How to convert atoms to grams?
Understand the Problem
The question is asking how to perform a conversion from the number of atoms to grams, which involves understanding atomic mass and using Avogadro's number.
Answer
To convert atoms to grams: identify atomic mass, use Avogadro's number to find moles, then convert moles to grams using molar mass.
Answer for screen readers
To convert atoms to grams, follow these steps: identify the atomic mass of the element, use Avogadro's number to convert atoms to moles, and then convert moles to grams using the molar mass.
Steps to Solve
- Identify the atomic mass of the element
The atomic mass (also called atomic weight) of an element is typically found on the periodic table and is given in atomic mass units (amu). For example, the atomic mass of Carbon (C) is approximately 12.01 amu.
- Use Avogadro's number to convert atoms to moles
Avogadro's number (approximately $6.022 \times 10^{23}$ atoms/mol) is the number of atoms in one mole of an element. Use the formula:
$$\text{Number of moles} = \frac{\text{Number of atoms}}{6.022 \times 10^{23}}$$
- Convert moles to grams using the molar mass
The molar mass of an element (in grams) is numerically equal to its atomic mass (in amu). Using the number of moles calculated previously, convert to grams:
$$\text{Mass in grams} = \text{Number of moles} \times \text{Atomic mass (g/mol)}$$
To convert atoms to grams, follow these steps: identify the atomic mass of the element, use Avogadro's number to convert atoms to moles, and then convert moles to grams using the molar mass.
More Information
This process is essential in stoichiometry for converting between the atomic scale and macroscopic quantities in chemistry.
Tips
A common mistake is confusing the units for atomic mass (amu) and molar mass (g/mol). Remember that the numerical value is the same, but the units are different.
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