Answer:- Molarity of the acid solution is 0.045M.
Solution:- The balanced equation for the reaction of given acid and base is:
[tex]HNO_3+NaOH\rightarrow NaNO_3+H_2O[/tex]
From the balanced equation, they react in 1:1 mol ratio. So, we could easily solve the problem using the equation:
[tex]M_aV_a=M_bV_b[/tex]
where, [tex]M_a[/tex] is the molarity of acid, [tex]M_b[/tex] is the molarity of base, [tex]V_a[/tex] is the volume of acid and [tex]V_b[/tex] is the volume of base.
Let's plug in the given values in the equation:
[tex]M_a(0.22L)=0.1M(0.10L)[/tex]
on rearranging the above equation:
[tex]M_a=\frac{0.1M(0.10L)}{0.22L}[/tex]
[tex]M_a[/tex] = 0.045M
So, the molarity of the acid solution is 0.045M.