Chapter 1, Problem 60RGQ

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# Copper: Copper has a density of 8.96 g/cm3 An ingot of copper with a mass of 57 kg (126 lb) is drawn into wire with a diameter of 9.50 mm. What length of wire (in meters) can be produced? [Volume of wire = (π)(radius)2(length)]

Interpretation Introduction

Interpretation: The length of the wire produced has to be calculated.

Concept Introduction:

Density: Is a characteristic property of a substance. The density of a substance is the relationship between the mass of the substance and how much space it takes up (volume).

Density = MassVolume

Explanation

The length of the wire is calculated as,

â€‚Â CalculateÂ theÂ volumeÂ ofÂ copper:_Known:Â MassÂ =Â 57Â kg,Â densityÂ =Â 8.96Â g/cm3VolumeÂ =Massdensity=Â 57Â Ã—Â 103Â g8.96Â g/cm3=Â 6.36Â cm3=6.36Â Ã—10âˆ’6Â m3CalculateÂ theÂ lengthÂ ofÂ copperÂ wire:_Given:Â â€‰DiameterÂ =â€‰9.50Â mmÂ =Â 9.5Ã—10âˆ’3Â mÂ Known:Â VolumeÂ ofÂ wireÂ =Â Ï€r2lWhereas,6

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