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How to calculate the number of oxygen atoms in CaCO₃ with dimensional analysis?

a) Use Avogadro's number to convert moles to atoms.
b) Multiply the molar mass of CaCO₃ by the number of moles.
c) Divide the given mass by the molar mass to get moles.
d) Both a and c.

User DimyG
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1 Answer

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Final answer:

To calculate the number of oxygen atoms in CaCO₃ using dimensional analysis, you need to use Avogadro's number to convert moles to atoms of oxygen and divide the given mass of CaCO₃ by the molar mass to get moles of CaCO₃.

Step-by-step explanation:

The correct answer is d) Both a and c.

To calculate the number of oxygen atoms in CaCO₃ using dimensional analysis, you need to use Avogadro's number to convert moles to atoms of oxygen and divide the given mass of CaCO₃ by the molar mass to get moles of CaCO₃.

Example:

If you have 2 moles of CaCO₃, you can use Avogadro's number (6.022 × 10²³ atoms/mol) to convert moles to atoms:

2 mol CaCO₃ x (6.022 × 10²³ atoms/mol) = 1.204 × 10²⁴ atoms of CaCO₃

Then, you can calculate the number of oxygen atoms by multiplying the number of moles of CaCO₃ by the number of oxygen atoms per mole of CaCO₃:

2 mol CaCO₃ x (3 mol O/1 mol CaCO₃) = 6 mol O

Finally, use Avogadro's number to convert moles of oxygen to atoms:

6 mol O x (6.022 × 10²³ atoms/mol) = 3.6132 × 10²⁴ atoms of oxygen

User Sidharth Anil
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