   Chapter 1, Problem 60RGQ

Chapter
Section
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,

Calculate the volume of copper:_Known: Mass = 57 kg, density = 8.96 g/cm3Volume =Massdensity= 57 × 103 g8.96 g/cm3= 6.36 cm3=6.36 ×106 m3Calculate the length of copper wire:_Given: Diameter =9.50 mm = 9.5×103 m Known: Volume of wire = πr2lWhereas,6

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