Answer: pH of the solution is 4.81
Explanation:
pH is defined as the negative logarithm of hydrogen or hydronium ion concentration. It is basically the power of hydrogen ions.
Mathematically,
[tex]pH=-\log[H^+][/tex]
We are given:
[tex][OH^-]=6.4\times 10^{-10}[/tex]
To calculate pH, we first calculate pOH of the solution and then subtract it from 14.
[tex]pOH=-\log[OH^-][/tex]
Putting the value of hydroxide ion concentration in above equation, we get:
[tex]pOH=-\log(6.4\times 10^{-10})=9.19[/tex]
Now, using the below equation:
[tex]pH+pOH=14[/tex]
[tex]\Rightarrow pH+9.19=14\\\\\Rightarrow pH=4.81[/tex]
Hence, pH of the solution is 4.81
