Volume/volume and weight/weight persentages of the constituents in a composite

  • Thread starter mitnord
  • Start date
  • Tags
    Composite
In summary, the conversation discusses finding the volume/volume and weight/weight percentages of aluminium and lead in an aluminium/lead composite material with a density of 8.3 g/m^3. The volume and mass of the material are not given, but the density can be used to calculate the ratios using Archimedes' principle. By setting up two equations with the known densities and solving for the unknown volumes, the desired ratios can be determined.
  • #1
mitnord
1
0
Hi,

I have an aluminium/lead composite material with density of 8,3 g/m^3. How do I find volume/volume and weight/weight persentages of aluminium and lead in the material, if the masses of the composites are not given?

The volume of the material is also not known.

Thanks.
 
Physics news on Phys.org
  • #2
You don't need to know the volume since the density is independent of volume.

8,3 grams per cubic metre sounds remarkably small for something involving metals!

You know Archimedes sorted this out for a king who wasn't sure that his crown was pure gold or alloyed with silver.

(DensityAl * VolumeAl) + (DensityPb * VolumePb) = (AverageDensity * TotalVolume)

VolumeAl + VolumePb = TotalVolume

Assume TotalVolume to be one cubic metre. You know the three densities (or you can look them up) so you've got two equations and two unknowns.

From that you can work out the ratios you are looking for.
 
  • #3


Hello,

To find the volume/volume and weight/weight percentages of the constituents in a composite, we need to know the mass and volume of each constituent. Since the mass and volume of the composite material is not given, it may be difficult to accurately determine the percentages.

One possible approach is to estimate the volume and mass of the composite material by taking measurements of its dimensions and using its density (8.3 g/m^3). Then, assuming the composite is made up of only aluminium and lead, we can use the known densities of these materials (2.7 g/cm^3 for aluminium and 11.3 g/cm^3 for lead) to calculate the volume and mass of each constituent present in the composite.

Once we have the mass and volume of each constituent, we can then calculate the volume/volume and weight/weight percentages by dividing the volume or mass of each constituent by the total volume or mass of the composite material. However, it is important to note that this method may not provide exact percentages as there may be other materials present in the composite that were not accounted for.

Alternatively, if the composition of the composite material is known, we can directly calculate the percentages based on the amount of aluminium and lead present in the material.

In conclusion, to accurately determine the volume/volume and weight/weight percentages of the constituents in a composite, we need to have information on the mass and volume of each constituent or know the exact composition of the composite material. I hope this helps. Please let me know if you have any further questions.
 

1. What is the difference between volume/volume and weight/weight percentages in a composite?

The volume/volume percentage is the ratio of the volume of a specific constituent in the composite to the total volume of the composite, expressed as a percentage. The weight/weight percentage, on the other hand, is the ratio of the weight of a specific constituent in the composite to the total weight of the composite, also expressed as a percentage. Essentially, the difference lies in the units used to express the percentage.

2. How do you calculate the volume/volume and weight/weight percentages in a composite?

To calculate the volume/volume percentage, you would first measure the volume of the specific constituent in the composite and divide it by the total volume of the composite. This value is then multiplied by 100 to give the percentage. Similarly, to calculate the weight/weight percentage, you would measure the weight of the specific constituent and divide it by the total weight of the composite, then multiply by 100 to get the percentage.

3. What is the significance of knowing the volume/volume and weight/weight percentages in a composite?

Knowing the volume/volume and weight/weight percentages in a composite is important for understanding the composition and properties of the composite. It can also help in designing and optimizing composite materials for specific applications.

4. Can the volume/volume and weight/weight percentages in a composite be different?

Yes, the volume/volume and weight/weight percentages in a composite can be different. This is because the density of each constituent may vary, resulting in different volumes and weights for the same amount of material. However, the percentages should still add up to 100% for both volume/volume and weight/weight calculations.

5. How do changes in the volume/volume and weight/weight percentages affect the properties of a composite?

The volume/volume and weight/weight percentages can greatly impact the properties of a composite. For example, a higher volume/volume percentage of a specific constituent may result in a stronger and stiffer composite, while a higher weight/weight percentage may result in a denser and heavier composite. It is important to carefully consider and adjust these percentages to achieve the desired properties in a composite material.

Similar threads

  • Introductory Physics Homework Help
Replies
17
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
924
  • Introductory Physics Homework Help
Replies
13
Views
2K
  • Introductory Physics Homework Help
Replies
8
Views
743
  • Introductory Physics Homework Help
Replies
6
Views
4K
  • Introductory Physics Homework Help
Replies
26
Views
779
  • Introductory Physics Homework Help
Replies
2
Views
2K
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
607
Back
Top