Question

how to convert grams to moles and to use the mole to find the number of atoms in a sample.The mole (abbreviated mol) is a counting unit used to simplify calculations that would otherwise involve very large numbers. The mole is equivalent to the number of carbon atoms in exactly 12 g of isotopically pure 12C, or 6.02×1023. This number is known as Avogadro's number in honor of Amedeo Avogadro. Avogadro's number can be used as a conversion factor between moles and atoms as shown here: 6.02×1023 atoms1 mole of atoms The molar mass of a substance is the mass of one mole of a substance and is written in units of grams per mole. The molar mass of an atom is equivalent to its atomic mass whereas the molar mass of a substance is equivalent to its formula weight. How many moles of atoms are in 8.00 g of 13-C?

Answer 1

To convert grams to moles, divide the mass of the substance by its molar mass. For 8.00 g of 13-C, this is approximately 0.615 moles. The number of atoms can then be calculated by multiplying this number by Avogadro's number, resulting in about 3.7 × 1023 atoms.

Step-by-step explanation:

Converting grams to moles is relatively straightforward if you know the molar mass of the atom or compound in question. In this case, 13-C (carbon-13) has a molar mass of approximately 13 g/mol.

To convert grams to moles, you divide the mass of the substance by its molar mass. So, 8.00 g of 13-C divided by 13 g/mol gives you approximately 0.615 moles.

To find the number of atoms in a mole, we employ Avogadro's number (6.02 × 1023 atoms/mol) as a conversion factor. Multiplying 0.615 moles by Avogadro's number, the result is approximately 3.7 × 1023 atoms.

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