Answer:
![\boxed {\boxed {\sf 11.5 \ mol \ K}}](https://img.qammunity.org/2022/formulas/chemistry/high-school/kmbebxfzfy3sx2770mh09fxnwon2w7k8bh.png)
Step-by-step explanation:
We are asked to find how many moles of potassium are in 449 grams of potassium.
We will convert grams to moles using the molar mass. This is the mass of 1 mole of a substance. These values are found on the Periodic Table because they are the same as the atomic masses, but the units are grams per mole (g/mol) instead of atomic mass units (amu).
Look up potassium's molar mass.
We will convert using dimensional analysis, so we set up a ratio using the molar mass.
![\frac { 39.0983 \ g \ K }{ 1 \ mol \ K}](https://img.qammunity.org/2022/formulas/chemistry/high-school/2ap8kl7fykr51u67cgq8w0g8br2w7ieh3h.png)
We are converting 449 grams of potassium to moles, so we multiply by this value.
![449 \ g \ K *\frac { 39.0983 \ g \ K }{ 1 \ mol \ K}](https://img.qammunity.org/2022/formulas/chemistry/high-school/bia51rjtq509rrkrg3dt98iqahev1liq4c.png)
Flip the ratio. It is still the same value, but the units of grams of potassium cancel.
![449 \ g \ K *\frac {1 \ mol \ K}{ 39.0983 \ g \ K }](https://img.qammunity.org/2022/formulas/chemistry/high-school/eeisfmjn69xi5zw2uk8gfvnrve6lqfgsmq.png)
![449 *\frac {1 \ mol \ K}{ 39.0983}](https://img.qammunity.org/2022/formulas/chemistry/high-school/jowazb9p0b6myqpbm3zb5om7k46pcfhv9z.png)
![\frac {449}{ 39.0983} \ mol \ K](https://img.qammunity.org/2022/formulas/chemistry/high-school/w0sujg71wv5b8byfldr848siddajg2yiz8.png)
![11.48387526 \ mol \ K](https://img.qammunity.org/2022/formulas/chemistry/high-school/r3f8r6spckj82bfmkg5j264y8wxuegb3qt.png)
The original measurement of grams (449) has 3 significant figures, so our answer must have the same. For the number we found, that is the tenths place. The 8 in the hundredth place tells us to round the 4 in the tenths place up to a 5.
![11.5 \ mol \ K](https://img.qammunity.org/2022/formulas/chemistry/high-school/npz9dq5rq5ut0rmmv2e59nmv5gh0rwg4el.png)
449 grams of potassium contains approximately 11.5 moles of potassium