Answer:
Therefore, the length of copper wire in meters = 8321.01 m
Explanation:
Mass of covellite = 5.01 lb
Note: 1 lb = 453.592 g, therefore mass of covellite in grams = 5.01 * 453.592 = 2272.496 g
Mass copper in the covellite = 66% * 2272.496 = 1499.847 g of copper
Volume of copper in 1499.847 g of copper is obtained using the formula; volume = mass/ density
volume of copper = 1499.847 g/ 8.95 gcm⁻³ = 167.58 cm³
since the wire is considered to be a cylinder, the length of the wire is same as the height of a cylinder
Using the formula, V = πr²h
h = V/πr²
radius of wire, r = diameter/2
diameter = 6.304 * 10⁻³ in.
1 inch = 2.54 cm, therefore radius of wire = (6.304 * 10⁻³ in * 2.54 cm)/(2 * 1 in) = 8.00608 * 10⁻³ cm
h = 167.58 cm³/ {3.142 * (8.00608 * 10⁻³ cm)²}
h = 832101.211 cm
1 cm = 0.01 m
Therefore, the length of copper wire in meters = 832101.211 * 0.01 m = 8321.01 m
