How Much Gold Is in the Alloy by Mass?

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To determine the percent of gold by mass in the alloy, first calculate the density of the alloy, which is found to be 17.3 g/cm³. Next, use the known densities of gold and copper to set up equations based on the mass and volume of the components. The total mass of the alloy is 33.44 g, and the volume is 1.935 cm³, allowing for the calculation of the individual masses of gold and copper. By solving these equations, the percentage of gold by mass in the alloy can be determined. The discussion highlights the need to incorporate both metals' contributions to the total mass and volume to find the solution.
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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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