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At infinite dilution, molar conductivity...

At infinite dilution, molar conductivity of acetic acetic acid solution at a given temperature is `"390 ohm"^(-1)."cm"^(2)."mol"^(-1)`. At the same temperature, molar conuctivity of 0.001(M) acetic acid solution is `"55 ohm"^(1)."cm"^(2)."mol"^(-1)`. What is the pH of 0.001(M) acetic acid solution?

Text Solution

Verified by Experts

Using the relation `alpha =(Lambda_(m))/(Lambda_(m)^(@))` for calculating the degree of dissociation, We have, `alpha=(55)/(390)=0.14`
In an aqueous solution of `CH_(3)COOH` (a monobasic acid), `[H_(3)O^(+)]=c alpha`
Therefore, the value of `[H_(3)O^(+)]=0.001xx0.14=1.4xx10^(-4)(M)`
and pH of the solution
`=-log_(10)[H_(3)O^(=)]=-log_(10)(1.4xx10^(-4))=3.85`
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