉભયગુણી
\((B)\) \(Na _{2} O\)	\((II)\) બેઝિક
\((C)\) \(Al _{2} O _{3}\)	\((III)\) તટસ્થ
\((D)\) \(N _{2} O\)	\((IV)\) એસિડીક

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