Question

Imagine you have a spool of 10 AWG copper wire that weighs 585 g. 10 AWG wire has a diameter of 0.1019 inches and copper has a density of 8.96 g/cm3. Determine the length of the wire (cm).

Answer 1

Answer on Question #57253 - Chemistry - General Chemistry

Question:

Imagine you have a spool of 10 AWG copper wire that weighs 585 g. 10 AWG wire has a diameter of 0.1019 inches and copper has a density of 8.96 g/cm3. Determine the length of the wire (cm).

Solution:

$$\begin{array}{l} V = \frac{585\,\text{g}}{8.96\,\text{g/cm}^3} = 65.30\,\text{cm}^3 \\ S_{\text{section}} = \pi r^2 = 3.14 * 0.26\,\text{cm} * 0.26\,\text{cm} = 0.21\,\text{cm}^2 \\ l = \frac{S}{V} = \frac{65.30\,\text{cm}^3}{0.21\,\text{cm}^2} = 310.95\,\text{cm} \\ \end{array}$$

Answer: 310.95cm

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