Math Problem Statement
How many grams in 5.033x10^24 atoms of Oxygen?
Solution
To find how many grams are in atoms of oxygen, we can follow these steps:
-
Find the molar mass of oxygen:
Oxygen has a molar mass of approximately 16 grams per mole (g/mol). -
Use Avogadro's number:
Avogadro's number is atoms per mole. This tells us how many atoms are in 1 mole of oxygen. -
Convert atoms to moles:
To convert the given number of atoms to moles, divide the number of atoms by Avogadro's number:
-
Convert moles to grams:
Once we know how many moles we have, we can multiply by the molar mass (16 g/mol) to find the mass in grams.
Let's calculate this:
Now, multiply by the molar mass:
Thus, atoms of oxygen weigh approximately 133.76 grams.
Would you like more details or have any questions?
Here are 5 related questions for further understanding:
- How would the mass change for a different number of atoms?
- What is the role of Avogadro's number in these calculations?
- How do you convert from grams to atoms of a substance?
- Why is the molar mass of oxygen 16 g/mol?
- How does the concept of moles help in chemistry?
Tip: Always make sure to use the correct molar mass depending on the element's molecular form, like O for molecular oxygen.
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Math Problem Analysis
Mathematical Concepts
Stoichiometry
Molar Mass
Atoms to Moles Conversion
Formulas
Moles of oxygen = Atoms / Avogadro's number
Mass of oxygen = Moles of oxygen * Molar mass
Theorems
Avogadro's Number
Suitable Grade Level
Grades 10-12
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