1.

The ionisation constant of chloroacetic acid is 1.35xx10^(-3) .What will be the pH of 0.1 M acid and its 0.1 M sodium salt solution ?

Answer»

Solution :PH of 0.1 M chloroacetic ACID `(ClCH_2COOH)` : This is a weak acid and suppose x M of 0.1 M is ionised and equilibrium is established.
So At equilibrium `x=[H_3O^+] = [ClCH_2COO^-]`
`{:(,ClCH_2COOH_((aq)) +H_2O_((l)) hArr , ClCH_2COO_((aq))^(-) + , H_3O_((aq))^(+)),("At equilibrium" , 0.1 M, 0.0 , 0.0),(,(0.1 -x)M,x M, xM),(,approx 0.1, ,):}`
`K_a=([ClCH_2COO^(-)][H_3O^+])/([ClCH_2COOH])`
`therefore 1.35 xx 10^(-3) =((x)(x))/0.1`
`therefore x^2=1.35xx10^(-4)`
`therefore x=1.162xx10^(-2)M=[H_3O^+]`
pH=log `[H^+]`
`=-log (1.162xx10^(-2))`
=-(0.0652-2)
=1.9348 `approx` 1.93
`therefore` pH of this weak base is 1.93
Acid `ClCH_2COOH` and SALT `ClCH_2COONa` present in solution so solution is buffer. The pH of this buffer is calculate by following equation.
`pH=pK_a + "log"([A^-])/([HA])`
`[A^-]=[ClH_2COO^-]=0.1`
[HA]=`[ClCH_2COOH]`=0.1
where `pK_a=-log (K_a)`
=-log `(1.35xx10^(-3))`
=2.8690
pH=2.869 +log `(0.1/0.1)`=2.869


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