MCQ
$20\,ml$ of $0.5\,N\,HCl$ and $35\,ml$ of $0.1\,N\,NaOH$ are mixed. The resulting solution will
  • A
    Be neutral
  • B
    Be basic
  • Turn phenolphthalein solution pink
  • D
    Turn methyl orange red

Answer

Correct option: C.
Turn phenolphthalein solution pink
(c) $(i)$ $20 \,ml$  of $0.5\, N \,HCl$

$0.5\,N \Rightarrow 1000\,ml\,0.5\,mole\,HCl$ is present in $20\,ml$

$ = \frac{{20 \times 0.5}}{{1000}} = 1.0 \times {10^{ - 2}}$

$(ii)$ $35\, ml$ of $0.1\, N \,NaOH$

$0.1\,N \Rightarrow 1000\,ml$ of $0.1 \,mole $ $NaOH$ is $35 $ $ml$

$ = \frac{{35 \times 0.1}}{{1000}} = 0.35 \times {10^{ - 2}}$

Total $= 20 + 35 = 55\, ml.$

$ \Rightarrow $ $(1.0-0.35)10^{-2}=0.65 \times 10^{-2}$ $mole$ $HCl$

$HCl = H^++Cl^-$

$ \Rightarrow $ $[HCl] = [H^+]+[Cl^-]$

$55 \,ml $ contains $ 0.65 \times 10^{-2} \,mole $ of $H^+ $ ions

$1000\,ml - \frac{{0.65 \times {{10}^{ - 2}} \times {{10}^3}}}{{55}} = \frac{{6.5}}{{55}}$

$pH = - \log [{H^ + }] = - \log (6.5/55)$

$ = \log 55 - \log 6.5 = 0.92$

Due to acidic nature of solutions the colour of phenolphthalein becomes pink.

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