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How many moles of NaOH can be added to `1.0L` solution of `0.10MNH_(3)` and `0.10MN_(4)CI` without changing in volume. `(K_(b)for NH_(3)=1.8xx10^(-5))` |
Answer» For buffer of `NH_(3)` and `NH_(4)CI`, `pOH= -log 1.8xx10^(-5)+log((1)/(1))` `pOH= 4.75` Original `pOH=4.75`, on addition of NaOH, it will change only 1 unit (decrease) i.e., new `pOH= 3.75` or pH will increase from `9.25` to `10.25`. `OH^(-)NH_(4)^(+)rarrNH_(3)+H_(2)O` `:. 3.75= -log 1.8xx10^(-5)+log (([NH_(4)^(+)])/(NH_(3)])` `([NH_(4)^(+)])/([NH_(3)])=0.1` Thus NaOH addition must not change the concentration ration by more than `0.1` i.e., `[NH_(4)^(+)]=0.1[NH_(3)]` ......(1) Initially `[NH_(4)^(+)]+[NH_(3)]=0.1+0.1=0.2` ......(2) By eqs. (1) and (2), `0.1xx[NH_(3)]+[NH_(3)]=0.2` `:. [NH_(3)]=0.182` `:. [NH_(4)^(+)]=0.018` Thus new solution must have `[NH_(4)^(+)]=0.018` in place of `0.10`. Therefore additio of `0.1-0.82` mole of NaOH be made. |
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