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  4. A certain buffer solution contains equal concentration of X- and HX. The Kb for X- is 10 - 10 . The pH of the buffer is

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Q. A certain buffer solution contains equal concentration of $ X^-$ and $HX$. The $K_b$ for $X^- $ is $ 10^{ - 10 } $ . The pH of the buffer is

IIT JEEIIT JEE 1984Equilibrium

Solution:

$ K_a ( HX) = \frac{ k_w }{ K_b } = 10^{ - 4} $
$pH = pK_a + \log \frac{ [ X^- ]}{ [ HX ]} $
$\Rightarrow pK_a = 4$ $[ \because [ X^- ] = [ HX ]]$