The required volume of concentrated stock solution of hydrochloric acid is 102.71 mL.
Volume of any solution will be calculated by using the density as:
Volume = Mass/Density
Given that percent mass of HCl is 37%, so mass of the HCl = 37g
So that mass of solution = 100g
And density of solution = 1.2 g/mL
Volume of solution = 100/1.2 = 83.33 mL = 0.08333 L
Moles of HCl will be calculated as:
n = W/M, where
W = given mass = 37g
M = molar mass = 36.4g/mol
n = 37/36.4 = 1.014mol
Then the molarity of the stock solution will be calculated as:
M = n/V
M = 1.014 / 0.0833 = 12.17M
Now the required volume of stock solution will be calculated by using the following equation as:
M₁V₁ = M₂V₂, where
M₁ & V₁ is the molarity and volume of stock solution and M₂ & V₂ is the molarity and volume of dilute solution. On putting values in the above solution we get
12.17 × V₁ = 0.5 × 2500
12.17 × V₁ = 1250
V₁ = 102.71 mL
Hence required volume of stock solution is 102.71 mL.
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