What is the pH of a solution prepared by dissolving 1.4 g of Ca(OH)2 in water to make 930. mL of solution?
Express your answer using two decimal places.
Molar mass of Ca(OH)2,
MM = 1*MM(Ca) + 2*MM(O) + 2*MM(H)
= 1*40.08 + 2*16.0 + 2*1.008
= 74.096 g/mol
mass(Ca(OH)2)= 1.4 g
use:
number of mol of Ca(OH)2,
n = mass of Ca(OH)2/molar mass of Ca(OH)2
=(1.4 g)/(74.1 g/mol)
= 1.889*10^-2 mol
volume , V = 9.3*10^2 mL
= 0.93 L
use:
Molarity,
M = number of mol / volume in L
= 1.889*10^-2/0.93
= 2.032*10^-2 M
So,
[OH-] = 2*[Ca(OH)2]
= 2*2.032*10^-2 M
= 4.064*10^-2 M
use:
pOH = -log [OH-]
= -log (4.064*10^-2)
= 1.391
use:
PH = 14 - pOH
= 14 - 1.391
= 12.609
Answer: 12.61
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