Definition of $pH$ and $pOH$

Tutorial 5

        

Ionization of water, pH and pOH definition $ [\; ] $ Denotes molarity = concentration in mole per liter $ H_3O^+ $ is the hydronium ion $ OH^- $ is the hydroxide ion Ionization of water $ 2H_2O $ $ \leftrightarrows $ $H_3O^+ $ $ + $ $OH^- $ $ [H_3O^+] [OH^-] $ $ = $ $ 10^{-14} $ $ = $ $ K_e $ This relationship is valid both for pure water and for any dilute aqueous solution STP Definition of pH $pH$ $=$ $-log[H_3O^+]$ so: $[H_3O^+]$ $=$ $10^{-pH}$ Definition of pOH $pOH$ $=$ $-log[OH^-]$ so: $[OH^-]$ $=$ $10^{-pOH}$ Relation between pH and pOH $pOH$ $+$ $pOH$ $=$ $14$ This relationship holds for both pure water and any dilute aqueous solution STP

What is the correct relationship between $pH$, $pOH$, $[H^+]$ and $[OH^-]$ ?

i) $pH$ $ =\frac{14}{pOH}$ ii) $[H^+]$ $ =$ $-log(pH)$ iii) $[OH^-]$ $ =$ $\frac{K_e}{10^{-pH}}$ iv) $pOH$ $=$ $- log\frac{K_e}{H^+}$

a) i) b) ii) c) iii) d) iv)

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