Copper can be drawn into thin wires. how many meters of 34-gauge wire (diameter = 6.304 x 10^-3 in.) can be produced from the copper in 6.95 lb of covellite, an ore of copper is 66.0% copper by mass? (hint: treat the wire as a cylinder: v for cylinder = (pi)(r^2)(h); d of copper = 8.95 g/cm^3)

11,547.67 meters of copper can be drawn.

Explanation:

Mass of mineral = 6.95 lb = 6.95 × 453.592 = 3,152.46 g

1 lbs = 453.592 g

An ore of copper is 66.0% copper by mass, So mas of copper in  3,152.46 grams of ore= m

Volume of copper = V

Density of copper = d =

Diameter of the wire drawn from the of copper= d

d =

(1 inch= 2.54 cm)

Radius of the wire= r = 0.5 ×  d =0.5 × 0.01601 =0.008005 cm

Length of the wire = h

Volume of the cylindrical wire =

Solving for h :

h =1,154,767.015 cm

1 cm = 0.01 m

h = 1,154,767.015 cm = 1,154,767.015× 0.01 m = 11,547.67 m

11,547.67 meters of copper can be drawn.