amu to kg Converter
Convert Atomic Mass Unit to Kilogram
Atomic Mass Unit (amu) to Kilogram (kg) Conversion Table
Here’s a table showcasing a few sample conversions for reference:
| Atomic Mass Unit (amu) | Kilogram (kg) |
|---|---|
| 1 | 1.66054 x 10^-27 |
| 10 | 1.66054 x 10^-26 |
| 100 | 1.66054 x 10^-25 |
| 1,000 | 1.66054 x 10^-24 |
| 10,000 | 1.66054 x 10^-23 |
How to Convert Atomic Mass Unit to Kilogram
There are two main ways to convert Atomic Mass Units (amu) to kilograms (kg):
1. Conversion Formula:
The most common and accurate method is to use the conversion formula:
mass (kg) = amu * 1.66054 x 10^-27
Here’s a breakdown of the formula:
- mass (kg): This represents the mass of the atom or molecule in kilograms after conversion.
- amu: This represents the mass of the atom or molecule in atomic mass units.
- 1.66054 x 10^-27: This is the conversion factor that relates amu to kilograms. It represents the mass of one amu in kilograms.
Steps to Convert Using the Formula:
- Identify the amu value: You’ll need the mass of the atom or molecule in atomic mass units (amu). This information can be found on the periodic table or through chemical reference sources.
- Apply the formula: Multiply the amu value by the conversion factor (1.66054 x 10^-27).
- Evaluate the result: The result will be the mass of the atom or molecule in kilograms (kg).
Example:
Let’s convert the mass of a hydrogen atom (1 amu) to kilograms.
mass (kg) = 1 amu * 1.66054 x 10^-27 kg/amu
mass (kg) = 1.66054 x 10^-27 kg
Therefore, the mass of a hydrogen atom is approximately 1.66054 x 10^-27 kilograms.
2. Scientific Calculator:
Most scientific calculators have a built-in conversion function for units like amu and kg. You can simply input the amu value and select the conversion option for kilograms.
Convert atomic mass unit to kilogram formula
The formula to convert atomic mass units (amu) to kilograms (kg) is:
mass (kg) = amu * 1.66054 x 10^-27
Here’s a breakdown of the formula:
- mass (kg): This represents the mass of the atom or molecule in kilograms after conversion.
- amu: This represents the mass of the atom or molecule in atomic mass units.
- 1.66054 x 10^-27: This is the conversion factor that relates amu to kilograms. It represents the mass of one amu in kilograms.
This conversion factor arises because one amu is defined as 1/12th the mass of a carbon-12 isotope atom at rest. By definition, the mass of a carbon-12 isotope atom is exactly 12 amu. Scientists have very precisely measured the mass of a carbon-12 isotope atom in kilograms, which is approximately 1.9926 x 10^-23 kg.
Therefore, to convert from amu to kg, we can set up a proportion:
amu / 1 = mass (kg) / (1.9926 x 10^-23 kg)
Simplifying this proportion gives us the conversion factor:
mass (kg) = amu * (1.9926 x 10^-23 kg) / 1 amu
The Avogadro constant (represented by Na) relates the number of atoms/molecules in a mole to the mass of one mole of that substance. The value of Avogadro’s constant is approximately 6.022 x 10^23 atoms/molecule per mole. We can rewrite the conversion factor using Avogadro’s constant:
mass (kg) = amu * (1.9926 x 10^-23 kg) / 1 amu x (1 mole / 6.022 x 10^23 atoms/molecule)
Since 1 mole of any substance contains the same number of atoms/molecules (Avogadro’s constant), the term “(1 mole / 6.022 x 10^23 atoms/molecule)” cancels out, leaving us with the final conversion factor:
mass (kg) = amu * (1.9926 x 10^-23 kg / 6.022 x 10^23 atoms/molecule)
Evaluating this expression gives us the commonly used conversion factor:
mass (kg) = amu * 1.66054 x 10^-27