A hydrogen atom has a diameter of about
10.1 nm.
Express this diameter in meters, millimeters, and micrometers.
10.1 nm =0.0000000101=1.01•10⁻⁸ m=
=1.01•10⁻ ⁵mm=1.01•10⁻ ²µm
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To express the diameter of a hydrogen atom in different units, we can convert it using the following conversion factors:
1 meter (m) = 1,000 millimeters (mm)
1 meter (m) = 1,000,000 micrometers (µm)
First, let's convert the diameter from nanometers (nm) to meters (m):
Diameter in meters (m) = Diameter in nanometers (nm) / 1,000,000,000
Diameter in meters (m) = 10.1 nm / 1,000,000,000
Diameter in meters (m) = 0.0000000101 m
Next, let's convert the diameter from meters (m) to millimeters (mm):
Diameter in millimeters (mm) = Diameter in meters (m) × 1,000
Diameter in millimeters (mm) = 0.0000000101 m × 1,000
Diameter in millimeters (mm) = 0.0000101 mm
Finally, let's convert the diameter from meters (m) to micrometers (µm):
Diameter in micrometers (µm) = Diameter in meters (m) × 1,000,000
Diameter in micrometers (µm) = 0.0000000101 m × 1,000,000
Diameter in micrometers (µm) = 0.0101 µm
Therefore, the diameter of a hydrogen atom is approximately:
- 0.0000000101 meters (m)
- 0.0000101 millimeters (mm)
- 0.0101 micrometers (µm)
To express the diameter of a hydrogen atom in different units, we need to convert nanometers (nm) to meters (m), millimeters (mm), and micrometers (μm).
Here's how to do it:
1. Converting from nanometers to meters:
To convert from nanometers to meters, we divide by 1 billion (since there are 1 billion nanometers in a meter).
10.1 nm ÷ 1,000,000,000 = 0.0000000101 m
Therefore, the diameter of a hydrogen atom is approximately 0.0000000101 meters.
2. Converting from nanometers to millimeters:
To convert from nanometers to millimeters, we divide by 1 million (since there are 1 million nanometers in a millimeter).
10.1 nm ÷ 1,000,000 = 0.0000101 mm
Therefore, the diameter of a hydrogen atom is approximately 0.0000101 millimeters.
3. Converting from nanometers to micrometers:
To convert from nanometers to micrometers, we divide by 1000 (since there are 1000 nanometers in a micrometer).
10.1 nm ÷ 1000 = 0.0101 μm
Therefore, the diameter of a hydrogen atom is approximately 0.0101 micrometers.
To summarize:
- Diameter in meters: 0.0000000101 m
- Diameter in millimeters: 0.0000101 mm
- Diameter in micrometers: 0.0101 μm