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Multiple Choice
Morphine has the molecular formula C17H19NO3. What is the mass percentage of carbon (C) in morphine? Provide your answer to two decimal places.
A
73.42%
B
60.12%
C
54.68%
D
80.25%
Verified step by step guidance
1
Identify the molecular formula of morphine: C17H19NO3. This means the molecule contains 17 carbon (C) atoms, 19 hydrogen (H) atoms, 1 nitrogen (N) atom, and 3 oxygen (O) atoms.
Find the atomic masses of each element from the periodic table: Carbon (C) = 12.01 g/mol, Hydrogen (H) = 1.008 g/mol, Nitrogen (N) = 14.01 g/mol, Oxygen (O) = 16.00 g/mol.
Calculate the total molar mass of morphine by multiplying the number of atoms of each element by their atomic masses and summing all contributions: 17 × 12.01 + 19 × 1.008 + 1 × 14.01 + 3 × 16.00.
Calculate the total mass of carbon in one mole of morphine by multiplying the number of carbon atoms by the atomic mass of carbon: 17 × 12.01.
Calculate the mass percentage of carbon using the formula: \(\text{Mass \% of C} = \left( \frac{\text{Mass of C}}{\text{Molar mass of morphine}} \right) \times 100\).