At 25^{circ} C, the concentration of H ^{+}io | vedclass

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Question

Because concentration of $H +$ from weak acid is less we need to consider self ionization of $H _2 O$ also.
$HX ( aq ) \rightleftharpoons H ^{+}+ X ^

Vedclass · Accepted Answer

$2.23$ or $2.24$

Vedclass · Answer

Because concentration of $H +$ from weak acid is less we need to consider self ionization of $H _2 O$ also.
$HX ( aq ) ightleftharpoons H ^{+}+ X ^{-}( aq )$
$10^{-3}- x \quad x + y \quad x$
$H _2 O ( l ) ightleftharpoons H ^{+}( aq )+ OH ^{-}( aq )$
$ \quad x+y \quad y$
$	ext { Approximation : }\left(10^{-3}-xight) \simeq 10^{-3}$
$\Rightarrow \frac{x(x+y)}{10^{-3}}=K_{a}=4 	imes 10^{-11}.....(1)$
$\Rightarrow y(x+y)=Kw=10^{-14}......(2)$
$	ext { Add }(1)+(2)$
$\Rightarrow \quad(x+y)^2=5 	imes 10^{-14}$
$\Rightarrow x+y=\left[H^{+}ight]=\sqrt{5} 	imes 10^{-7}$
$\Rightarrow x=\sqrt{5}=2.236$
Answer $2.23$ or $2.24 .$

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