Calculate the pH of each of the following solutions, and indicate whether the solution is acidic or basic. 1. [H3O+ ] = 9.5 x 10-9 M 2. [H3O+ ] = 6.1 x 10-3 M 3. [OH- ] = 1.3 x 10-2 M

Answer :

Answer: 1. pH= 8.0, basic

2. pH= 2.2, acidic

3. pH=12.1, basic

Explanation:

pH or pOH is the measure of acidity or alkalinity of a solution.

pH is calculated by taking negative logarithm of hydrogen ion concentration.

Acids have pH ranging from 1 to 6.9, bases have pH ranging from 7.1 to 14 and neutral solutions have pH equal to 7.

1. [tex][H_3O^+]=9.5\times 10^{-9}[/tex]

[tex]pH=-\log [H_3O^+][/tex]

Putting in the values:

[tex]pH=-\log[H_3O^+]

[tex]pH=-\log[9.5\times 10^{-9}]=8.0/tex]

Solution is basic.

2. [tex][H_3O^+]=6.1\times 10^{-3}[/tex]

[tex]pH=-\log [H_3O^+][/tex]

Putting in the values:

[tex]pH=-\log[6.1\times 10^{-3}]=2.2/tex]

Solution is acidic.

3. [tex][OH^-]=1.3\times 10^{-2}[/tex]

[tex]pOH=-\log [OH^-][/tex]

Putting in the values:

[tex]pOH=-\log[1.3\times 10^{-2}]=1.9[/tex]

pH+pOH=14

pH=14-1.9=12.1

Solution is basic

Following are the solution to the PH values:

Given:

[tex]\to [H_3O^+ ] = 9.5 \times 10^{-9}\ M \\\\[/tex]

[tex]\to [H_3O^+ ] = 6.1 \times 10^{-3}\ M \\\\[/tex]

[tex]\to [OH^- ] = 1.3 \times 10^{-2}\ M[/tex]

To find:

base / acidic=?

Solution:

For point 1:  

[tex]\to PH= -\log [H_3 O^{+}]\\\\[/tex]

           [tex]=-\log(9.5 \times 10^{-9})\\\\=8.022 \\\\[/tex]

Therefore [tex]PH> 7 \to[/tex] it is base.

For point 2:

[tex]\to POH= -\log [H_3 O^{+}]\\\\[/tex]

              [tex]=-\log(6.1 \times 10^{-3})\\\\=2.214 \\\\[/tex]

Therefore [tex]PH< 7 \to[/tex] it is acid.

For point 3:

[tex]\to PH= -\log [OH^{-}]\\\\[/tex]

           [tex]=-\log(1.3 \times 10^{-2})\\\\=2- \log 1.3 \\\\=2 -0.1139433523\\\\= 1.88605664769\\\\[/tex]

[tex]\therefore[/tex]

[tex]\to PH+POH=14\\\\\to PH=14 - POH\\[/tex]

           [tex]= 14- 1.88605664769\\\\= 12.1139433523\\\\\therefore,[/tex]

[tex]PH> 7 \to[/tex] it is base.

Therefore, the answer is "base, acid, and base".

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