pH of aqueous solution of potassium hydroxide at 298 K temperature is 11.65. The initial volume of this solution is made 6 times by addition of water. What will be the pH of the diluted solution ?
Page 152 Chapter - 7.Acids, Bases and Salts
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Answer:
pH of aqueous solution of potassium hydroxide at 298 K temperature is 11.65. The initial volume of this solution is made 6 times by addition of water. What will be the pH of the diluted solution ?
Dear student,
◆ Answer -
pH' = 10.87
● Explaination -
pOH of KOH solution is given by formula -
pOH = 14 - pH
pOH = 14 - 11.65
pOH = 2.35
Now, formula for [OH-] is -
pOH = -log[OH-]
2.35 = -log[OH-]
[OH-] = antilog(-2.35)
[OH-] = 4.467×10^-3
When this solution is dilated by 6 times, hydroxyl ion concentration will reduce 6 times.
[OH-]' = [OH-]/6
[OH-]' = 4.467×10^-3 / 6
[OH-]' = 7.445×10^-4
Now pOH' will be -
pOH' = -log[OH-]
pOH' = -log(7.445×10^-4)
pOH' = 3.129
Now, new pH will be -
pH' = 14 - pOH'
pH' = 14 - 3.129
pH' = 10.87
Therefore, pH of the diluted solution will be 10.87.
Thanks dear...