How Much Gold Is in the Alloy by Mass?

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SUMMARY

The discussion focuses on calculating the percent of gold by mass in an alloy of copper and gold, given the alloy's displacement of water and its mass. The density of the alloy is calculated as 17.3 g/cm³ using the formula p = m/V, where m is the mass (33.44 g) and V is the volume (1.935 cm³). To find the mass percent of gold, one must use the densities of gold (19.3 g/cm³) and copper (8.9 g/cm³) to set up a system of equations that accounts for the mass contributions of both metals in the alloy.

PREREQUISITES
  • Understanding of density calculations
  • Familiarity with the concept of mass percent
  • Knowledge of basic algebra for solving equations
  • Experience with volume displacement methods
NEXT STEPS
  • Calculate the mass of gold and copper in the alloy using the densities provided
  • Learn about the concept of mass percent in mixtures
  • Explore the principles of water displacement for measuring volume
  • Review systems of equations for solving multi-variable problems
USEFUL FOR

Students in chemistry or materials science, educators teaching alloy composition, and anyone involved in metallurgy or material analysis.

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Homework Statement


an alloy of copper and gold displaces 1.935 cm^3 of water. It has a mass of 33.44g. If gold has a density of 19.3g/cm^3 and copper has a density of 8.9g/cm^3, what is the percent of gold by mass in the object


Homework Equations


mg=pVg


The Attempt at a Solution



m alloy= p alloy*V alloy
p alloy = m/V =33.44/1.935 =17.3g/cm^3
i am stuck at this point i found the density of the alloy what do i do next?
 
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What happened to the copper part?
 

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