Which solution below has the highest concentration of hydroxide ions?

Which solution below has the highest concentration of hydroxide ions?
A) pH= 3.21
B) pH= 7.00
C) pH= 7.93
D) pH= 12.59
E) pH= 9.82
Please select the best answer from the above multiple choice and explain thanks

Answer

General guidance

Concept and reason

The concept used is to calculate the hydroxide ion concentration.

Fundamentals

is the measure of hydrogen ion concentration. Lower the , higher is the hydrogen ion concentration and lower is the hydroxide ion concentration.

Higher the , lower is the hydrogen ion concentration and higher is the hydroxide ion concentration.

The hydrogen ion concentration is calculated as follows:

[H]=10-PH1

The hydroxide ion concentration and are related as follows:

[H+ ][OH-]=1.0x10-4

Step-by-step

Step 1 of 2

1.

Consider pH = 3.21

Calculate the hydroxide ion concentration.

[H]=10 PHI
= 10-3.21
=6.17X10
M

Calculate the hydroxide ion concentration.

[H+ ][OH-]=1.0x10-
(6.17x104)[OH-] =1.0x10-14
Toh)1.0x10-14
[OH ]-6,17x104
= 1.62x10-11 M

Consider pH = 7.00

Calculate the hydroxide ion concentration.

[H]=10 PHI
= 10-7.00
= 1.0x10-7M

Calculate the hydroxide ion concentration.

[v+][OH-]=1.0x10-14
(1.0x10*)[OH-]=1.0x10-
[OH-] = 1.0*10-44
LOH] 1.0x10-7
=1.0x10-7M

Consider pH = 7.93

Calculate the hydroxide ion concentration.

[H* )=10-
= 10-793
= 1.17x10- M

Calculate the hydroxide ion concentration.

[v+][OH-] = 1.0x10-14
(1.17x10*)[oh ]=1.0x10-14
Toh-)_ 1.0x10-44
[OH-] 1.17x10%
= 8.5x10-M

Consider pH = 9.82

Calculate the hydroxide ion concentration.

[H+]=10 PM
= 109.82
= 1.5x10-0 M

Calculate the hydroxide ion concentration.

[v+][OH-] = 1.0x10-
(1.5x10)[0H-]=1.0x10
[oH ]- 1.5x10-10
= 6.6x10-SM

The given solutions with these values are having lower concentrations of hydroxide ion.

[Hint for the next step]

Identify the highest hydroxide ion concentration.

Step 2 of 2

Consider pH = 12.59

Calculate the hydroxide ion concentration.

[**]=10-01
= 10-12.99
= 2.6x10-13 M

Calculate the hydroxide ion concentration.

[v+][OH-] = 1.0x10-16
(2.6x10*)[OH]=1.0x10***
[OH-] = 1.0x10-
LOH] 2.6x10-13
= 3.9x10-2 M

Part 1

Therefore, the solution with highest hydroxide ion concentration is pH = 12.59.


The given solution with this value is having highest concentration of hydroxide ion.

Answer

Part 1

Therefore, the solution with highest hydroxide ion concentration is pH = 12.59.

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