Concentrated hydrochloric acid has a purity of 36.0% by mass. The density of the concentrated of the acid is 1.19 g/mL.Determine the molar concentration of this acid..please show me the solution...
M = mols/L so you want to know how many moles HCl there are in 1 L.
1000 mL weighs how much?
That's 1000 mL x 1.19 g/mL = 1190 g
How much of that is HCl? Only 36%; therefore, g HCl = 1190 x 0.36 = estimated 428g
How many mols is that? mol = g/molar mass
mols = 428/36.5 = estimated 12 mol.
So you have about 12 mol in 1L which makes it about 12M.
I like to do these in one step. You can identify each step from the above step by step.
1000mL x 1.19g/mL x 0.36 x (1 mol/36.5g) = ?M
To determine the molar concentration of the hydrochloric acid, we need to convert the given information into relevant units and use the formula:
Molar concentration (M) = (Mass of solute in grams / Molar mass of solute in grams per mole) / Volume of solution in liters
1. First, let's convert the given density to grams per milliliter (g/mL) to make it easier to work with:
Density of the acid = 1.19 g/mL
2. Next, we need to determine the mass of the solute (hydrochloric acid) in grams. Since the acid has a purity of 36.0% by mass, we multiply the density by the percentage purity:
Mass of solute = Density x Percentage purity
Mass of solute = 1.19 g/mL x 0.36 = 0.4284 g/mL
3. Now, we need to convert the mass of the solute to grams per mole to calculate the molar concentration. To do this, we need to know the molar mass of hydrochloric acid (HCl).
The molar mass can be calculated as follows:
- Molar mass of hydrogen (H) = 1 g/mol
- Molar mass of chlorine (Cl) = 35.5 g/mol
Molar mass of HCl = Molar mass of H + Molar mass of Cl
Molar mass of HCl = 1 g/mol + 35.5 g/mol = 36.5 g/mol
4. Now we can calculate the molar concentration using the formula mentioned above:
Molar concentration (M) = (Mass of solute in grams / Molar mass of solute in grams per mole) / Volume of solution in liters
However, we don't have the volume of the solution. Without the volume, we cannot calculate the molar concentration accurately. The molar concentration depends on the volume of the solution, which is not provided in the given information.
Hence, we don't have enough information to determine the molar concentration of the hydrochloric acid with the given data.