Sciencemadness Discussion Board
Not logged in [Login ]
Go To Bottom

Printable Version  
Author: Subject: Concentration of a solution based on molar mass
Elking_around
Harmless
*




Posts: 9
Registered: 23-1-2023
Member Is Offline


[*] posted on 18-3-2023 at 12:01
Concentration of a solution based on molar mass


Hello

I've recently learned that in order to make a 36.5% HCl solution, you would need 36.5g of HCl gas per L, since that's its molar mass. (or 36.45g/L)

I was wondering if that was the same for concentrated solutions in general, for instance, a 1L 50% formic acid solution would contain 22.51g of the acid. Formic acid being 46.025g/mol.

I know this is a pretty simple question, I'm just not entirely sure as I haven't seen any online examples with this level of obviousness.




View user's profile View All Posts By User
UC235
National Hazard
****




Posts: 565
Registered: 28-12-2014
Member Is Offline

Mood: No Mood

[*] posted on 18-3-2023 at 12:34


None of that is correct. There is no relation between percentage concentrations of a solution and molar mass. HCl is a coincidence that the percentage and molar mass are similar. First, you need to specify what type of %, w/w%, (weight weight), w/v% (weight volume) or v/v% (volume volume) all of which are fairly common. Commercial concentrated ~36.5% HCl is w/w% and is about 12M or roughly 44% w/v%, requiring ~440g per liter of solution.

ABV for alcoholic beverages is a v/v%.

50% formic acid again would depend entirely on which type of % you mean. w/v% would be 500g/liter and about 11M

[Edited on 18-3-2023 by UC235]
View user's profile View All Posts By User
Elking_around
Harmless
*




Posts: 9
Registered: 23-1-2023
Member Is Offline


[*] posted on 18-3-2023 at 13:23


Oh right, what your saying makes a lot more sense, thank you for the detailed reply. I highly appreciate it!

I do have a follow up question related to your example of the commercially available solution of 12 moles HCl,

How can a HCl solution equal to ~36.5% w/w% but also be 44% w/v% if 1Kg of water is equal to 1L of volume. Shouldn't it also be ~36.5% for w/v% ?

I don't understand how it could be 12 moles for w/v% but then potentially be 10 moles for w/w% ?

[Edited on 19-3-2023 by Elking_around]




View user's profile View All Posts By User
Sulaiman
International Hazard
*****




Posts: 3695
Registered: 8-2-2015
Location: 3rd rock from the sun
Member Is Offline


[*] posted on 19-3-2023 at 01:40


The density of about 36.5% w/w HCl is about 1.18
1kg contains 365g HCl (= 365/36.46 = 10 moles)
(1kg = 1/1.18 = 0.85 litre) (10/0.85 = 12 moles/litre [Molar] )
So equivalent to just over 43% w/v
(365g/0.85l = 430 g/l = 0.43 kg/l = 43% w/v)

my 2c on w/w vs w/v
If for your applications measurement of liquids by volume is more suitable than by weight
then use w/v% (kg/l)
else use w/w% (kg/kg)

For general chemistry molarity is common (I guess) due making up solutions in volumetric flasks,
which are calibrated to contain, not to deliver, accurate volumes.
Molality usage requires accurate weights of solvent delivered to make up solutions.

eg If digital scales were previously easily available
then we would probably use molality more than molarity.

PS... In industry it is often easier to weigh liquids than to measure their volume.

and yes, a solution can have a Molality of >100%

[Edited on 19-3-2023 by Sulaiman]




CAUTION : Hobby Chemist, not Professional or even Amateur
View user's profile View All Posts By User
Elking_around
Harmless
*




Posts: 9
Registered: 23-1-2023
Member Is Offline


[*] posted on 19-3-2023 at 14:44


Thank you Sulaiman, weighing liquids definitely seems simpler but your explanation is more than I could've wished for. Taking density into account when working with volume is something I should've thought about..



View user's profile View All Posts By User
Texium
Administrator
********




Posts: 4580
Registered: 11-1-2014
Location: Salt Lake City
Member Is Online

Mood: PhD candidate!

[*] posted on 19-3-2023 at 15:02


Quote: Originally posted by Sulaiman  
eg If digital scales were previously easily available
then we would probably use molality more than molarity
I highly doubt that. Maybe on an industrial scale it’s easier to measure by weight, but in the lab it’s much easier to measure liquids by volume and make up solutions by molarity so that they can easily be measured by volume. On very small scales, it’s far easier to use a micropipette than it is to weigh out mg amounts, especially of liquids since your precision is limited by the mass of a drop. On larger scales, it’s easier to measure with a graduated cylinder or a syringe.



Come check out the Official Sciencemadness Wiki
They're not really active right now, but here's my YouTube channel and my blog.
View user's profile Visit user's homepage View All Posts By User
j_sum1
Administrator
********




Posts: 6320
Registered: 4-10-2014
Location: At home
Member Is Offline

Mood: Most of the ducks are in a row

[*] posted on 19-3-2023 at 16:46


As a nitpick, I dislike the % w/v notation. I would much prefer to say 430 g/L. Percentage implies like units which is clearly not the case here.



View user's profile View All Posts By User
DraconicAcid
International Hazard
*****




Posts: 4333
Registered: 1-2-2013
Location: The tiniest college campus ever....
Member Is Online

Mood: Semi-victorious.

[*] posted on 19-3-2023 at 16:53


Quote: Originally posted by j_sum1  
As a nitpick, I dislike the % w/v notation. I would much prefer to say 430 g/L. Percentage implies like units which is clearly not the case here.

Agreed. w/v is used, but I loathe it. If it's a percentage, then your actual units should have been cancelled out.




Please remember: "Filtrate" is not a verb.
Write up your lab reports the way your instructor wants them, not the way your ex-instructor wants them.
View user's profile View All Posts By User

  Go To Top