MCQ
The dissociation of water at ${25\,^o}C $ is $1.9 \times {10^{ - 7}}\% $ and the density of water is $1.0\,g/c{m^3}.$ The ionisation constant of water is
  • A
    $3.42 \times {10^{ - 6}}$
  • B
    $3.42 \times {10^{ - 8}}$
  • C
    $1.00 \times {10^{ - 14}}$
  • $2.00 \times {10^{ - 16}}$

Answer

Correct option: D.
$2.00 \times {10^{ - 16}}$
(d) $\alpha = 1.9 \times {10^{ - 9}}$; $C = \frac{{1000}}{{18}}$

$K = \frac{{[{H^ + }]\,\,[O{H^ - }]}}{{({H_2}O)}} = C{\alpha ^2}$

$ = 1.9 \times {10^{ - 9}} \times 1.9 \times {10^{ - 9}} \times \frac{{1000}}{{18}}$$ = 2.0 \times {10^{ - 16}}$.

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