Answer:
![\boxed {\boxed {\sf About \ 2.7 *10^(24)\ atoms\ N }}](https://img.qammunity.org/2022/formulas/chemistry/college/8nxgm5kh93pbnwodh66kl0xgfm0tw3zeeu.png)
Step-by-step explanation:
To convert from moles to atoms, Avogadro's Number: 6.022*10²³ must be used. This number tells us the amount of particles (atoms, molecules, etc) in 1 mole of a substance. In this case, the particles are atoms of nitrogen.
![\frac {6.022 *10^(23) \ atoms \ N}{1 \ mol \ N}](https://img.qammunity.org/2022/formulas/chemistry/college/3g5pl51h82d8zrf6jlgs63wpybobnw1d9q.png)
Multiply by the given number of moles: 4.5
![4.5 \ mol \ N *\frac {6.022 *10^(23) \ atoms \ N}{1 \ mol \ N}](https://img.qammunity.org/2022/formulas/chemistry/college/ys1emrwzude3zp2jp0fhwqf7rmu51llap2.png)
The moles of nitrogen will cancel.
![4.5 \ *\frac {6.022 *10^(23) \ atoms \ N}{1 }](https://img.qammunity.org/2022/formulas/chemistry/college/gkyfuimuy61uimnhxk3p9radt8mu733s8l.png)
The denominator of 1 can be ignored.
![4.5 \ *{6.022 *10^(23) \ atoms \ N}](https://img.qammunity.org/2022/formulas/chemistry/college/vjggueo1ppmvuxcry74qz6uhlfpot4wv4h.png)
![2.7099*10^(24) \ atoms \ N](https://img.qammunity.org/2022/formulas/chemistry/college/dvczlop9r6yqx3xz338p80xkqp1sth87h6.png)
The original measurement of moles had 2 significant figures, so our answer must have the same. For the number we calculated, that is the tenth place. The 0 in the hundredth place tells us to leave the 7.
![2.7 *10^(24)\ atoms\ N](https://img.qammunity.org/2022/formulas/chemistry/college/lora2e36ste2ble6z28x6ekgqap3q2y3nv.png)
There are about 2.7*10²⁴ atoms of nitrogen in 4.5 moles.