How Do You Calculate the Density of a Mud Mixture?

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SUMMARY

The density of a mud mixture composed of 76 wt% sand and 24 wt% water can be accurately calculated using the individual densities of the components. The density of sand is 951 kg/m³ and that of water is 1 kg/m³. To find the density of the mixture, assume a total weight of 1 kg, which allows for straightforward calculations of the weights of sand and water based on their percentages. The final density is derived from the total weight divided by the total volume of the mixture, leading to the correct density value.

PREREQUISITES
  • Understanding of weight percentage calculations
  • Knowledge of density and its formula (density = mass/volume)
  • Familiarity with basic principles of mixtures
  • Ability to convert weight to volume using density
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  • Learn how to calculate density for different mixtures
  • Study the concept of weight percentage in chemical mixtures
  • Explore the principles of volumetric calculations in fluid dynamics
  • Review relevant equations for density calculations in textbooks
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Students in chemistry or physics courses, engineers working with material properties, and anyone involved in calculating the properties of mixtures in practical applications.

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Homework Statement



A typical mud is compsed of 76 wt% sand and 24 wt% water. What is the density?

Homework Equations



No relevant equations but density of sand is 951 kg/m^3 and 1 kg/m^3 for water.

The Attempt at a Solution


Just multiplied the density by the percentage and added them up. Dont know if its correct. Answer came out to be 723 kg/m^3
 
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That's incorrect. That's the wrong density for water, plus your current approach is incorrect. There are probably relevant equations in your textbook. Keep looking. Or, you can derive it yourself.
 
The trick here is that they give you the pecentages in weight. Assume that your mixture is 1 kg. From here given the percentages, you can get the weight of each part; this will simply be the percentage. Now given the density of each part and the weight, you can find the volume.

Given the weight (1 kg) and the volume, you can get the final mixture's density.
 

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