\(25^{\circ}\,C\) પર ગ્લુકોઝના \(30\% (w/v)\) જલીય દ્વાવણ નું બાષ્પ દબાણ \(.........\,mm\,Hg\) છે.(આપેલઃ ગ્લુકોઝના \(30 \%\) (w/v) જલીય દ્વાવણની ધનતા \(1.2\,g\,cm ^{-3}\) છે અને શુદ્ધ પાણીનું બાષ્પ દબાણ \(24\,mm\,Hg\) છે) (ગ્લુકોઝનું મોલર દળ \(180\,g\,mol ^{-1}\) છે.)

A \(23\)
B \(22\)
C \(21\)
D \(24\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(23\)

Step-by-step Solution

Detailed explanation

\(\frac{24- P _{ s }}{ P _{ s }}=\frac{ m \times 18}{1000}\) wt of solute \(=30\,gm\) Volume of solution \(=100\,mL\) wt. of solution \(=1.2 \times 100=120\,gm\) wt. of solvent \(=120-30=90\,gm\) \(m =\frac{30 \times 1000}{180 \times 90}=1.85\)…

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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