6-2.Equilibrium-II (Ionic Equilibrium)
medium

$25\,^o C$ पर क्षार $BOH  $ का वियोजन स्थिरांक $1.0 \times {10^{ - 12}}$ है क्षार के $0.01 \,M $ जलीय विलयन में हाइड्रॉक्सिल आयनों की सान्द्रता होगी

A

$2.0 \times {10^{ - 6}}$ मोल लीटर$^{ - 1}$

B

$1.0 \times {10^{ - 5}}$ मोल लीटर$^{ - 1}$

C

$1.0 \times {10^{ - 6}}$ मोल लीटर$^{ - 1}$

D

$1.0 \times {10^{ - 7}}$ मोल लीटर$^{ - 1}$

(AIPMT-2005)

Solution

Initial       $BOH\,\,\,\,\rightleftharpoons  \,\,B^+ \,\,\, + \,\, OH^-$

           $\,\,\,\,\,\,\,\,\,C\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,o\,\,\,\,\,\,\,\,\,\,\,o$

At eq.         $C-C \alpha$           $C\alpha$           $C\alpha$

${K_b} = \frac{{{C^2}{\alpha ^2}}}{{C(1 – \alpha )}} = C{\alpha ^2}$ माना कि $\alpha < < 1$;$1 – \alpha \tilde -1$

${10^{ – 12}} = {10^{ – 2}} \times {\alpha ^2}$; ${\alpha ^2} = {10^{ – 10}}$; $\alpha = {10^{ – 5}}$

$[O{H^ – }] = C\alpha = .01 \times {10^{ – 5}} = {10^{ – 7}}$

Standard 11
Chemistry

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