Calculating the Masses of Oxygen, Silicon, Ruthenium and Rhodium in Earth’s Crust

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Calculate the Masses of Oxygen, Silicon, Ruthenium and Rhodium in Earth’s Crust.

Answer

Volume of the crust in km3: 5.1 x 108 km2 x 35 km=1.785 x 1010 km3

Volume of crust in cm3: 1.785 x 1010 km3 x (1000 m/km)3x(100 cm/m)3=1.785×1025 cm3

The mass of the crust in g: 1.785 x 1025 cm3 x 2.8 g/cm3 = 5.0 x 1025 g

The mass of the crust in t: 5.0 x 1025 g x 1 kg/1000 g x 1 t/1000 kg=5.0×1019 t

The total mass of oxygen: 5.0 x 1019 t x (4.55 x 105 g/t)=2.3×1025 g

The total mass of Silicon: 5.0 x 1019 t x (2.72 x 105 g/t)=1.4×1025 g

The total mass of Ruthenium: 5.0 x 1019 t x (1×10-4 g/t)=5×1015 g

The total mass of Rhodium: 5.0 x 1019 t x (1×10-4 g/t)=5×1015 g