Answer:
The volume we need is 8.89 mL
Step-by-step explanation:
We analyse data:
36 % by mass → 36 g of HCl in 100 g of solution
Solution's density = 1.179 g/mL
5.20L → Volume of diluted density
pH = 1.70 → [H⁺] = 10⁻¹'⁷⁰ = 0.0199 M
HCl → H⁺ + Cl⁻
0.0199
pH can gives the information of protons concentrations, so as ratio is 1:1, 0.0199 M is also the molar concentration of HCl
Let's verify the molar concentration of the concentrated solution:
We convert the mass to moles: 36 g / 36.45 g/mol = 0.987 moles
As the solution mass is 100 g, we apply density to find out the volume:
Density = Mass / volume → Volume = Mass / Density
Volume = 100 g / 1.179 g/mL → 84.8 mL
Let's convert the volume from mL to L in order to define molarity
84.8 mL . 1L/ 1000mL = 0.0848 L
Molarity → 0.987 mol / 0.0848L = 11.6M
Let's apply the dilution formula:
M concentrated . V concentrated = M diluted . V diluted
11.6 M . V concentrated = 0.0199M . 5.20L
V concentrated = (0.0199M . 5.20L) / 11.6M → 8.89×10⁻³L
We can say, that the volume we need is 8.89 mL