How can I prepare a 25 degree brix 100ml solution with sucrose?

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Discussion Overview

The discussion revolves around preparing a 100ml solution with a 25% sucrose content, specifically addressing the challenges of achieving the correct concentration while considering the properties of sucrose and water. The context includes chemistry education related to solution preparation.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant expresses uncertainty about how to prepare a 100ml solution with 25 grams of sucrose and 75 grams of water, noting that this does not yield a 100ml solution due to volume contraction.
  • Another participant clarifies that "25% solution" can refer to different measurement bases (mass, volume, etc.) and explains that a 25% w/w solution requires three times the mass of water compared to sucrose.
  • A participant points out that mixing 25 grams of sucrose with 75 grams of water will not result in exactly 100ml due to intermolecular forces and the size of sucrose molecules.
  • One suggestion is made to use the density of a 25% w/w sucrose solution to calculate the necessary masses of sucrose and water for a 100ml solution.
  • A participant inquires about the possibility of using mathematical calculations instead of density tables to find the required weights.
  • Another participant responds negatively to the inquiry about using mathematical calculations, suggesting a lack of alternative methods.

Areas of Agreement / Disagreement

Participants exhibit disagreement regarding the method of preparing the solution, particularly about the implications of density and the measurement basis for the concentration. There is no consensus on a definitive approach to achieve the desired solution.

Contextual Notes

Participants highlight the importance of understanding the density of the final solution and the effects of intermolecular forces, which may complicate the preparation process. The discussion remains unresolved regarding the best method to calculate the necessary components.

Who May Find This Useful

This discussion may be useful for students learning about solution preparation in chemistry, particularly those interested in the practical implications of concentration measurements and the physical properties of solutes and solvents.

miniradman
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Hello there, I'm learning how to make wine in my Chemistry class and the first task we had to do is prepare a 100ml solution with a 25% sucrose content. However, I don't know where to begin. I know that 25 grams of sugar plus 75 grams of water will not add up to 100mls of solution.

I've done something like this before with volume contraction of ethanol and water and remember something about density? Well the density of sucrose is 1.59g/cm^{2} and water is going to be assumed to be 1 g/cm^{2} (because we are using tap water)

How do I approach this?

thank you - miniradman
 
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"25% solution" by what? You can prepare concentrations by volume, mass, number of molecules and they all are different.

You talk about the mass density of sucrose so I suppose you mean by mass or weight. To have a 25% solution (.25= 1/4), you must have three times the mass of water as sucrose. If, for example, you have 1 kg of sucrose, you must dissolve it in 3 kg of water to have a total mass of 4 kg. so that the sucrose is 1 kg/4kg= 1/4= 25% of the whole mass. You need the density of sucrose only if you are measuring it by volume. Of course, for water, at standard temperature and pressure, 1 g mass is equal to 1 cm volume.
 
yes, but if I put 25 grams of sugar, and 75 grams of water, it will not give me a 100ml solution due to the differences in intermolecular forces, and the sheer size of the sucrose molecule in comparision to the water molecule?
 
You need an exact density of the 25% w/w sucrose solution (take it from density tables) - that will let you calculate mass of 100 mL of the solution. Once you know that calculating masses of sucrose and water is a breeze.
 
is there any way I can find the weight needed using mathematical calculations over pre-made tables?
 
No.

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