Copper can be drawn into thin wires. How many meters of 34-gauge wire (diameter = 6.304 × 10ିଷ in ) can be produced from the copper in 5.01 lb of covellite, an ore of copper that is 66% copper by mass? (Hint: Treat the wire as a cylinder: V = πrଶh and d = 8.95 g cmଷ ⁄ )

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

hurricanes form when warm, moist air from the ocean surface quickly rises into the atmosphere and forms storm clouds and rain. when the clouds are formed, heat is released which warms the cool air in the upper regions of the atmosphere so that the cycle can continue. which two phases of the water cycle are repeated in this process?