We prepare the volume of the 8.61 M stock solution of 0.102 L, then we dilute it by adding water to 0.5 L
Given
5.00 × 10² mL of a 1.75 M H₂SO₄ solution
8.61 M stock solution
Required
The volume of stock solution
Solution
Molarity from 8.61 M to 1.75 M ⇒Dilution
We can use dilution formula :
[tex]\tt \boxed{\bold{M_1.V_1=M_2.V_2}}[/tex]
M₁=8.61 M
V₂=500 ml = 0.5 L
M₂=1.75 M
[tex]\tt V_1=\dfrac{M_2.V_2}{M_1}\\\\V_1=\dfrac{1.75\times 0.5}{8.61}\\\\V_1=0.102~L[/tex]