Final answer:
To determine the mass of each element in a 55.0-gram sample of nicotine, multiply the given percentage composition by the total sample mass: 40.7 g of carbon, 4.73 g of hydrogen, and 9.52 g of nitrogen can be recovered.
Step-by-step explanation:
The student asked how to find the mass of each element (carbon, hydrogen, and nitrogen) in a 55.0-gram sample of nicotine, given its percent composition. To find the masses, we multiply the percentage of each element by the total mass of the nicotine sample.
Mass of carbon = 74.0% of 55.0 g = 0.740 × 55.0 g = 40.7 g
Mass of hydrogen = 8.6% of 55.0 g = 0.086 × 55.0 g = 4.73 g
Mass of nitrogen = 17.3% of 55.0 g = 0.173 × 55.0 g = 9.52 g
Therefore, from a 55.0-gram sample of nicotine, 40.7 grams of carbon, 4.73 grams of hydrogen, and 9.52 grams of nitrogen can be recovered.