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JEE Main 202131 AugustEvening Shift
Exam
JEE Main
Year
2021
Date
31 August
Shift
Evening Shift
Subject
Chemistry
Chapter
Ionic Equilibrium

JEE Main 2021 · 31 August · Evening Shift · Chemistry · Ionic Equilibrium

The pH of a solution obtained by mixing 50mL of 1MHCl and 30mL of...

The pHpH of a solution obtained by mixing 50mLof1MHCland30mLof1MNaOH50mL of 1MHCl and 30mL of 1MNaOH is x×10−4.x \times {10}^{- 4} . The value of xx is (Nearest integer)
[log⁡2.5=0.3979]\left[\log 2 . 5 = 0 . 3979\right]

Correct answer

0

Step-by-step solution

Milli equivalents of HCl(NaVa)=50×1=50HCl\left({N}_{a}{V}_{a}\right) = 50 \times 1 = 50
Milli equivalents of NaOH(NbVb)=30×1=30NaOH\left({N}_{b}{V}_{b}\right) = 30 \times 1 = 30
Since NaVa>NbVb{N}_{a}{V}_{a} > {N}_{b}{V}_{b}
\left[{H}^{+}\right] = \dfrac{{N}_{a}{V}_{a} - {N}_{b}{V}_{b}}{{V}_{a} + {V}_{b}} = \dfrac{50 - 30}{80} = \dfrac{20}{80} = 0 . 25 = 2 . 5 \times {10}^{- 1}<br/><br />pH = - \log \left[{H}^{+}\right] = - \log \left(2 . 5 \times {10}^{- 1}\right) = 1 - 0 . 3979 = 0 . 6021<br/><br />pH \times {10}^{4} = 0 . 6021 \times {10}^{4} = 6021
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