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JEE Advanced 2022Paper 2
Exam
JEE Advanced
Year
2022
Paper
Paper 2
Subject
Chemistry
Chapter
Solutions

JEE Advanced 2022 · Paper 2 · Chemistry · Solutions

An aqueous solution is prepared by dissolving 0 . 1 mole of an...

An aqueous solution is prepared by dissolving 0.10 . 1 mole of an ionic salt in 1.8kg1 . 8kg of water at 35°C35 ° C. The salt remains 9090 % dissociated in the solution. The vapour pressure of the solution is 59.724mm59 . 724mm of HgHg. Vapor pressure of water at 35°C35 ° C is 60.000mm60 . 000mm of HgHg. The number of ions present per formula unit of the ionic salt is _____.

Correct answer

0

Step-by-step solution

Number of ions present per formula unit of ionic salt =x= x

Van 't Hoff factor

\left(i\right) = 1 + \left(n - 1\right)\alpha = 1 + \left(x - 1\right) \times 0 . 9 = 0 . 1 + 0 . 9x</p><p>(Assuming</p><p>(Assuming90 %dissociation)</p><p>dissociation)</p><p>∴RelativeloweringinvapourpressureRelative lowering in vapour pressure= i \timesMolefractionofsolute</p><p>Mole fraction of solute</p><p>⇒ \dfrac{60 - 59 . 724}{60} = \dfrac{i \times 0 . 1}{\dfrac{1800}{18} + 0 . 1}</p><p></p><p>⇒ 0 . 0046 = \dfrac{i \times 0 . 1}{100 + 0 . 1}</p><p></p><p>0 . 0046 \approx \dfrac{\left(0 . 9x + 0 . 1\right) \times 0 . 1}{100}</p><p></p><p>⇒ 0 . 9x + 0 . 1 = 4 . 6</p><p></p><p>⇒ x = \dfrac{4 . 5}{0 . 9} = 5</p><p></p><p>x = 5

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