Answer : The concentration of the HCl in original bottle is 0.56 M.
Explanation :
According to neutralization law:
[tex]M_1V_1=M_2V_2[/tex]
where,
[tex]M_1[/tex] = concentration of HCl
[tex]M_2[/tex] = concentration of NaOH
[tex]V_1[/tex] = volume of HCl
[tex]V_2[/tex] = volume of NaOH
Given:
[tex]M_1[/tex] = ?
[tex]M_2[/tex] = 0.25 M
[tex]V_1[/tex] = 10 mL
[tex]V_2[/tex] = 22.4 mL
Now put all the given values in the above formula, we get:
[tex]M_1\times 10mL=0.25M\times 22.4mL[/tex]
[tex]M_1=0.56M[/tex]
Therefore, the concentration of the HCl in original bottle is 0.56 M.