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Numerade Educator



Problem 50 Medium Difficulty

Acetaminophen (below) is a popular nonaspirin pain reliever. What is the mass $\%$ of each element in acetaminophen?


percentage $(\mathrm{N})=9,27$ percent
percentage $(\mathrm{O})=21,18$ percent
percentage $(\mathrm{C})=63,54$ percent
percentage $(\mathrm{H})=5,96$ percent


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Video Transcript

given a structural formula, you could describe his composition in terms of the mass of each element in the overall compound. We can start by writing the molecular formula by counting up the number of different elements present in this element. You can see that there's carbon and hydrogen and nitrogen an oxygen. There are 12345678 carbons, nine hydrogen ins, one nitrogen and to oxygen's to find the percent by mass of each element. We do this by looking at the mass of the element in one mole of the compound, divided by the mass of one mole of the compound. Because it's a percent, we multiply by 100. So to find the mass of one wall of the compound or the molar mass, we use the periodic table and the atomic math of each element and add them up. So for carbon, there are eight carbons in one mole times. The Moeller massive carbon, which is 12.11 grams plus nine hydrogen ins times the molar mass of hydrogen, which is 1.8 gram plus one nitrogen, which is 14.7 grams plus two oxygen's or two times 15.999 grams. So one more of this compound has a total mass of 135.66 grams. If we look at the percent of carbon, it's equal to the amount of carbon, which was eight times 12.11 divided by the total 1 35.166 times 100 equal 71 0.1%. Similarly, for hydrogen, there are nine hydrogen ins. The molar mass of 1.8 divided by the total more math, or 6.7%. Nitrogen is 14.7 divided by 135.166 And finally, for the two, oxygen are percent. Oxygen is too times 15.999 divided by 100 and 35.166 times 100 or 11.8%