What volume of this solution is required to make 1.25 L

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Discussion Overview

The discussion revolves around calculating the volume of an 85.0% H2SO4 aqueous stock solution needed to prepare 1.25 L of a 2.75 mol/L H2SO4 solution. The context is a homework problem involving concentration calculations and the use of density in conversions.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant outlines their approach, using the equation c1v1=c2v2 and mentions calculating the concentration from the mass percentage and density.
  • Another participant expresses confusion about the calculations and notes that they are getting a wrong answer, indicating a lack of clarity in the initial explanation.
  • A request for more detailed calculations is made, emphasizing the need for clarity to identify potential errors.
  • A specific calculation is presented, showing the use of the formula v1 = c2v2/c1 to find the volume needed, with a numerical result provided.
  • Concerns are raised regarding the accuracy of the density value used in the calculations, suggesting that it may not be correct.

Areas of Agreement / Disagreement

Participants generally agree on the use of the c1v1=c2v2 equation, but there is disagreement regarding the accuracy of the density value and the correctness of the initial calculations. The discussion remains unresolved as participants seek further clarification.

Contextual Notes

There are limitations in the provided calculations, including missing details that could clarify where errors may have occurred. The dependence on the given density value is also noted, as it may affect the outcome.

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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



[tex]c1v1=c2v2[/tex]

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

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


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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