Calculate the volume of a concentrated solution required to prepare 1 L 0.100 M HCl solution that was taken from a bottle of conc. HCl. The label on the bottle indicates 37.0% HCl, density of 1.18 g/mL. (Molecular mass for HCl=36.5)
--Give the solution--
Answer: 8.36 mL
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Answer:
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Explanation:
Hello
With this data you have enough to calculate the molarity of your HCL solution
First you must know that the molarity is not more than the moles of solute per liters of dissolution
Now, according to your data: 35-38% refers to the percentage of purity of the reagent and the weight per milliliter refers to the density.
Firstly
The purity is the grams of solute per 100 grams of solution, therefore a% purity of 37 (the average value between 35-38%) means that you have 37g / 100g of solution.
The density as I said at the beginning are the grams of solute per liter of solution, therefore 1.8g / ml would be 1180g / L
To be able to express the concentration in moles (molarity) you need the molar mass of the acid, in this case the molar mass of the HCL is 36.46, this value can be calculated according to the sum of the atomic masses of the elements that form the molecule.
It would remain this way
concentration (M) = purity * density * Mmolar
concentration = 37g / (100g solution) * 1180g / (1L solution) * (1mol HCL) /36.46g
Therefore your solution has a molarity of 11.97 moles per liter, now from this solution using the law of volumetry you can calculate how many milliliters you should take from the concentrated solution to prepare a more diluted solution as is your case, since you need a 9M solution
Law of volumetry
C1 * V1 = C2 * V2
Where:
C1 concentration of the concentrated solution (11.97 M)
V1 volume needed to prepare the diluted solution (X)
C2 concentration of the diluted solution (9M)
V2 total volume of solution (you did not mention it but we will take for example 100ml)
It would be like this:
11.97 M * X = 9 M * 100 ml
then you clear x and you get that to prepare 100ml of a solution of HCL to 9M you have to take 75.19 ml of the concentrated one and take it to 100 ml with distilled water
I hope it was helpfull for you