The molecular formula of morphine, a pain-killing narcotic, is C17H19NO3. a. What is the molar mass? b. What fraction of atoms in morphine is accounted for by carbon?

For a: The molar mass of morphine is 285 g/mol

For b: The fraction of carbon atoms in morphine is 0.425

Explanation:

We are given a chemical substance having chemical formula

Molar mass is the sum of the mass of all the atoms each multiplied its atomic masses that are present in the molecular formula of a compound. It is expressed in g/mol.

We know that:

Atomic mass of carbon = 12 g/mol

Atomic mass of hydrogen = 1 g/mol

Atomic mass of nitrogen = 14 g/mol

Atomic mass of oxygen = 16 g/mol

Molar mass of morphine,

Hence, the molar mass of morphine is 285 g/mol

1 mole of morphine contains 17 moles of carbon, 19 moles of hydrogen, 1 mole of nitrogen and 3 moles of oxygen

Total moles of atoms = [17 + 19 + 1 + 3] = 40 moles

1 mole of a compound contains number of particles

To calculate the fraction of carbon atoms in morphine, we use the equation:

Number of carbon atoms =

Total number of atoms =

Putting values in above equation, we get:

Hence, the fraction of carbon atoms in morphine is 0.425

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