Answer:
[tex]\boxed {\boxed {\sf 0.5043 \ mol \ P}}[/tex]
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.
We can use this number as a ratio.
[tex]\frac{30.973762 \ g \ P }{1 \ mol \ P}[/tex]
Multiply by the given number of grams: 15.62
[tex]15.62 \ g \ P *\frac{30.973762 \ g \ P }{1 \ mol \ P}[/tex]
Flip the fraction so the grams of phosphorus cancel.
[tex]15.62 \ g \ P *\frac{1 \ mol \ P}{30.973762 \ g \ P }[/tex]
[tex]15.62 *\frac{1 \ mol \ P}{30.973762 }[/tex]
[tex]\frac{15.62 \ mol \ P}{30.973762 }[/tex]
Divide.
[tex]0.504297799 \ mol \ P[/tex]
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.
[tex]0.5043 \ mol \ P[/tex]
There are 0.5043 moles of phosphorus in 15.62 grams.