# What is the molar mass of C_17H_19NO_3? What fraction of atoms in morphine is accounted for by carbon?

Sep 5, 2016

The molar mass of morphine is $285.34$ $g \cdot m o {l}^{-} 1$. It contains 72% carbon content by mass.

#### Explanation:

Given a formula of ${C}_{17} {H}_{19} N {O}_{3}$, the percentage by mass of carbon is:

$=$ $\text{Mass of carbon"/"Molar mass of morphine}$

$=$ (17xx12.01*g*mol^-1)/(285.34*g*mol^-1)xx100% $=$ 72%

Because this is one of the most powerful pain-killing drugs known, some 500,000 kg of morphine is produced annually by poppy farming.