Solved: Calculate Molarity of HCl in 37% Mass by Volume

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To calculate the molarity of hydrochloric acid (HCl) in a 37% mass by volume solution with a density of 1.19 g/ml, assume a volume of 100 ml, resulting in a mass of 119 g. The mass of HCl can be determined by multiplying the percentage by the total mass, yielding approximately 44 g of HCl. Dividing this by the molar mass of HCl (36.5 g/mol) gives about 1.2 moles of HCl. The molarity is then calculated as 1.2 moles divided by 0.1 L, resulting in a molarity of 12.06 M. Mastery of these calculations will improve with practice, especially for those new to chemistry.
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[SOLVED] % mass by Vol problem

Homework Statement


Concentrated Hydrochloric acid is 37% HCl by mass and has a density of 1.19 g/ml. What is the molarity of HCl.


Homework Equations


Mass = D(V)
1 mole HCl = 36.5g



The Attempt at a Solution


What has thrown me off on this problem is that volume is not given. So I assume 100ml.
With that I can compute mass = 1.19g/ml (100ml) = 119g
Where 36.5 is 1 mol HCl
So then I compute 119g/36.5g = 3.26 mole

Did I do that right? I really don't feel confident on this problem.
 
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Remember, you started with 37% HCl.
(0.37)*(100 ml)*(1.19 grams)/(1 ml) = however many grams of HCl

Now, (HCl grams) / (36.5 grams/mole) = the moles of HCl

Take it from there...
 
Thanks so much, and Gadzooks, how did I miss the 37%. I think I got it. So I end up with 1.2 moles. Molarity = moles/liter, so I have 1.2mol/.1L = a molarity of 12.06
Again thanks. This chapter is is kicking my behind, and my teacher said this chapter is the core of Chemistry. I seem to have trouble seeing the whole picture. Is this just me?
 
MichaelXY said:
Thanks so much, and Gadzooks, how did I miss the 37%. I think I got it. So I end up with 1.2 moles. Molarity = moles/liter, so I have 1.2mol/.1L = a molarity of 12.06
Again thanks. This chapter is is kicking my behind, and my teacher said this chapter is the core of Chemistry. I seem to have trouble seeing the whole picture. Is this just me?

This must be your first time either studying Elementary Chemistry, or General Chemistry and you never before studied Elementary Chemistry. You'll become accustomed to these calculations with practice.
 
I guess it shows, and your correct, I never had chem before, in fact I never finished the 10th grade, and now I am playing catch up in a JC. Sorry if my questions are elementary.
But thank you for the help.
 

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