Answer : the hydrogen ion concentrations for pH = 7.35 and pH = 7.45 are 4.46 x 10⁻⁸ M and 3.54 x 10⁻⁸ M respectively.
When the pH of a solution is less than 7, the hydrogen ion concentration is higher and therefore the solution is acidic.
On the other hand, when the pH of a solution is greater than 7, hydroxide ion concentration is higher and the solution acts as a base.
The normal pH range of blood is given as 7.35 - 7.45 which is greater than 7. That means blood is slight basic in nature.
Let us find hydroxide ion concentration of blood.
[tex]pH + pOH = 14[/tex]
[tex]7.35 + pOH = 14[/tex]
[tex]pOH = 6.65[/tex]
[tex]pOH = - log [OH-][/tex]
[tex][OH-] = 10^{-6.65}[/tex]
[tex][OH-] = 2.24 \times 10^{-7}[/tex]
Ionic product of water is written as,
[tex][H+] [OH-] = 1 \times 10^{-14}[/tex]
Let us plug in the calculated value of [OH-]
[tex][H+] = \frac{1 \times 10^{-14}}{2.24 \times 10^-7} = 4.46 \times 10^{-8} M[/tex]
The hydrogen ion concentration for pH = 7.35 is 4.46 x 10⁻⁸ M
Calculation of [H+] for pH = 7.45
pOH = 6.55
[OH-] = 2.82 x 10⁻⁷
[tex][H+] = \frac{1 \times 10^{-14}}{2.82 \times 10^-7} = 3.54 \times 10^{-8} M[/tex]
Similarly, for pH = 7.45, we get hydrogen ion concentration of 3.54 x 10⁻⁸ M.