Solving Gravimetric Factor Problems: Step by Step Guide

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In summary, the conversation discusses various scenarios where the concentration of a present dye is compared to that of a new dye in order to determine the amount of new dye needed to create a solution of a desired concentration. The use of gravimetric factors is questioned and it is suggested that solving one question symbolically can solve all of them. The possibility of varying staining intensity is also mentioned.
  • #1
klively
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How do you work these problem? I need each step Please.

1. The concentration of the present dye is 95%, and the concentration of the new dye is 76%. How many grams of the new dye are needed to make a 100 ml of 0.3% solution with the same staining intensity as what was obtained with the old dye?

2. The concentration of the present dye is 82%, and the concentration of the new dye is 96%. How many grams of new dye are needed to make up 250 ml of 0.5% solution with the same staining intensity as what was obtained with the old dye?

3. The concentration of the present dye is 76%, and the new dye is 95%. How many grams of the new dye are needed to make 50 ml of 5% solution with the same staining intensity as what was obtained with the old dye?

Thanks in advance!

klively
 
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  • #2
Each of those questions is the same general question; the only things which change are the values. If you solve one question symbolically, you solve all of them.

You seem to show a difficulty with "present dye" and "new dye". If these are different dyes, then you can not be sure that mass for mass each will produce a dyeing of the same strength. (That is, mass for mass of the dye by itself, excluding the solvent)

Are you certain that you need "Gravimetric Factors"? The gravimetric factor is used for quantitative analysis by precipitation. You could probably use the idea in comparing masses for other purposes, too.
 
  • #3
never mind.
 

1. What is a gravimetric factor problem?

A gravimetric factor problem is a type of mathematical problem that involves determining the mass or weight of a substance based on its chemical composition and known conversion factors.

2. Why is solving gravimetric factor problems important?

Solving gravimetric factor problems is important in various fields of science, such as chemistry and environmental science, as it allows for accurate measurements and calculations of substances. This information can be used to understand the composition and properties of different materials, as well as to make informed decisions in research and industry.

3. What are the steps involved in solving a gravimetric factor problem?

The steps involved in solving a gravimetric factor problem include identifying the known and unknown values, converting units if necessary, using the given conversion factors to set up a dimensional analysis problem, and solving for the unknown value using basic algebra principles.

4. How do I know which conversion factor to use in a gravimetric factor problem?

The conversion factors used in gravimetric factor problems are typically provided in the problem or can be found in a reference table. It is important to use the correct conversion factor and pay attention to the units to ensure an accurate solution.

5. Are there any common mistakes to avoid when solving gravimetric factor problems?

Some common mistakes to avoid when solving gravimetric factor problems include using the wrong conversion factor, not paying attention to units, and making calculation errors. It is also important to double check the final solution and make sure it makes sense in the context of the problem.

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