Question

# Dioptase is a mineral that contains 45.3% of copper. How many meter of wire with diameter...

Dioptase is a mineral that contains 45.3% of copper. How many meter of wire with diameter of 0.0571 in can be produced from 3.54 lb of dioptase?
Vcylinder = π*r2h, density of copper is 8.96 g/cm3, 1 lb=454 g

3.54 Ib = 454*3.54

= 1607.16 grams

mass of copper = 45.3 % of dioptase

= 45.3 * 1607.16 /100

= 728.04 grams

suppose length of wire = l

diameter = 0.0571 in = 0.145 cm

r = d/2

= 0.145 / 2

= 0.0725 cm

volume of copper wire = 22/7 * r^2 * l

mass of wire = volume * density

= 22/7 * r^2 * l * 8.96

this is equal to 728.04 grams

22/7 * (0.0725)^2 * l * 8.96 = 728.04

l = 4918.657 cm

or 49.19 m

if satisfied please rate it thanks

#### Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
• ### Malachite is a mineral that contains 57.7% of copper. How many meter of wire with diameter...

Malachite is a mineral that contains 57.7% of copper. How many meter of wire with diameter of 0.0179 in can be produced from 6.48 lb of malachite? Vcylinder = π*r2h, density of copper is 8.96 g/cm3, 1 lb=454 g 190 m 7.54 × 105 m 2.97 × 103 m 1.17 × 103 m 292 m

• ### Arquerite is a mineral that contains 87.0% of silver. How many meter of wire with diameter...

Arquerite is a mineral that contains 87.0% of silver. How many meter of wire with diameter of 0.0320 in can be produced from 2.36 lb of arquerite? Vcylinder = π*r2h, density of silver is 10.49 g/cm3, 1 lb=454 g

• ### Copper can be drawn into thin wires. How many meters of 34- gauge wire (d-6. 304x10-3...

Copper can be drawn into thin wires. How many meters of 34- gauge wire (d-6. 304x10-3 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 - tr2h, copper density 8.65 g/cm3).

• ### Electrical AWG 20 copper wire has a cross section diameter of 0.803 mm. Find the linear...

Electrical AWG 20 copper wire has a cross section diameter of 0.803 mm. Find the linear mass density of the wire (the mass per unit of length), the copper volume mass density is 8.96 g/cm3. The linear mass density of the wire, λ = Unit in g/cm What is the mass of a 7‑m segment of AWG 20 wire? The mass of the segment, m =  Unit in g A wire spool is marked to have 18 kg of AWG 20...

• ### 8. Two long straight copper wires of diameter d = 0.2 mm are parallel to each...

8. Two long straight copper wires of diameter d = 0.2 mm are parallel to each other, one above the other, at a distance of 1 mm (measured center to center). The mass density of copper is 8.96 g/cm3. a) Compute the weight of a wire, per meter. b) If you run a current / through both wires you could, in principle, suspend the lower wire, i.e. make the magnitude of the magnetic force on it equal to its weight....

• ### Enter your answer in the provided box. Copper can be drawn into thin wires. How many...

Enter your answer in the provided box. Copper can be drawn into thin wires. How many meters of 34-gauge wire (diameter = 6.304 × 10-3 in) can be produced from the copper in 7.00 lb of covellite, an ore of copper that is 66.0% copper by mass? (Hint: Treat the wire as a cylinder: Vof cylinder = ar'h; d of copper = 8.95 g/em³).

• ### A pure copper cube has an edge length of 1.30 cm . Part A How many...

A pure copper cube has an edge length of 1.30 cm . Part A How many copper atoms does it contain? (volume of a cube = (edge length)3; density of copper = 8.96 g/cm3) N=   Cu atoms

• ### 1. A copper wire is 26.61 cm long and weighs 1.265 g. The density of copper...

1. A copper wire is 26.61 cm long and weighs 1.265 g. The density of copper is 8.933 g/cm3. A. What is the radius of the wire in millimeters? B. What is the diameter of the wire? 2. An empty beaker weighs 22.47 g. When completely filled with water, the beaker and its contents have a total mass of 437.15 g. What volume does the beaker hold? Use ?=1.00 g/mL as the density of water. How much would the beaker...

• ### Electrical AWG 24 copper wire has a cross section diameter of 0.508 mm. Find the linear...

Electrical AWG 24 copper wire has a cross section diameter of 0.508 mm. Find the linear mass density of the wire (the mass per unit of length), the copper volume mass density is 8.96 g/cm? The linear mass density of the wire, 1 - Units Select an answer What is the mass of a 6-m segment of AWG 24 wire? The mass of the segment, m Units Select an answer A wire spool is marked to have 13 kg of...

• ### Transverse pulses travel with a speed of 180 m/s along a taut copper wire whose diameter...

Transverse pulses travel with a speed of 180 m/s along a taut copper wire whose diameter is 1.60 mm. What is the tension in the wire? (The density of copper is 8.92 g/cm3.)