MCQ
By adding $20\,ml$ $0.1\,N\,HCl$ to $20\,ml$ $0.001\,N\,$ $KOH,$ the $ pH$ of the obtained solution will be
  • A
    $2$
  • $1.3$
  • C
    $0$
  • D
    $7$

Answer

Correct option: B.
$1.3$
(b) $ 20 \,ml. $ of $0.1 \,N\,HCl =$ $\frac{{0.1}}{{1000}} \times 20\,g$ eq. = $2 \times {10^{ - 3}}g$ eq.

$20\,ml. $ of $0.001\, KOH = $ $\frac{{0.001}}{{1000}} \times 20\,gm$ eq.

$= 2 ×$  ${10^{ - 5}}\,g$ eq.

$\therefore $ $HCl $ left unneutralised = $2({10^{ - 3}} - {10^{ - 5}})$

$ = 2 \times {10^{ - 3}}(1 - 0.01)$ = $2 \times 0.99 \times {10^{ - 3}}$$ = 1.98 \times {10^{ - 3}}\,g\,eq.$

Volume of solution $= 40 \,ml.$ $ [HCl] =$ $\frac{{1.98 \times {{10}^{ - 3}}}}{{40}} \times 1000M$ = $4.95 \times {10^{ - 2}}$

$\therefore $ $pH = $ $2 - $ $log \,4.95 = 2 -0.7 = 1.3.$

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