The acidity of an aqueous solution depends on the number of?H+?ions in solution
The?pH?is defined as:
pH = -log[H+]
where [H+] is the concentration of hydrogen ions in mol dm–3
Similarly, the?concentration?of?H+?of a solution can be calculated if the pH is known by rearranging the above equation to:
[H+] = 10-pH
The pH scale is a logarithmic scale with base 10
This means that each value is 10 times the value below it. For example, pH 5 is 10 times more acidic than pH 6.
pH values are usually given to 2 decimal places
The relationship between concentration is easily seen on the following table
pH & [H+] Table
pH & Hydrogen Ion Concentration
Worked Example
pH and H+?calculations
Question 1:?Find the pH when the hydrogen concentration is 1.60 x 10-4?mol dm-3
Question 2:?Find the hydrogen concentration when the pH is 3.10
Answer
Answer 1:
The pH of the solution is:
pH? = -log[H+]
= -log 1.6 x 10-4
= 3.80
Answer 2:
The hydrogen concentration can be calculated by rearranging the equation for pH
pH? ?= -log[H+]
[H+] = 10-pH
= 10-3.10
= 7.94 x 10-4?mol dm-3
Worked Example
Powers of 10
10.0 cm3?of an aqueous solution of an acid of pH = 1.0 is mixed with 990.0 cm3?of distilled water. What is the pH of the final solution?
A.??1
B.??2
C.??3
D.??10
Answer
The correct option is?C.
The total volume after dilution is 1000.0 cm3?so the concentration of H+?has been?reduced?by a factor of 100 or 10-2, which means an increase of 2 pH units
The final solution is therefore?pH 3
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