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In order to determine the mass of one molecule of ##CO_2## the process involves using mole and mass conversion factors to convert from molecules to grams by way of moles.
molecule ##->## mole ##->## grams
the conversion factors include:
##6.02 x 10^23## molecules = 1 mole (this is Avogadro’s number)
and
1 mole = gram mass of the molecule
The gram mass of of carbon dioxide ##CO_2## can be determined by combining the mass of one carbon atom and 2 oxygen atoms.
C = 1 x 12.01 = 12.01
O = 2 x 15.99 = 31.98
12.01 + 31.98 = 43.99 grams
The conversion is completed as follows:
1 mol ##CO_2## x ##( (1 mols) / (6.02 x 10^23 mol))## x ##((43.99 g)/(1 mols))## =
Molecules cancel with molecules and moles cancel with moles
the outcome is the mass in grams.
##7.31 x 10^(-23)## grams of ##CO_2##
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