Answer
64.8k+ views
Hint: pH is a scale used to measure acidity and alkalinity of a solution. The range goes from 0 to 14, where 7 is neutral, below 7 is acidic and above 7 is basic. It is the measure of concentration of hydrogen ions present in a substance.
Complete step-by-step answer:
Acids on dissociation produces hydrogen ions. Their concentration can be calculated if the pH of the solution is known. Thus, pH stands for potential of hydrogen. pH lower than 7 denotes that the solution is acidic. It becomes more acidic as we go from 7 to 0.
Due to an amphoteric nature of water, it reacts to form hydronium ions and hydroxide ions. This self-ionisation of water results in equal concentration of both the ions as \[1:1\] ratio. The experimental molarity is the same for both, \[1.0 \times {10^{ - 7}}M\] at room temperature. Their concentration product gives us a constant of water, \[{K_w}\]= \[1.0 \times {10^{ - 14}}M\]. This determines the range of the pH scale from 0 to 14 because \[p{K_w}\] = 14.
The solution we are provided with has a pH = 2, this shows that the solution is a strong acid. Its hydrogen ion concentration can be calculated by using the pH formula given below.
\[pH = - \log ({H^ + })\]
\[\therefore 2 = - \log ({H^ + })\]
Or \[\log ({H^ + })\]= -2
\[\therefore [{H^ + }] = 1.0 \times {10^{ - 2}}M\] or 0.01M.
Hence, the correct option is (D).
Note: The letter p is written small in pH because it is a word from its meaning ‘power or strength of hydrogen’. Also note that \[p{K_w}\] = \[pH + pOH = 14\] and from this we can also calculate the concentration of hydroxide ions. It is a unitless quantity as it involves logarithm value only.
Complete step-by-step answer:
Acids on dissociation produces hydrogen ions. Their concentration can be calculated if the pH of the solution is known. Thus, pH stands for potential of hydrogen. pH lower than 7 denotes that the solution is acidic. It becomes more acidic as we go from 7 to 0.
Due to an amphoteric nature of water, it reacts to form hydronium ions and hydroxide ions. This self-ionisation of water results in equal concentration of both the ions as \[1:1\] ratio. The experimental molarity is the same for both, \[1.0 \times {10^{ - 7}}M\] at room temperature. Their concentration product gives us a constant of water, \[{K_w}\]= \[1.0 \times {10^{ - 14}}M\]. This determines the range of the pH scale from 0 to 14 because \[p{K_w}\] = 14.
The solution we are provided with has a pH = 2, this shows that the solution is a strong acid. Its hydrogen ion concentration can be calculated by using the pH formula given below.
\[pH = - \log ({H^ + })\]
\[\therefore 2 = - \log ({H^ + })\]
Or \[\log ({H^ + })\]= -2
\[\therefore [{H^ + }] = 1.0 \times {10^{ - 2}}M\] or 0.01M.
Hence, the correct option is (D).
Note: The letter p is written small in pH because it is a word from its meaning ‘power or strength of hydrogen’. Also note that \[p{K_w}\] = \[pH + pOH = 14\] and from this we can also calculate the concentration of hydroxide ions. It is a unitless quantity as it involves logarithm value only.
Recently Updated Pages
Write a composition in approximately 450 500 words class 10 english JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Arrange the sentences P Q R between S1 and S5 such class 10 english JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What is the common property of the oxides CONO and class 10 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What happens when dilute hydrochloric acid is added class 10 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
If four points A63B 35C4 2 and Dx3x are given in such class 10 maths JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
The area of square inscribed in a circle of diameter class 10 maths JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Other Pages
A boat takes 2 hours to go 8 km and come back to a class 11 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
In the ground state an element has 13 electrons in class 11 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Electric field due to uniformly charged sphere class 12 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
According to classical free electron theory A There class 11 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Excluding stoppages the speed of a bus is 54 kmph and class 11 maths JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)