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Equivalent, Molar Conductivity and Cell Constant

When 10mL o...

Question

When $10 m L$ of $0.1 M$ acetic acid $(p K_{b} = 5)$ is titrated against $10 m L$ of $0.1 M$ ammonia solution $(p K_{b} = 5)$ , the equivalent point will occur at pH:

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Solution

The correct option is D $7$
$C H_{3} C O O H + N H_{4} O H \to C H_{3} C O O N H_{4} + H_{2} O$
At equivalence point $p H = 7 + 0.5 (p K_{a} - p K_{b})$
$p H = 7 + 0.5 (5 - 5) = 7$

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