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A gold prospector finds a solid rock that is composed solely of quartz and gold. The...

A gold prospector finds a solid rock that is composed solely of quartz and gold. The mass and volume of the rock are, respectively, 15.9 kg and 2.90 × 10-3 m3. The density of gold is 19 300 kg/m3, and the density of quartz is 2660 kg/m3. Find the mass of the gold in the rock.

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Answer #1

Here ,

let the mass of gold is m

mass of quartz is 15.9 - m

Now, for the volume of the rock

m/19300 + (15.9 - m)/2660 = 2.9 *10^-3

solving for m

m = 9.49 Kg

the mass of the gold in the rock is 9.49 Kg

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