Concept explainers
Interpretation:
Whether 10.0 g of C or 10.0 g of Ca contains more atoms should be determined. The
Concept introduction:
The number of moles of a compound is defined as the ratio of the given mass of the compound to the molar or molecular mass of the compound.
The mathematical expression is given by:
Number of moles = given mass of the compoundmolar mass of the compound
The one mole of any substance is equal to the

Answer to Problem 117A
The number of atoms of 10.0 g of carbon is greater the number of atoms of 10.0 g of calcium.
Number of atoms of C = 5.014×1023 atoms
Number of atoms of Ca = 1.50×1023 atoms
Explanation of Solution
Mass of carbon = 10.0 g
Mass of calcium = 10.0 g
Molar mass of carbon = 12.0107 g/mole
Molar mass of calcium = 40.078 g/mole
Number of moles of carbon = 10.0 g12.0107 g/mole
Number of moles of C = 0.8326 mole
Since one mole of any substance is equal to the Avogadro number, i.e., 6.022×1023 atoms.
Number of moles = number of atoms ×1 mole6.022×10 23atoms
Put the values,
0.8326 mole = Number of atoms ×1 mole6.022×10 23atoms
Number of atoms =0.8326 mole×6.022×1023 atomsmole
Number of atoms of C = 5.014×1023 atoms
Number of moles of Ca = 10.0 g40.078 g/mole
Number of moles of Ca = 0.2495 mole
Put the values,
0.2495 mole = Number of atoms ×1 mole6.022×10 23atoms
Number of atoms =0.2495 mole×6.022×1023 atomsmole
Number of atoms of Ca = 1.50×1023 atoms
The number of atoms of 10.0 g of carbon is greater than the number of atoms of 10.0 g of calcium.
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