Answer:
![\boxed {\boxed {\sf 0.5043 \ mol \ P}}](https://img.qammunity.org/2022/formulas/chemistry/high-school/78b0h3xusyu6de2lwtvq45i0glf8m6bfgm.png)
Step-by-step explanation:
To convert from moles to grams, we must use the molar mass. This is found on the Periodic Table. Look for Phosphorous or P.
- Phosphorus (P): 30.973762 g/mol
We can use this number as a ratio.
![(30.973762 \ g \ P )/(1 \ mol \ P)](https://img.qammunity.org/2022/formulas/chemistry/high-school/wfl9npyy27nuslg9bscoadsgz2p4thomr0.png)
Multiply by the given number of grams: 15.62
![15.62 \ g \ P *(30.973762 \ g \ P )/(1 \ mol \ P)](https://img.qammunity.org/2022/formulas/chemistry/high-school/6de2ryszcrkubbmrz0nkey89vd2cljzm2g.png)
Flip the fraction so the grams of phosphorus cancel.
![15.62 \ g \ P *(1 \ mol \ P)/(30.973762 \ g \ P )](https://img.qammunity.org/2022/formulas/chemistry/high-school/kndq4ko6yd2ii3idci1md4tarp1ic2wytk.png)
![15.62 *(1 \ mol \ P)/(30.973762 )](https://img.qammunity.org/2022/formulas/chemistry/high-school/l7zxa2e3827qdwe7zasxm2h2y94ids20wg.png)
![(15.62 \ mol \ P)/(30.973762 )](https://img.qammunity.org/2022/formulas/chemistry/high-school/i08d2lprfcv05ydwr7rtjri8xoyaffbvsp.png)
Divide.
![0.504297799 \ mol \ P](https://img.qammunity.org/2022/formulas/chemistry/high-school/s2tge9h27a3htolc3rz1xn6q2ae7n1tmwy.png)
The original measurement of grams has 4 significant figures, so our answer must have the same.
For the number we calculated, that is the ten thousandth place. The 9 in the hundredth thousandth place tells us to round the 2 to a 3.
![0.5043 \ mol \ P](https://img.qammunity.org/2022/formulas/chemistry/high-school/ezfq4kd91pn1nyszmsmdjhv3ow9krapwad.png)
There are 0.5043 moles of phosphorus in 15.62 grams.