A length of #8 copper wire (radius = 1.63 mm) has a mass of 24.0 Kg and a resistance of 2.061 Ohm per Km. What is the over all resistance of the wire?

Question

Chemistry

Joanna Flores

25 October, 00:06

A length of #8 copper wire (radius = 1.63 mm) has a mass of 24.0 Kg and a resistance of 2.061 Ohm per Km. What is the over all resistance of the wire?

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Answers (1)

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Harriet · Answer 1

V = m / ρ

V = (23,200/8.96) * 1000

V = 2,589,285.71 mm³

Now we have volume and given the radius we can solve for its length.

L = V/πr²

L = (2,589,285.71 / (π*1.63²)) / 1*10^6

L = 0.31 km

So

R = rL

R = 2.061 (0.31)

R =.6389 Ω

End.