How long should you cut a piece of wire to obtain 0.0141 moles of copper?

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SUMMARY

To obtain 0.0141 moles of copper from a wire with a diameter of 0.389 mm, one must first calculate the mass of copper required, which is 0.889 grams based on the molar mass of copper (63.55 g/mol). Given the density of copper at 8.92 g/cc, the volume of copper needed is approximately 0.0997 cc. Using the formula for the volume of a cylinder, the length of the wire can be determined to be approximately 0.034 meters or 3.4 cm.

PREREQUISITES
  • Copper density (8.92 g/cc)
  • Molar mass of copper (63.55 g/mol)
  • Volume calculation for cylinders
  • Basic unit conversions (mm to meters, cc to grams)
NEXT STEPS
  • Learn how to calculate the volume of a cylinder using the formula V = πr²h
  • Study the concept of moles and molar mass in chemistry
  • Explore unit conversions between metric units (mm, m, cc, g)
  • Understand the properties of metals, specifically copper, including density and conductivity
USEFUL FOR

Students in chemistry, physics, or engineering fields, as well as hobbyists working with copper wiring and those interested in material properties and calculations.

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I'm having problems with this question.

A piece of copper wire has a diameter of 0.389mm. If copper has a density of 8.92g/cc, how long (in meters) should you cut a piece of wire to obtain 0.0141 moles of copper?

I tried finding the volume of the cylinder and other things, but I'm completely lost!

can someone help me??
 
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Try a simpler problem to start. What is the volume of a copper wire that has a diameter of 0.389mm and a length of 1m? What would be the mass of this wire?

Second, what is the mass of 0.0141mol of copper?
 

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