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JEE Main 202117 MarchEvening Shift
Exam
JEE Main
Year
2021
Date
17 March
Shift
Evening Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2021 · 17 March · Evening Shift · Chemistry · Solutions

A 1 molal K _ 4 Fe ( CN ) _ 6 solution has a degree of dissociation...

A 11 molal K4Fe(CN)6{K}_{4}Fe ( CN{)}_{6} solution has a degree of dissociation of 0.4.0 . 4 . Its boiling point is equal to that of another solution which contains 18.118 . 1 weight percent of a non electrolytic solute AA. The molar mass of AA is _____ u. (Round off to the Nearest Integer). [Density of water \left= 1 . 0g{cm}^{- 3}\right]

Correct answer

0

Step-by-step solution

K4Fe(CN)6⇌4K++Fe(CN)64−{K}_{4}Fe ( CN{)}_{6} ⇌ 4{K}^{+} + Fe ( CN{)}_{6}^{4 -}

{Initialconc.1m00\begin{cases}Initialconc . 1m & 0 & 0\end{cases}

{Final conc.(1−0.4)m4×0.4m0.4m\begin{cases}\text{Final conc.} & ( 1 - 0 . 4 ) m & 4 \times 0 . 4m & 0 . 4m\end{cases}

=0.6m=1.6m=0.4m= 0 . 6m = 1 . 6m = 0 . 4m

Effective molality =0.6+1.6+0.4=2.6m= 0 . 6 + 1 . 6 + 0 . 4 = 2 . 6m

For same boiling point, the molality of another solution should also be 2.6m2 . 6m.

Now, 18.118 . 1 weight percent solution means

18.1gm18 . 1gm solute is present in 100gm100gm solution and hence, (100−18.1=)81.9gm( 100 - 18 . 1 = ) 81 . 9gm water. Now, 2.6=18.1/M81.9/10002 . 6 = \dfrac{18 . 1 / M}{81 . 9 / 1000}

∴∴ Molar mass of solute, M=85M = 85

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