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JEE Main 202313 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
13 April
Shift
Morning Shift
Subject
Chemistry
Chapter
Ionic Equilibrium

JEE Main 2023 · 13 April · Morning Shift · Chemistry · Ionic Equilibrium

25 . 0mL of 0 . 050MBa ( NO _ 3 ) _ 2 is mixed with 25 . 0mL of 0 ....

25 . 0mL of 0.050MBa(NO3)20 . 050MBa{\left({NO}_{3}\right)}_{2} is mixed with 25.0mLof0.020MNaF.KspofBaF225 . 0mL of 0 . 020MNaF . {K}_{sp} of {BaF}_{2} is 0.5×10–60 . 5 \times 10 – 6 at 298K.298K . The ratio of \left[{Ba}^{2 +}\right]{\left[{F}^{-}\right]}^{2} and {K}_{sp}isis______ .

Correct answer

5

Step-by-step solution

Given:

Volume of Ba(NO3)2Ba ( {NO}_{3}{)}_{2} solution = 25.025 . 0mL Concentration of Ba(NO3)2Ba ( {NO}_{3}{)}_{2} solution = 0.0500 . 050M Volume of NaFNaF solution = 25.025 . 0mL Concentration of NaFNaF solution = 0.0200 . 020M

\left[{Ba}^{+ 2}\right] = \left(\dfrac{25 \times 0 . 05}{50}\right) = 0 . 025M</p><p>[F−]=(25×0.0250)=0.01M</p><p>\left[{F}^{-}\right] = \left(\dfrac{25 \times 0 . 02}{50}\right) = 0 . 01M

\left[{Ba}^{+ 2}\right] \left[{F}^{-}\right] = 25 \times {10}^{- 7}</p><p></p><p>{K}_{sp} = 0 . 5 \times {10}^{- 6} = 5 \times {10}^{- 7}</p><p>Ratio=</p><p>Ratio=\dfrac{\left[{Ba}^{+ 2}\right]\left[{F}^{-}\right]}{{K}_{sp}} = \dfrac{25 \times {10}^{- 7}}{5 \times {10}^{- 7}} = 5$

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