a aqueous solution of hydrochloric acid has concentration of 37. wt % convert in concentration value to molar concentration if the density of the solution is 1.19g/ml molar mass of Hcl=36.46g/mol t
density = 1.19 g/mL.
mass of 1000 mL is 1.19 g/mL x 1000 = 1190g
How much of that is HCl. 37% so
1190 g x 0.37 = about 440g but that is an estimate.
How many mols is that?
440/36.46 = about 12 mols.
12 mols/1000 mL = about 12 M.
To convert the weight percent (wt %) concentration of hydrochloric acid (HCl) to molar concentration, you'll need to follow a few steps:
1. Calculate the mass of HCl present in the given solution.
2. Convert the mass of HCl to moles.
3. Determine the volume of the solution in liters.
4. Calculate the molar concentration by dividing the moles of HCl by the volume of the solution.
Let's go through each step in detail:
Step 1: Calculate the mass of HCl present in the solution.
The concentration of HCl is given as 37 wt %, which means that 37 grams of HCl are present in 100 grams of the solution. To calculate the mass of HCl, you can assume that you have 100 grams of the solution. Therefore, the mass of HCl would be 37% of 100 grams, which is 37 grams.
Step 2: Convert the mass of HCl to moles.
To convert the mass of HCl to moles, you need to use its molar mass. Given that the molar mass of HCl is 36.46 g/mol, you can divide the mass of HCl by its molar mass:
moles of HCl = mass of HCl / molar mass of HCl
moles of HCl = 37 g / 36.46 g/mol
moles of HCl ≈ 1.014 mol
Step 3: Determine the volume of the solution in liters.
The density of the solution is given as 1.19 g/mL. To find the volume of the solution, you can use the following relationship:
volume = mass / density
volume = 100 g / (1.19 g/mL)
volume ≈ 84.03 mL
Step 4: Calculate the molar concentration.
To calculate the molar concentration, divide the moles of HCl (from Step 2) by the volume of the solution in liters (from Step 3):
molar concentration = moles of HCl / volume of solution
molar concentration = 1.014 mol / 0.08403 L
molar concentration ≈ 12.09 M
Therefore, the molar concentration of the hydrochloric acid solution with a 37 wt % concentration is approximately 12.09 M.