What volume of this solution is required to make 1.25 L

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To determine the volume of an 85.0% H2SO4 solution needed to prepare 1.25 L of 2.75 mol/L H2SO4, the equation c1v1=c2v2 is used. The concentration of the stock solution is calculated by multiplying its density (1.83 g/mL) by the mass percentage and converting it to molarity using the molar mass of H2SO4. A calculation yields v1 = 0.217 L, but there is confusion regarding the density value provided. Participants emphasize the need for detailed calculations to identify errors, as the density of sulfuric acid may vary. Accurate information and thorough steps are crucial for resolving discrepancies in the solution.
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Homework Statement



An aqueous stock solution is 85.0% H2SO4 by mass and its density is 1.83 g/mL. What volume of this solution is required to make 1.25 L of 2.75 mol/L H2SO4(aq)? Give your answer in millilitres, accurate to three significant figures.

Homework Equations



c1v1=c2v2

The Attempt at a Solution



What I did was multiply 0.85 by the density, then to convert to liters, multiplied by 1000. To get the concentration, I just divided by the molar mass of H2SO4 (98.086).

Then I could solve for the volume by using the equation.
 
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Sounds reasonable.

Where is the base?
 


Borek said:
Sounds reasonable.

Where is the base?

That's what's confusing me. If I do this, I get the wrong answer.
 


Show numbers, hard to tell what you are doing not seeing details.

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(0.85)(1.83 g/mL)(1000 mL/L)(1 mol/98.086 g)

This gives you the concentration

Then you can simply find the volume with c1v1=c2v2.
 


That should give you correct molarity of the solution.

You have shown only part of the calculations, so no way anyone can tell you what and where went wrong. If you expect reasonable help, you have to give reasonable amount of information.

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v1 = c2v2/c1 <br /> <br /> v1 = (1.25 L)(2.75 mol/L)/(15.8585 mol/L)<br /> = 0.217 L.
 


Looks OK to me. The only problem is that density of 85% sulfuric acid is not 1.83 g/mL, but if it was given to you you should use it.

You have earlier wrote that you are getting wrong answer, but I have no idea why do you think so - so I can't help further. Really, if you want to be helped, you need to be more elaborate.

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