B) Rather than doing lots of complicated sums, giving an estimate which may or may not be anywhere near the correct answer (the shape of the fragments, for instance, will affect the packing density), why not take a known volume, and weigh it?
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"Love justice, you who rule the world" - Dante Alighieri
It is simple. You take a big enough lump of coal. You fill a pot exactly full with water. Lower the coal gently into it. Catch the water displaced = exact volume. Weigh the coal = exact weight. Divide = exact specific weight.
But unless our Guest was wasting his time telling us about the distribution of particle sizes, he wants to know the average density of his aggregate of assorted bit of coal.
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"Love justice, you who rule the world" - Dante Alighieri
Refer to Kempe's Engineers' Year Book 1988, part 1, section F2. Pages and pages of tabulated information!
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"Did you get my e-mail?" - "The biggest problem in communication is the illusion that it has taken place" - George Bernard Shaw, 1856