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Question:

I found a chunk of quartz on a farm?

It was really random to find it there, i was wondering why there was a piece of quartz in the ground, in this clay/high nutrient environment. There are no other rocks visible, and the quartz i found was so smooth almost like it had been cut by a jeweler.Could it have come by a glacier?

Answer:

these numbers cannot be correct; if the rock were pure quartz, 13kg of pure quartz has a volume of 13kg/2660kg/m^2 = 0.00489 m^3 if the volume of the rock were V and the mass were 13kg, we would solve for the mass of quartz by: set the mass of quartz=x, then the mass of gold is 13-x the total volume must equal the volume due to quartz plus the volume due to gold, or V=2660x +19300(13-x) and solve for x (which is the mass of the quartz) but these numbers are not possible, so check the question carefully and follow the method I outline
Obviously you did something wrong because the masses add to 12 kg. I suspect that you made a simple error at the last step.

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