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Problem 105 Hard Difficulty

Using the average atomic masses given in Table 8.1 , calculate the number of atoms present in each of the following samples.
a. $160,000$ amu of oxygen
b. 8139.81 amu of nitrogen
c. $13,490$ amu of aluminum
d. 5040 amu of hydrogen
e. $367,495.15$ amu of sodium

Answer

A.10000
B.581
C.500
D.5000
E.15985

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Top Chemistry 101 Educators
Stephanie C.

University of Central Florida

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Karli S.

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Brown University

Video Transcript

here. We have the following elements, and we're going to find how many atoms are in a particular mass given in atomic mass minutes. So here we were, give then 160 atomic mass units of oxygen. I just elemental oxygen, no oxygen gas. And we were told that it weighs and 16. So we're told that one oxygen atom weighs 16 atomic mass units, and we're to find how many atoms of oxygen are in 1,600,000 atomic mass units. So I'm one of Adam, 16 times messy. It's so it seems on Lee, you know, Roger hope that we divide this quantity by the amount that is in that weighs that one. Adam waits to see how many atoms air here because we know one Adam is 16 trying to find harmony. Addicts are in six years belt. So I am use cancel well and your left with no unis, but 10,000. So therefore, there are 10,000 oxygen atoms present in that 1,600,000. Okay, Next we have nitrogen. Here, we have, um, 81 1000. Just check. Oh, no. Here we have 8000 139 0.81 atomic mass units of a particular elemental nitrogen source. And we were told that one nitrogen Adam weighs 14 point No. One I am use. Let's remind ourselves, atomic mass unit, as the name denotes is the units four times best selling product table and also basically equivalent to Gramps promote as the way we define molar mass. So if we just make this division, we get 581. So these are the number of Adam's present in that atomic mass. Um, quantity here. Okay, let's keep this going now. Live in them. They were giving us 13,000 490 atomic mass units. This is the mass of aluminum aluminum company. Just aluminum, pure elemental aluminum and V, um, atomic mass image of just one animal of aluminum that was give them 26.98 Just this number at the denominator is also the mullahs Max of this element basic clean to in. After this division, we get 500 so that we have 500 aluminum atoms in bat mouse. It's hard. You hear it? Two more. Now we have hydrogen. Generally this quick, it's just delusion. 5000 400 0 sorry, 5000 and 14 AM use total. So that's the mass, the whole mass of. But this sample and we know one Adam of Hydrogen Wednesday at 1.8 in use. This is basically 5000 you. She's basically 5000 Adams. Lastly, sodium. Your we got 3000 364 100,000 495 0.1 fives. I am use of a particular elemental sodium sample and then looking at the broad table or whichever source that they gave the textbook. We know that the mass for one atom, the molar mass of sodium or atomic mass, I am used 22 point my life, and this is equivalent to 15,000 basically all right.

McMaster University
Top Chemistry 101 Educators
Stephanie C.

University of Central Florida

Lizabeth T.

Numerade Educator

KS
Karli S.

Numerade Educator

JH
Jacquelin H.

Brown University