The solubility of Sr(OH)2 at 298 K is 19.23 g/L of solution. Calculate the concentrations of strontium and hydroxyl ions and the pH of the solution.


Given:

Solubility of Sr(OH)2 = 19.23 g/L


Molar mass of Sr(OH)2 = 87.6 + 34 = 121.6 g/mol


To calculate concentration of Sr(OH)2, we apply the formula,


Concentration=


[Sr(OH)2] =


[Sr(OH)2] = 0.1581 M


Ionisation of Sr(OH)2


Sr(OH)2 Sr2+ + 2(OH-)


As it is completely ionised,


[Sr2+] = 0.1581 M


[OH-] = 2× 0.1581 = 0.3126M


Thus, the concentration of strontium and hydroxyl ions are 0.1581 and 0.3126


Now,


Kw = [OH-][H+]


Using the formula, we write


[H+] =


As the value of Kw is taken as 10-14


[OH-]= 0.3126 M (calculated)


[H+] =


[H+] = 3.2 × 10-14 M


To calculate pH of the solution, we apply the formula,


pH= -log(H+)


pH= -log (3.2 × 10-14)


pH = -log 3.2 – (-14) log 10


pH= 13.49


Thus, the pH of the solution is 13.49


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