A more rigorous theory of $pH$

Mathematical treatment

Exercise 6

    

Solve the systems obtained in →   the previous exercise !

a) Equation of the second degree, variable: $[H_3O^+]$

a) $[H_3O^+]$ $=$ $5\cdot 10^{-1}\frac{mol}{L}$

b) Equation of the second degree, variable: $[OH^-]$)

b) $ [OH^-]$ $=$ $2.639\cdot 10^{-1}\frac{mol}{L}$

c) Find an equation of the 3rd degree with variable $[OH^-]$, then use →   this. Furthermore calculate the $pH$.

c) $pH=11.10$

d) Find an equation of the 3rd degree with variable $[OH^-]$, then use →   this. Furthermore calculate the $pH$.

d) $pH=8.50$