Calculate a length of copper wire having a diameter of 0.200 cm and a mass of 15.620 g.The density of copper is 8.92 g/cm3.The volume of wire equals πd2 L/4,and π = 3.14,d = diameter,and L = length)

Question

Quizplus · Accepted Answer

First, we need to find the volume of the copper wire using the formula given:

Volume = πd^2L/4

Substituting the values:

Volume = π(0.200 cm)^2L/4 
Volume = 0.0314 cm^3L

Since we know the density of copper, we can use the formula:

Density = Mass/Volume

Substituting the values:

8.92 g/cm^3 = 15.620 g/0.0314 cm^3L 
L = 55.8 cm

Therefore, the length of the copper wire is 55.8 cm.

Calculate a Length of Copper Wire Having a Diameter of 0.200