Question

how many atoms of oxygen are there in a 2 moles of oxygen molecules?\
options:\
\\(12 \times 10^{23}\\)\
\\(2.404 \times 10^{24}\\)\
\\(6 \times 10^{23}\\)\
\\(4.808 \times 10^{24}\\)

Explanation:

Step1: Recall Avogadro's number

Avogadro's number $N_A = 6.022 \times 10^{23} \approx 6 \times 10^{23}$ (simplified for this problem), which is the number of particles per mole.

Step2: Calculate atoms in 2 mol O atoms

Number of atoms = moles $\times N_A$
$\text{Atoms} = 2 \times 6 \times 10^{23} = 12 \times 10^{23}$

Step3: Calculate atoms in 2 mol O₂ molecules

Each $\text{O}_2$ has 2 O atoms. Total atoms = moles $\times N_A \times 2$
$\text{Atoms} = 2 \times 6 \times 10^{23} \times 2 = 24 \times 10^{23}$
(Note: The last option in the image appears to be $12 \times 10^{23}$ and $24 \times 10^{23}$, which matches this calculation.)

Answer:

$12 \times 10^{23}$ and $24 \times 10^{23}$ (corresponding to the last option in the provided choices)