1.

Two buffer, (X) and (Y) of pH `4.0` and `6.0` respectively are prepared from acid HA and the salt NaA. Both the buffers are `0.50` M in HA. What would be the pH of the solution obtained by mixing equal volumes of the two buffers ? `(K_(HA)=1.0xx10^(-5))`

Answer» pH of buffer is given by:
`pH= -log K_(a)+log ((["Salt"])/(["Acid"]))`
For I: `4= - log 1.0xx10^(-5)+log ((["Salt"])/([0.5]))`
`:. Log ((["Salt"])/(0.5))= -1`
or `["Salt"]= 0.1xx0.5=0.05M`
For II: `6= - log 1.0xx10^(-5)+log ((["Salt"])/(0.5))`
`:. log ((["Salt"])/(0.5))=1`
`:. ["Salt"]= 10xx0.5=5M`
Now the two buffer `[(I NaA = 0.05M and HA = 0.5M)` and II `(NaA= 5M and HA= 0.5M)]` are mixed in equal proportion.
Thus, new conc. of NaA is mixed buffer
`=(0.05xxV+5xxV)/(2V)=(5.05)/(2)`
New conc. of HA in mixed buffer
`=(0.5xxN+0.5xxV)/(2V)=0.5M`
Thus, `pH= -log 1.0xx10^(-5)+log (([5.05//2])/([0.5]))`
`pH=5+0.7033= 5.7033`


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