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red gold is a gold‑copper alloy used to make jewelry. a piece of jewelry made of red gold weighs 9.67 g and has a volume of 0.620 cm3 . gold has a density of 19.3 g/cm3 and copper has a density of 8.96 g/cm3 . calculate the percentage by mass of each metal in the jewelry. assume the total volume of the jewelry is the sum of the volumes of the two metals it contains.

Respuesta :

Red gold weighs 9.67 g and has a volume of 0.620 cm3 . gold has a density of 19.3 g/cm3 and copper has a density of 8.96 g/cm3 percentage by mass of each metal in the jewelry is 94,4732031% of gold and 5,5267969% of copper

Here given data is

Red gold weighs = 9.67 g and  volume of gold = 0.620 cm3 and density of gold = 19.3 g/cm3 and density of copper = 8.96 g/cm3

So here we have to calculate percentage by mass = ?

19.3x +  8.96y = 8.62

x + y = 0.475 this is the volume

x = 0,421947674 and y = 0,0530523256

So, 19.3 × 0,421947674 × 100% / 8.62 =  94,4732031% of gold

and 100-94,4732031 = 5,5267969% of copper

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