Nanotubes are rolled up cylinders of graphite with diameters of about 1nanometer, and lengths in micrometers.

(I) If a nanotube is 5 micrometers long, how many diameters does this represent?

1m = 1000 mm (millimeter)

1 mm = 1000 μm (micrometer)
1 μ = 1000 nm (nanometer)

If the tube is 1 nm in diameter, then
veryify that
5 μm = 5*1000 nm = 5000 nm
= how many diameters?

* 1 μm = 1000 nm (nanometer)

Is it 5 diameters?

If the tube is 1 nm in diameter, then

veryify that
5 μm = 5*1000 nm = 5000 nm
= how many diameters?

To find out how many diameters are present in a 5-micrometer long nanotube, we need to determine the number of times the diameter fits into the length of the nanotube.

First, let's convert the nanotube length from micrometers to nanometers since the diameter is given in nanometers. Since 1 micrometer (μm) is equal to 1000 nanometers (nm), we can multiply 5 μm by 1000 to obtain the length in nanometers:

5 μm * 1000 nm/μm = 5000 nm

Now that we have the length in nanometers, we can divide it by the diameter of the nanotube, which is 1 nanometer, to find out how many diameters fit into the given length:

5000 nm / 1 nm = 5000

Therefore, a 5-micrometer long nanotube represents 5000 diameters.