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Which statement best describes the difference between a substance with a pH of 3.0 and a substance with a pH of 6.0?(1 point)

The substance with the higher pH has twice as many hydrogen ions per volume of water.


The substance with the lower pH has 1,000 times as many hydrogen ions per volume of water.


The substance with the higher pH has 1,000 times as many hydrogen ions per volume of water.


The substance with the lower pH has twice as many hydrogen ions per volume of water.


Sagot :

We are required to find the statement which best describes the difference between a substance with a pH of 3.0 and a substance with a pH of 6.0?(

The substance with the lower pH (i.e pH 3.0) has 1,000 times as many hydrogen ions per volume of water as compared to the substance with pH of 6.0



pH is a measure of the hydrogen ion concentration of substance and is given by the formular,

pH = -log{H+}

Therefore, for a substance with pH 3.0, the hydrogen ion concentration is 0.001M.

Also, for a substance with pH 6.0, the hydrogen ion concentration is 0.000001M.

Inference from the statements above therefore suggests that the substance with pH 3.0 has 1000 times as many hydrogen ions per volume of water.

Therefore, the statement that best describes the difference between the two substances is,

The substance with the higher pH has 1,000 times as many hydrogen ions per volume of water.

Read more:

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Answer:

The statement which best describes the difference between a substance with a pH of 3.0  and a substance with a pH of 6.0 is “The substance with the lower pH has 1000 times as many hydrogen ions per volume of water.” So, the correct answer is option (b).

Explanation:

The reason for the above answer is that:

• According to the definition, the formula for pH is:

[tex]$\text{pH}=-{{\log }_{10}}\text{ }\!\![\!\!\text{ }{{\text{H}}^{+}}]$[/tex]

So, a solution having a pH value 1  is ten times more acidic than a solution having a pH value 2 .

• The hydrogen ions when the pH of the solution is $3$  will be:

[tex]$\text{pH}=-{{\log }_{10}}[{{\text{H}}^{\text{+}}}]$[/tex]

[tex]$3=-{{\log }_{10}}[{{\text{H}}^{+}}]$[/tex]

[tex]${{\text{ }\!\![\!\!\text{ }{{\text{H}}^{+}}]}_{3}}={{10}^{-3}}\text{mol}\ {{\text{L}}^{-1}}$[/tex]

• The hydrogen ions when the pH of the solution of $6$  will be:

[tex]$\text{pH}=-{{\log }_{10}}[{{\text{H}}^{\text{+}}}\text{ }\!\!]\!\!\text{ }$[/tex]

[tex]$6=-{{\log }_{10}}[{{\text{H}}^{+}}]$[/tex]

[tex]${{[{{\text{H}}^{+}}]}_{6}}={{10}^{-6}}\text{mol}\ {{\text{L}}^{-1}}$[/tex]

• Now, the ratio of hydrogen ions at pH 3.0  and pH 6.0  will be:[tex]$[{{\text{H}}^{\text{+}}}]=\frac{{{\text{ }\!\![\!\!\text{ }{{\text{H}}^{\text{+}}}]}_{3}}}{{{[{{\text{H}}^{\text{+}}}]}_{6}}}$[/tex]

[tex]$[{{\text{H}}^{\text{+}}}]=\frac{{{10}^{-3}}}{{{10}^{-6}}}$[/tex]

[tex]$[{{\text{H}}^{\text{+}}}]=1000$[/tex]

Thus, it is clear from the above calculations that the statement which describes the difference in the pH 3.0  and pH 6.0  of a substance is: “The substance with the lower pH has 1000  times as many hydrogen ions per volume of water.”  

So, the correct statement is option (b).

Learn more about the pH of a substance here:

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