Explanation:
The given data is as follows.
[tex]V_{NaOH}[/tex] = 26.25 ml, [tex]M_{NaOH}[/tex] = 0.1850 m
[tex]V_{H_{2}SO_{4}}[/tex] = 25.00 ml, [tex]M_{NaOH}[/tex] = ?
It is known that normality is n times molarity where "n" signifies the number of hydrogen or hydroxide ions.
Therefore, normality of NaOH is calculated as follows.
[tex]N_{NaOH} = n \times M_{NaOH}[/tex]
= [tex]1 \times 0.1850[/tex]
= 0.1850 N
Normality of [tex]H_{2}SO_{4}[/tex] is calculated as follows.
[tex]N_{NaOH}V_{NaOH} = N_{H_{2}SO_{4}}V_{H_{2}SO_{4}}[/tex]
[tex]0.1850 N \times 26.25 ml = N_{H_{2}SO_{4}} \times 25.00 ml[/tex]
[tex]N_{H_{2}SO_{4}}[/tex] = 0.194 N
Hence, molarity of [tex]H_{2}SO_{4}[/tex] will be as follows.
[tex]N_{H_{2}SO_{4}} = n \times M_{H_{2}SO_{4}}[/tex]
[tex]M_{H_{2}SO_{4}} = \frac{N_{H_{2}SO_{4}}}{n}[/tex]
= [tex]\frac{0.194 N}{2}[/tex]
= 0.097 M
Thus, we can conclude that molarity of the acid solution is 0.097 M.