Question

The $pH$ of a solution is defined as the :
A. negative logarithm of the magnitude of hydrogen ion concentration.
B. logarithm of reciprocal of magnitude of hydrogen ion concentration
C. power raised on a $10$ in order to express $[{H^ + }]$ ion concentration
D. none of the above

Answer 1

We know that the concept of $pH$ is used to determine whether a solution is acidic or basic in nature , An acidic solution has more concentration of $[{H^ + }]$ and a basic solution has more concentration of $[O{H^ - }]$. The range of $pH$of an acidic solution is less than $7$ and the $pH$ of a basic solution is greater than $7$ and less than $14$.

Complete step by step solution:
As we know that the concept of $pH$ is used to identify whether a solution is acidic or basic. The $pH$ of a solution is given by $pH = - \log [{H^ + }]$ . The mathematical formula of $pH$ can be written as the negative logarithm of the magnitude of hydrogen ion concentration. It can be also written as
$pH = - \log [{H^ + }] = \log \dfrac{1}{{[{H^ + }]}}$ , which again in words can be written as the logarithm of reciprocal of magnitude of hydrogen ion concentration. So from the above explanation and discussion it is clear to us that the correct answer of the given question is : B. logarithm of reciprocal of magnitude of hydrogen ion concentration , C. power raised on a $10$ in order to express $[{H^ + }]$ ion concentration .

Hence, the correct answers are option B,C.

Additional information:
Some of the examples of strong acids are $HCl,{H_2}S{O_4},HN{O_3}$ and some examples of strong bases are $NaOH,KOH,LiOH$. Strong bases and acids dissociate completely in water . They are also known as strong electrolytes.

Note: Always remember that the $pH$ of a solution is given by the formula $pH = - \log [{H^ + }] = \log \dfrac{1}{{[{H^ + }]}}$. An acidic solution has $pH$ less than $7$ and the $pH$ of a basic solution is greater than $7$ and less than $14$. The $pH$ of a neutral solution is $7$. The $pH$ is just a number and it does not have any unit.