Problem: If the lower pie chart was drawn as the percentage in terms of number of atoms rather than the percentage in terms of mass, would the hydrogen slice of the pie get larger or smaller?

FREE Expert Solution

 Avogadro’s number = 6.022 x 1023 entities

                                      entities = atoms, ions, molecules, particles, formula units


Assuming total mass = 100 g then: % element = mass element


Solving for atoms of each element except others:


atoms H:10 g H×1 mol H 1.01 g H×6.022×1023  H atoms1 mol H

= 6.022 x 1023 H atoms


atoms O:65 g O×1 mol O16.00 g O×6.022×1023 O atoms1 mol O

= 2.44 x 1024 O atoms


atoms O:18 g C×1 mol C12.00 g C×6.022×1023  C atoms1 mol C

= 9.033 x 1023 O atoms


Use formula for each element: 


% atoms =# of atoms of each elementtotal atoms×100


% atom H = ~ 15.3 % > 10%

% atom O = ~ 61.8 %

# atom C = ~ 22.9 % 

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Problem Details

If the lower pie chart was drawn as the percentage in terms of number of atoms rather than the percentage in terms of mass, would the hydrogen slice of the pie get larger or smaller?


Two pie charts show relative abundance of elements in the Earth’s crust and in the human body as percentages by mass. The most abundant element in both is oxygen. The chart for the composition of the Earths crust shows that the crust is 49.5 percent oxygen, 25.7 percent silicon, 9.2 percent other elements, 7.5 percent aluminum, 4.7 percent iron, and 3.4 percent calcium. The chart for the composition of the human body shows that the human body is 65 percent oxygen, 18 percent carbon, 10 percent hydrogen, and 7 percent other elements.


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