Hydrochloric acid is usually purchased in a concentrated for

Solution

The density is 1.2 g / ml

1 liter of solution = 1000 ml

1.2 g / ml * 1000 ml = 1200 grams of solution

we also know that for 1 gram there are 0.37 grams of HCl / 1 gram of solution wo

0.37 g HCl / g solution * 1200 grams of solution = 444 grams of HCl in 1 liter of solution

molar mass of HCl = 35.5 +1 = 36.5 g / mol

Now calculate the moles of HCl in 1 liter of solution

moles = mass / molar mass = 444 / 36.5 = 12.16 moles in 1 liter so this is concentration

Molarity HCl = 12.16 M

now use dilution equation

M₁V₁ = M₂V₂

M₁ = Molarity before dilution

V₁ = Volume before dilution

M₂ = Molarity after dilution

V₂ = Volume after dilution

plug the values

12.16 * V₁ = 2.65 * 0.515 = 1.365

V₁ = 1.365 / 12.16 = 0.1122 Liters of solution or

0.1122 * 1000 = 112 ml of solution must be used

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