Answer:
![\boxed {\boxed {\sf 0.5000 \ mol \ NaCl}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%200.5000%20%5C%20mol%20%5C%20NaCl%7D%7D)
Explanation:
We are asked to convert grams to moles. We must use the molar mass or the grams in 1 mole of a substance. These values are found on the Periodic Table as the atomic mass, but the units are grams per mole (g/mol) instead of atomic mass units (amu).
We are given the compound sodium chloride or NaCl. Look up the molar masses of the individual elements.
- Na: 22.9897693 g/mol
- Cl: 35.45 g/mol
The formula for the compound does not contain any subscripts, so there is 1 mole of each element in 1 mole of the compound. Add the molar masses together to find sodium chloride's molar mass.
- NaCl: 22.9897693 + 35.45= 58.4397693 g/mol
Now we can use the molar mass to create a ratio. We know there are 58.4397693 grams of NaCl in 1 mole of NaCl.
![\frac {58.4397693 \ g \ NaCl}{ 1 \ mol \ NaCl}](https://tex.z-dn.net/?f=%5Cfrac%20%7B58.4397693%20%20%5C%20g%20%5C%20NaCl%7D%7B%201%20%5C%20mol%20%5C%20NaCl%7D)
Multiply by the number of grams provided in the problem: 29.22
![29.22 \ g\ NaCl*\frac {58.4397693 \ g \ NaCl}{ 1 \ mol \ NaCl}](https://tex.z-dn.net/?f=29.22%20%5C%20g%5C%20NaCl%2A%5Cfrac%20%7B58.4397693%20%20%5C%20g%20%5C%20NaCl%7D%7B%201%20%5C%20mol%20%5C%20NaCl%7D)
Flip the ratio so the units of grams of NaCl cancel.
![29.22 \ g\ NaCl*\frac { 1 \ mol \ NaCl}{58.4397693 \ g \ NaCl}](https://tex.z-dn.net/?f=29.22%20%5C%20g%5C%20NaCl%2A%5Cfrac%20%7B%201%20%5C%20mol%20%5C%20NaCl%7D%7B58.4397693%20%20%5C%20g%20%5C%20NaCl%7D)
![29.22*\frac { 1 \ mol \ NaCl}{58.4397693}](https://tex.z-dn.net/?f=29.22%2A%5Cfrac%20%7B%201%20%5C%20mol%20%5C%20NaCl%7D%7B58.4397693%7D)
![\frac {29.22}{58.4397693} \ mol \ NaCl](https://tex.z-dn.net/?f=%5Cfrac%20%7B29.22%7D%7B58.4397693%7D%20%20%5C%20mol%20%5C%20NaCl)
![0.5000019738 \ mol \ NaCl](https://tex.z-dn.net/?f=0.5000019738%20%5C%20mol%20%5C%20NaCl)
The original measurement of grams has 4 significant figures, so our answer must have the same. For our answer, that is the ten-thousandth place. The 0 to the right of this place (0.5000019738) tells us to leave the 0 in the ten-thousandth place.
![0.5000 \ mol \ NaCl](https://tex.z-dn.net/?f=0.5000%20%5C%20mol%20%5C%20NaCl)
There are approximately <u>0.5000 moles of sodium chloride in a 29.22 gram sample of sodium chloride.</u>