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Question: When the pH of a solution is \(12.83\), what is \([{H^ + }]\)?...

When the pH of a solution is 12.8312.83, what is [H+][{H^ + }]?

Explanation

Solution

The pH is defined as the negative logarithm of hydrogen ion concentration in the solution. This describes the acidity and basicity of the solution. The pH scale contains values from one to fourteen, one being most acidic and fourteen being most basic. The pH value is determined using pH paper, pH meter, etc. The pH value is calculated using the hydrogen ion concentration, if pH is known, the concentration of hydrogen ion can be calculated.

Complete answer:
The pH can be calculated using the formula - pH=−log⁡[H+]pH = - \log [{H^ + }]
Now rearranging the same formula we can calculate the [H+][{H^ + }] , i.e. [H+]=10−pH[{H^ + }] = {10^{ - pH}} , where,
[H+][{H^ + }] - hydrogen ion concentration in solution
10−pH{10^{ - pH}} - ten is the base of power and power being negative of the pH.
Now, putting the given value of pH, we have,
Concentration of hydrogen ion [H+]=10−12.83[{H^ + }] = {10^{ - 12.83}}
Now solving the equation, we have [H+]=1.479108388×10−13 [{H^ + }] = 1.479108388 \times {10^{ - 13}}
Rounding off the calculated value, we have [H+]=1.479×10−13 [{H^ + }] = 1.479 \times {10^{ - 13}}
Thus, the solution of pH 12.8312.83 will have the concentration of hydrogen ion as 1.479×10−13 1.479 \times {10^{ - 13}} and the unit will be mol per litre.
Hence the answer will be - 1.479×10−13⋅mol⋅L−1 1.479 \times {10^{ - 13}} \cdot mol \cdot {L^{ - 1}}

Note:
The given solution has pH more than 7, so the solution will be basic in nature. This simply means that the hydrogen ion concentration is very low in this solution, i.e. of range 10−13 {10^{ - 13}} . The pOH value can also be calculated using formula pH+pOH=14pH + pOH = 14 . So, the pOH value will be 1.171.17 . The pOH value defines the basicity of solution.