Final Concentration Formula for Chemical Mixtures: CiVi+CiVi=CfVf

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Discussion Overview

The discussion revolves around the appropriate formula to calculate the final concentration of a mixture when two samples of the same chemical with different concentrations and volumes are combined. It explores the theoretical underpinnings of concentration calculations in chemistry.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant initially proposes the formula CiVi + CiVi = CfVf for finding the final concentration after mixing two samples.
  • Another participant suggests the dilution formula C1V1 = C2V2, indicating a potential misunderstanding of the context.
  • A participant clarifies that the final concentration can be calculated using the formula (C1V1 + C2V2) / (V1 + V2), emphasizing that the final concentration will be lower than either of the initial concentrations due to dilution effects.
  • There is a note that the dilution approach may not apply if one of the solutions is solvent-free, indicating a condition that could affect the outcome.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best formula to use, with differing views on the applicability of dilution concepts and the conditions under which they hold true.

Contextual Notes

There are limitations regarding the assumptions made about the solutions, such as the presence of solvents and the specific conditions under which the formulas apply. The discussion does not resolve these assumptions.

recon9
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Ok, I am trying to remember my grade 11 chem stuff cause I am helping out a friend who is taking it, but When you have 2 samples of the same chemical, different volumes and different concentrations then mix them, what formula is used to find the final concentration? is it CiVi + CiVi= CfVf ?
 
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C1V1 = C2V2
 
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Thats for dilution. In this question I have 2 samples of the same substance each with a different volume and concentration. Those are then mixed. How do I find the total concentration of the mixture? The final volume will be the sum of the 2 volumes before, but the concentration will be different.
 
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I got it now. You may use this then:
\frac {C_1V_1+C_2V_2}{V_1+V_2}
This will give the final concentration after two solutions are mixed. But please remember that the final concentration will be less than each of the two, as two solutions are mixed; so a dilution approach would not be incorrect, unless one of the participants is solvent-free.
 
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