Calculate the book value of gold in the iron meteorite Lutetia (Scienc

1.	Calculate the book value of gold in the iron meteorite Lutetia (Science Brief 13.7.1) based on the following information: Diameter = 115 km, density = 7.90 g/cm , concentration of gold = 3 0.6 µg/g (ppm), price of gold = $12,405 per kg (Kargel, 1994).
Answer» Volume of Lutetita (V): V = (4 x π x r³)/3 = (4 x 3.14 x (57.5)³)/3 = 0.7959 x 10⁶km³ V = 0.7959 × 10⁶ × 10¹⁵ = 0.7959 × 10²¹cm³ Mass of Lutetia (M): M = Volume × Density M = 0. 7959 × 10²¹ 7.90 = 6.2876 × 10²¹g Mass of gold in Lutetia (Au): Au = Mass × Concentration Au = 6.2876 × 10²¹ × 0.6 = 3.77 × 10²¹µg Au = (3.77 x 10²¹)/10⁶ = 3.77 x 10¹⁵g = 3.77 x 10¹²kg Value of the gold ($): $ = 3.77 × 10¹² × 12,405 = 4.67 × 10¹⁶ Value of the gold = $4.67 × 10¹⁶ US

Calculate the book value of gold in the iron meteorite Lutetia (Science Brief 13.7.1) based on the following information: Diameter = 115 km, density = 7.90 g/cm , concentration of gold = 3 0.6 µg/g (ppm), price of gold = $12,405 per kg (Kargel, 1994).

Answer»

Volume of Lutetita (V):

V = (4 x π x r³)/3 = (4 x 3.14 x (57.5)³)/3 = 0.7959 x 10⁶km³

V = 0.7959 × 10⁶ × 10¹⁵ = 0.7959 × 10²¹cm³

Mass of Lutetia (M):

M = Volume × Density

M = 0. 7959 × 10²¹ 7.90 = 6.2876 × 10²¹g

Mass of gold in Lutetia (Au):

Au = Mass × Concentration

Au = 6.2876 × 10²¹ × 0.6 = 3.77 × 10²¹µg

Au = (3.77 x 10²¹)/10⁶ = 3.77 x 10¹⁵g = 3.77 x 10¹²kg

Value of the gold ($):

$ = 3.77 × 10¹² × 12,405 = 4.67 × 10¹⁶

Value of the gold = $4.67 × 10¹⁶ US