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Calcium carbonate has the chemical formula CaCO3. A certain quantity of calcium carbonate has 8.35x1025 atoms. How many moles of calcium carbonate is the sample?

User SoCo
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1 Answer

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Answer

27.7 moles

Step-by-step explanation:

Data Given:

Chemical formula of Calcium carbonate = CaCO₃

no. of atoms of CaCO₃ = 8.35 x 10²⁵ atoms

moles of CaCO₃= ?

Solution

First convert number of atoms to number of molecules

As

we have 5 atoms per molecule then how many molecules will be for 8.35 x 10²⁵ atoms

So, apply unity formula

5 atoms ≅ 1 molecule of CaCO₃

8.35 x 10²⁵ atoms ≅ X molecule of CaCO₃

by doing cross multiplication

X molecule of CaCO₃ = 8.35 x 10²⁵ atoms x 1 molecule / 5 atoms

X molecule of CaCO₃ = 1.67 x 10²⁵ molecule

Formula will be used

no. of moles = no. of molecules / Avogadro's number . . . . (1)

Where

Avogadro's number = 6.022 x 10²³ molecules/mol

So,

Put values in equation 1

no. of mole = 1.67 x 10²⁵/ 6.022 x 10²³ (molecules/mol)

no. of mole = 27.7 moles

So,

moles of CaCO₃ = 27.7 moles

User Laury
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