The Law of Definite Proportions: A given chemical compound will always contain the same elements in the same proportions, by mass This means that CO 2 (whether in solid or gas) always has the same % C and % O by mass
How could we calculate this? Mass percent of C in CO 2 = M of C x 100% M of CO 2 Mass percent of C in CO 2 = 12.01g/mol C x100% g/mol CO 2 Mass percent of C in CO 2 = %
Now what about O in CO 2 ? Mass percent of O in CO 2 = 2 x M of O x 100% M of CO 2 Mass percent of O in CO 2 = 2(16.00 g/mol) x 100% g/mol Mass percent of O in CO 2 =72.71% Add them together – what do you get??
Is it possible to find a different compound made of C and O where the % composition is different? Yes! CO!!
Percentage Composition The percentage composition of a compound refers to the relative mass of each element in the compound. Percentage composition can be determined experimentally, and then be used to help identify the compound.
m X 100% m tot M X 100% M tot
Example: Determine the percent composition of sodium carbonate. Given: Na 2 CO 3 M Na = 2 X 22.99g/mol = g/mol M C = 1 X g/mol M O = 3 X g/mol = g/mol M Na 2 CO 3 = g/mol g/mol g/mol = g/mol The percent composition of Na 2 CO 3 is 43.38% Na, 11.33% C and 45.29% O % O = M O X 100% M Na2CO3 = g/mol X 100% g/mol = 45.29% % C = M C X 100% M Na2CO3 = g/mol X 100% g/mol = 11.33% % Na = M Na X 100% M Na2CO3 = g/mol X 100% g/mol = 43.38%
Otherwise, it is possible to calculate the percent composition using raw mass data obtained in the lab
Example: The results of an experiment reveal that 2.5 g of hydrogen gas reacted completely to produce 22.5 g of water. What is the percent composition by mass of water? Given: m H = 2.5 g m H2O = 22.5 g m O = 22.5g g = 20.0 g % H = m H X 100% m H2O = 2.5 g X 100% 22.5 g = 11% % O = m O X 100% m H2O = 20.0 g X 100% 22.5 g = 88.9% The percent composition of H 2 O is 11% H and 89 % O
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