What volume of a concentrated HCl solution, which is 36.0% HCl by mass and has a density of 1.179 g/mL, should be used to make 4.60 L of an HCl solution with a of 1.9?
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To determine the volume of the concentrated HCl solution needed, you can use the equation:
(mass of solute / % by mass) = (volume of solution)
Step 1: Calculate the mass of HCl needed in the final solution.
mass of solute = volume of solution * concentration of solution
= 4.6 L * 1.9 M
= 8.74 moles
Step 2: Use the percent by mass of the concentrated HCl solution to calculate the mass of the concentrated HCl solution needed.
mass of concentrated HCl solution = (mass of solute) / (% by mass)
= 8.74 moles / 0.36
= 24.28 moles
Step 3: Use the density of the concentrated HCl solution to find the volume needed.
volume of concentrated HCl solution = (mass of concentrated HCl solution) / (density of concentrated HCl solution)
= 24.28 moles / 1.179 g/mL
= 20.6 mL
Therefore, you would need 20.6 mL of the concentrated HCl solution to make 4.60 L of an HCl solution with a concentration of 1.9 M.
To determine the volume of concentrated HCl solution needed, we can use the concept of dilution. Dilution involves mixing a concentrated solution with a solvent to obtain a solution with a desired concentration.
Let's break down the steps to solve this problem:
Step 1: Calculate the mass of HCl required
The desired concentration of the diluted solution is 1.9 M. This means that for every liter of the diluted solution, there should be 1.9 moles of HCl.
Mass of HCl = (Desired concentration) x (Volume of diluted solution in liters)
Mass of HCl = 1.9 M x 4.60 L = 8.74 moles
Step 2: Convert the mass of HCl to the mass of the concentrated solution
Since the concentrated HCl solution is 36.0% HCl by mass, we can calculate the mass of the HCl in the concentrated solution.
Mass of concentrated HCl solution = (Mass of HCl) / (Percentage of HCl by mass)
Mass of concentrated HCl solution = 8.74 moles / 0.36 = 24.28 moles
Step 3: Convert the mass of the concentrated HCl solution to volume
To convert the mass of the concentrated HCl solution to volume, we need to use its density.
Volume of concentrated HCl solution = (Mass of concentrated HCl solution) / (Density of the concentrated HCl solution)
Volume of concentrated HCl solution = 24.28 moles / 1.179 g/mL = 20.61 mL
Therefore, you would need approximately 20.61 mL of the concentrated HCl solution to make 4.60 L of an HCl solution with a concentration of 1.9 M.
My own calculation
1.179g/ml x 1000ml x 0.36/36.5
x = 11.62
11.62M = 4.6 L change 4600ml
11.62 M = 4600ml x 1.9
11.62M = 8740ml
X= 8740ml/11.62
x= 752ml