Earth\'s surface area Earth\'s surface area is 5.10 times 10^8 km^2, and its cru

Question

Earth's surface area Earth's surface area is 5.10 times 10^8 km^2, and its crust has a mean thickness of 35 km and mean density of 2.8 g/cm^3. The two most abundant elements in the crust are oxygen (4.55 times 10^5 g/t) and silicon (2.72 times 10^5 g/t), and the two rarest non-radioactive elements are ruthenium and rhodium, each with an abundance of 1 times 10^-4 g/t. What is the total mass of each of these elements in Earth's crust? 1 metric ton (t) = 1,000 kg. times 10 g O times 10 g Si times 10 g Ru or Rh

Explanation / Answer

ANSWER:

Given,

rho.v= mass

v = 4/3 pi (r^3 - r-35^3)

r = 6370 km

volume
= 1.805 *10^10 km^3
= 1.805*10^19 m^3

mass = 4.99 *10^19

oxygen=2.27*10^25

silicon=1.36*10^25

ruthenium=5*10^15

rhodium=5*10^15

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