Answer:
![\boxed {\boxed {\sf 0.5000 \ mol \ NaCl}}](https://img.qammunity.org/2022/formulas/chemistry/high-school/7yvus102f4p3qd7whuao0hd8d3up7d7fz6.png)
Step-by-step 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://img.qammunity.org/2022/formulas/chemistry/college/ek9v8fr6mxeklcidgex1khh08m8sa3jfix.png)
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://img.qammunity.org/2022/formulas/chemistry/high-school/4ov3fmbo6e1jtajfpuspn78oh6kp5g2tzc.png)
Flip the ratio so the units of grams of NaCl cancel.
![29.22 \ g\ NaCl*\frac { 1 \ mol \ NaCl}{58.4397693 \ g \ NaCl}](https://img.qammunity.org/2022/formulas/chemistry/high-school/q074q9fwep7uuall7d0b0v9dfqnznhl9sx.png)
![29.22*\frac { 1 \ mol \ NaCl}{58.4397693}](https://img.qammunity.org/2022/formulas/chemistry/high-school/jliqk53z78bqp39jak5rz035mkgmg4r1dj.png)
![\frac {29.22}{58.4397693} \ mol \ NaCl](https://img.qammunity.org/2022/formulas/chemistry/high-school/gfsj6n5uc0dbzorh9xi0pebjat9rgxe17r.png)
![0.5000019738 \ mol \ NaCl](https://img.qammunity.org/2022/formulas/chemistry/high-school/y6fvmloz6dhlnbu5ed5vbkbatzqfbz4arf.png)
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://img.qammunity.org/2022/formulas/chemistry/high-school/9ptfeoq0yhw427u4qtsl2uallns4iohdi3.png)
There are approximately 0.5000 moles of sodium chloride in a 29.22 gram sample of sodium chloride.