If 0.561 g of KOH is dissolved in water to give 200 mL of solution at 298 K.

Calculate the concentrations of potassium, hydrogen and hydroxyl ions. What is its pH?

Given:

Mass of KOH (m) = 0.561g


Volume(V) = 200 ml = L = 0.2L


Molar mass of KOH (M) = 56 g/mol


To calculate concentration of KOH, we apply the formula,


Concentration=


[KOH] =


[KOH] = 0.05 M


Now, the ionisation of KOH


KOH K + OH-


At equilibrium


[K] = [OH-] = 0.05 M


To calculate [H+], we apply the formula:


Kw = [H+] [OH-]


Where Kw is the ionic product of water which is defined as the product of molar concentration of H+ and OH- ions.


Using the formula, we write


[H+] =


As the value of Kw is taken as 10-14


[OH-]= 0.05 M (calculated)


[H+] =


[H+] = 2.0 × 10-13


Thus, the concentration of potassium, hydrogen, and hydroxyl ions are 0.05, 0.05 and 2.0 × 10-13 respectively


To calculate pH, we apply the formula:


pH = –log [H+]


pH = - log (2.0 × 10-13)


pH = 13- log2


pH = 12.69


Thus, the pH is 12.69


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