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JEE Main 202313 AprilEvening Shift
Exam
JEE Main
Year
2023
Date
13 April
Shift
Evening Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2023 · 13 April · Evening Shift · Chemistry · Solutions

Sea water contains 29 . 25 % NaCl and 19 % MgCl _ 2 by weight of...

Sea water contains 29.2529 . 25 % NaCl and 1919 % {MgCl}_{2} by weight of solution. The normal boiling point of the sea water is C∘C ∘ (Nearest integer) Assume 100100 % ionization for both NaClNaCl and MgCl2{MgCl}_{2} Given: Kb{K}_{b}\left({H}_{2}O = 0 . 52Kkg{mol}^{- 1}\right)MolarmassofMolar mass ofNaClandand{MgCl}_{2}isis58 . 5andand95g {mol}^{- 1} respectively.

Correct answer

0

Step-by-step solution

Molality of solution=molesofsolutemassofsolvent×1000= \dfrac{molesofsolute}{massofsolvent} \times 1000

Number of moles NaCl=29.2558.5=0.5NaCl = \dfrac{29 . 25}{58 . 5} = 0 . 5

Number of moles of MgCl2=1995=0.2{MgCl}_{2}= \dfrac{19}{95} = 0 . 2

NaCl=0.551.75×1000NaCl = \dfrac{0 . 5}{51 . 75} \times 1000

MgCl2=0.251.75×1000{MgCl}_{2} = \dfrac{0 . 2}{51 . 75} \times 1000

\left({\Delta T}_{b}\right) = \left\{\left({i}_{1}{m}_{1}\right) + \left({i}_{2}{m}_{2}\right)\right\}{k}_{b}</p><p></p><p>∆ {T}_{b}=Elevationinboilingpoint</p><p>= Elevation in boiling point</p><p>i =Van′tHofffactor</p><p>m=molality</p><p>Van't Hoff factor</p><p>m = molality</p><p>{k}_{b}=molalelevationconstant</p><p>= molal elevation constant</p><p>∆ {T}_{b =}\left(\dfrac{2 \times 0 . 5 \times 1000}{51 . 75} \times \dfrac{3 \times 0 . 2 \times 1000}{51 . 75}\right) \times 0 . 52</p><p></p><p>= 16 . 077</p><p>Boilingpointofseawater</p><p></p><p>Boiling point of sea water</p><p>= 116 . 077 ° C</p><p></p><p>\approx 116 ° C (Nearest integer)

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