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Multiple Choice
What mass (in g) of carbon is in a sample of acetone (CH3COCH3) that contains 6.02 x 10^23 atoms of hydrogen?
A
24 g
B
12 g
C
48 g
D
36 g
Verified step by step guidance
1
Determine the number of hydrogen atoms in one molecule of acetone (CH3COCH3). Acetone has 6 hydrogen atoms.
Use Avogadro's number to find the number of acetone molecules in the sample. Since there are 6.02 x 10^23 hydrogen atoms, divide this number by 6 to find the number of acetone molecules.
Calculate the number of moles of acetone using the number of molecules obtained in the previous step and Avogadro's number (6.022 x 10^23 molecules/mol).
Determine the molar mass of carbon in acetone. Acetone has 3 carbon atoms, and the atomic mass of carbon is approximately 12 g/mol, so the total mass of carbon per mole of acetone is 3 x 12 g/mol.
Multiply the number of moles of acetone by the mass of carbon per mole to find the total mass of carbon in the sample.