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JEE Main 202126 AugustMorning Shift
Exam
JEE Main
Year
2021
Date
26 August
Shift
Morning Shift
Subject
Chemistry
Chapter
Chemical Equilibrium

JEE Main 2021 · 26 August · Morning Shift · Chemistry · Chemical Equilibrium

The OH ^ - concentration in a mixture of 5 . 0mL of 0 . 0504M NH _...

The OH−{OH}^{-} concentration in a mixture of 5.0mLof0.0504MNH4Cland2mLof0.0210MNH35 . 0mL of 0 . 0504M{NH}_{4}Cl and 2mL of 0 . 0210M{NH}_{3} solution is x×10−6Mx \times {10}^{- 6}M. The value of xx is (Nearest integer) [Given Kw=1×10−14{K}_{w} = 1 \times {10}^{- 14} and Kb=1.8×10−5]{K}_{b} = 1 . 8 \times {10}^{- 5}]

Correct answer

0

Step-by-step solution

\left[{NH}_{4}Cl\right] = \left[{NH}_{4}^{+}\right] = 0 . 0504MV = 5 . 0mL\left[{NH}_{3}\right] = 0 . 0210MV = 2 . 0mL</p><p></p><p>{K}_{b} = \dfrac{\left[{NH}_{4}^{+}\right]\left[{OH}^{-}\right]}{\left[{NH}_{3}\right]}</p><p>[OH−]=Kb×[NH3][NH4+]=1.8×10−5×0.0210×20.0504×5=3×10−6M</p><p>\left[{OH}^{-}\right] = \dfrac{{K}_{b} \times \left[{NH}_{3}\right]}{\left[{NH}_{4}^{+}\right]} = \dfrac{1 . 8 \times {10}^{- 5} \times 0 . 0210 \times 2}{0 . 0504 \times 5} = 3 \times {10}^{- 6}M

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