Question

An iron wire (density = 7.87 g/cm³) has a diameter of 0.25 mm. If a sample

of this iron wire has a mass of 25 g, how long is this wire?Calculate the length of an iron wire (density = 7.87 g/cm³) with a diameter of 0.25 mm and a mass of 25 g.

a)159.24 cm
b)101.27 cm
c)50.63 cm
d)201.48 cm

Answer 1

The length of the iron wire with a diameter of 0.25 mm and a mass of 25 g is approximately 50.63 cm.

Step-by-step explanation:

To calculate the length of an iron wire given its density, diameter, and mass, we can use the formula:

Density = Mass / Volume

First, we need to calculate the volume of the wire using its diameter:

Volume = π * (Diameter / 2)^2 * Length

Next, we rearrange the formula to solve for the length of the wire:

Length = Mass / (Density * π * (Diameter / 2)^2)

Plugging in the given values:

Length = 25 g / (7.87 g/cm³ * π * (0.25 mm / 2)^2)

Converting the diameter to cm and solving the equation:

Length ≈ 50.63 cm