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Topic: Number of mol in a solution  (Read 5494 times)

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Offline T

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Number of mol in a solution
« on: June 25, 2015, 08:13:43 AM »
Hello what is the number of mols of HCl in this solution?

10 mL of a 35% hydrochloric acid (density 1.174 g/mL)

I don't really understand it. I interpreted it as 35% M but that gives you 0.0035 mol but the answer is 0.113.

Then I tried interpreting it as 35% by weight. This gives you 0.322.

Could someone tell me what 35% means?

Thanks.

Offline Borek

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Re: Number of mol in a solution
« Reply #1 on: June 25, 2015, 08:24:31 AM »
Never heard about % M, what do you think it means?

Hard to say without context, but typically 35% HCl will mean 35% w/w.

Then I tried interpreting it as 35% by weight. This gives you 0.322.

Show how you got it.
« Last Edit: June 25, 2015, 10:09:14 AM by Borek »
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Offline T

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Re: Number of mol in a solution
« Reply #2 on: June 25, 2015, 07:41:56 PM »
% M in my opinion is the concentration (molarity).

I realized what I did wrong getting the 0.322. I multiplied 10 x 11.74 but forgot to multiply it by 0.35 before dividing it by the molar weight.

So when it says a percentage without mentioning molarity will it always mean w/w?

Thanks Borek

Offline Dan

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Re: Number of mol in a solution
« Reply #3 on: June 26, 2015, 02:13:59 AM »
So when it says a percentage without mentioning molarity will it always mean w/w?

Yes, it should mean w/w unless otherwise specified (e.g. w/v).
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Offline Borek

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Re: Number of mol in a solution
« Reply #4 on: June 26, 2015, 02:53:29 AM »
% M in my opinion is the concentration (molarity).

Molarity is molarity, it is in no way related to %. Percentage is a fraction of a whole, a completely different concept.
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Offline PhotoElectroMaterials

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Re: Number of mol in a solution
« Reply #5 on: July 13, 2015, 11:24:23 PM »
If it is a 35% solution, it means 35g in 100g of water.  Since density of water is 1.  100g=100ml.
Hence 10ml of the solution contains 3.5g of HCl.
So number of moles = 3.5/36.45=0.096 moles of HCl in 10ml of water.

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Re: Number of mol in a solution
« Reply #6 on: July 14, 2015, 03:07:56 AM »
If it is a 35% solution, it means 35g in 100g of water. 

No it doesn't. 35 g HCl in 100 g of water is 35/135 = 26%.  It means 35 g in 65 g of water. 35% of the mass of the solution is HCl, the other 65% is water.
 
Quote
Since density of water is 1.  100g=100ml.
Hence 10ml of the solution contains 3.5g of HCl.
So number of moles = 3.5/36.45=0.096 moles of HCl in 10ml of water.

No, this is wrong. You have ignored the density of the solution (1.174 g/mL).

10.00 mL of solution has a mass of 11.74 g, 35% of which is HCl.
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Offline T

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Re: Number of mol in a solution
« Reply #7 on: July 14, 2015, 04:32:47 AM »
I see, thanks Dan

Offline PhotoElectroMaterials

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Re: Number of mol in a solution
« Reply #8 on: July 14, 2015, 10:10:51 PM »
Thanks for the correction.

Offline Old_Doc48

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Re: Number of mol in a solution
« Reply #9 on: July 18, 2015, 11:45:41 AM »
Hello what is the number of mols of HCl in this solution?

10 mL of a 35% hydrochloric acid (density 1.174 g/mL)

I don't really understand it. I interpreted it as 35% M but that gives you 0.0035 mol but the answer is 0.113.

Then I tried interpreting it as 35% by weight. This gives you 0.322.

Could someone tell me what 35% means?

Thanks.
35% +/- 2% is the typical concentration of HCl when purchased from manufacturer. It's concentration is 35% w/w = 35g HCl/100g Acid Soln = (35g/36.46g/mol)/[(100g)/(1.18g/ml)/(1000ml/liter)] = (0.9599mole/0.0848L) = 11.32 Molar
moles HCl in solution = Molarity of Concentrate x Volume of Solution (liters) = (11.32M)(0.010L) = 0.113 mole HCl(aq)

Offline skyblazer

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Re: Number of mol in a solution
« Reply #10 on: July 27, 2015, 04:48:25 PM »
it is % v/v
 
35% of 10 mL is 3.5 mL

Since 1 mL is 1.174 g, the mass of 3.5 mL must be 3.5 x 1.174 which is 4.109 g

Now you have the mass of the HCl and you can divide it by its molar mass to solve for the number of mol in your solution (4.109 g    divided by   36.46 g/mol   = 0.113 mol)

Offline billnotgatez

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Re: Number of mol in a solution
« Reply #11 on: July 27, 2015, 11:22:12 PM »

Offline AWK

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Re: Number of mol in a solution
« Reply #12 on: July 28, 2015, 05:39:34 AM »
it is % v/v
 
Impossible. HCl is a gas. Nobody wants prepare water solution using pure liquid HCl. Liquid HCl boils at 190 K under atmospheric pressure.
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