Gold wire

From one gram of gold was pulled wire 1.4 km length. What is its diameter if the density of Au is ρ=19.5 g/cm3?

Correct answer:

d =  6.83 μm

Step-by-step explanation:

l=1.4 km cm=1.4 1000 100  cm=140000 cm ρ=19.5 g/cm3 m=1 g  m= ρ V  V=m/ρ=1/ρ=3920.0513 cm3  V = π r2   l  r=π lV=3.1416 1400000.05130.0003 cm d1=2 r=2 0.00030.0007 cm  d=d1 10000=0.0007 10000=6.83 μm

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