Explanation :
Solution for part (a) :
Concentration of
=
As we know that,
![[H^+][OH^-]=10^{-14}](https://tex.z-dn.net/?f=%5BH%5E%2B%5D%5BOH%5E-%5D%3D10%5E%7B-14%7D)
Now put the value of concentration of hydrogen ion, we get concentration of hydroxide ion.
![(8.0\times 10^{-13})\times [OH^-]=10^{-14}](https://tex.z-dn.net/?f=%288.0%5Ctimes%2010%5E%7B-13%7D%29%5Ctimes%20%5BOH%5E-%5D%3D10%5E%7B-14%7D)
![[OH^-]=1.25\times 10^{-2}M](https://tex.z-dn.net/?f=%5BOH%5E-%5D%3D1.25%5Ctimes%2010%5E%7B-2%7DM)
From this we conclude that, the concentration of hydroxide ion is more than the hydrogen ion that means the solution is basic in nature.
Solution for part (b) :
Concentration of
=
As we know that,
![[H^+][OH^-]=10^{-14}](https://tex.z-dn.net/?f=%5BH%5E%2B%5D%5BOH%5E-%5D%3D10%5E%7B-14%7D)
Now put the value of concentration of hydroxide ion, we get concentration of hydrogen ion.
![[H^+]\times (4.0\times 10^{-7})=10^{-14}](https://tex.z-dn.net/?f=%5BH%5E%2B%5D%5Ctimes%20%284.0%5Ctimes%2010%5E%7B-7%7D%29%3D10%5E%7B-14%7D)
![[H^+]=0.25\times 10^{-7}M](https://tex.z-dn.net/?f=%5BH%5E%2B%5D%3D0.25%5Ctimes%2010%5E%7B-7%7DM)
From this we conclude that, the concentration of hydrogen ion is more than the hydroxide ion that means the solution is acidic in nature.
Solution for part (c) :
Concentration of
=
As we know that,
![[H^+][OH^-]=10^{-14}](https://tex.z-dn.net/?f=%5BH%5E%2B%5D%5BOH%5E-%5D%3D10%5E%7B-14%7D)
Now put the value of concentration of hydroxide ion, we get concentration of hydrogen ion.
![[H^+]\times (3.0\times 10^{-3})=10^{-14}](https://tex.z-dn.net/?f=%5BH%5E%2B%5D%5Ctimes%20%283.0%5Ctimes%2010%5E%7B-3%7D%29%3D10%5E%7B-14%7D)
![[H^+]=0.25\times 10^{-7}M](https://tex.z-dn.net/?f=%5BH%5E%2B%5D%3D0.25%5Ctimes%2010%5E%7B-7%7DM)
From this we conclude that, the concentration of hydroxide ion is more than the hydrogen ion that means the solution is basic in nature.
Solution for part (d) :
Concentration of
=
As we know that,
![[H^+][OH^-]=10^{-14}](https://tex.z-dn.net/?f=%5BH%5E%2B%5D%5BOH%5E-%5D%3D10%5E%7B-14%7D)
Now put the value of concentration of hydrogen ion, we get concentration of hydroxide ion.
![(8.0\times 10^{-5})\times [OH^-]=10^{-14}](https://tex.z-dn.net/?f=%288.0%5Ctimes%2010%5E%7B-5%7D%29%5Ctimes%20%5BOH%5E-%5D%3D10%5E%7B-14%7D)
![[OH^-]=1.25\times 10^{-2}M](https://tex.z-dn.net/?f=%5BOH%5E-%5D%3D1.25%5Ctimes%2010%5E%7B-2%7DM)
From this we conclude that, the concentration of hydrogen ion is more than the hydroxide ion that means the solution is acidic in nature.