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Calculate pH of the mixture ( 50 mL of...

Calculate pH of the mixture ( 50 mL of 0.05 M `NH_(4)OH + 50` mL of `0.05` M `CH_(3)COOH`) Given that `K_(a) = 1.8 xx 10^(-5)` , and `K_(b) = 1.8 xx10^(-5)`

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` {:(,NH_(4)OH,+,CH_(3)COOH,to,CH_(3)COONH_(4),+,H_(2)O),("Intial mili moles",50 xx0.05,,50xx0.05 ,,0,,0),("Final mili moles ",0,,0,,2.5,,2.5):}`
As salt is formed ( salt of weak acid and weak base ) and pH will be decided buy salt hydrolysis
` pH = (pK_(w)+pK_(a) -pK_(a))/2 `
` =1/ 2 ( - log 10^(-14) - log 1.8 xx 10^(-5) + log 1.8 xx10^(-5))`
` = 7 `
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