Question

1. challenge: calculate the number of oxygen atoms in 5.00 mol of oxygen molecules. oxygen is a diatomic molecule! (0.5 points) *

1.51 x 10²⁴ atoms
4.56 x 10²¹ atoms
6.022 x 10²⁴ atoms
3.01 x 10²⁴ atoms

Explanation:

Step1: Recall Avogadro's number

Avogadro's number is \( 6.022 \times 10^{23} \) particles per mole. For a diatomic molecule like \( O_2 \), each molecule has 2 oxygen atoms.

Step2: Calculate moles of oxygen atoms

Given 5.00 mol of \( O_2 \) molecules. Since each \( O_2 \) has 2 O atoms, moles of O atoms = \( 5.00 \, \text{mol} \times 2 = 10.00 \, \text{mol} \)? Wait, no, wait: Wait, no, first, moles of \( O_2 \) is 5.00 mol. Each \( O_2 \) has 2 O atoms, so moles of O atoms = \( 5.00 \, \text{mol} \times 2 = 10.00 \, \text{mol} \)? No, wait, no, actually, the number of \( O_2 \) molecules is \( n(O_2) \times N_A \), then each \( O_2 \) has 2 O atoms, so number of O atoms is \( 2 \times n(O_2) \times N_A \). Let's do that.

\( n(O_2) = 5.00 \, \text{mol} \)

Number of \( O_2 \) molecules: \( N(O_2) = n(O_2) \times N_A = 5.00 \, \text{mol} \times 6.022 \times 10^{23} \, \text{molecules/mol} \)

Each \( O_2 \) has 2 O atoms, so number of O atoms: \( N(O) = 2 \times N(O_2) = 2 \times 5.00 \, \text{mol} \times 6.022 \times 10^{23} \, \text{atoms/mol} \)

Calculate that: \( 2 \times 5.00 \times 6.022 \times 10^{23} = 10.00 \times 6.022 \times 10^{23} = 6.022 \times 10^{24} \)? Wait, no, wait 5.00 2 = 10.00, 10.00 6.022e23 = 6.022e24? Wait, but let's check the options. Wait, maybe I made a mistake. Wait, 5.00 mol of O2: each O2 has 2 O atoms, so moles of O atoms is 5.00 2 = 10.00 mol? No, no, moles of O2 is 5.00, so moles of O atoms is 5.00 2 = 10.00 mol? Then number of O atoms is 10.00 mol * 6.022e23 atoms/mol = 6.022e24 atoms. Wait, but let's check the options. One of the options is 6.022 x 10^24 atoms. Wait, but let's re-calculate:

Wait, 5.00 mol of O2. Number of O2 molecules: 5.00 mol 6.022e23 molecules/mol = 3.011e24 molecules. Each O2 has 2 O atoms, so number of O atoms: 3.011e24 2 = 6.022e24 atoms. Yes, that's correct. So the answer is 6.022 x 10^24 atoms.

Answer:

6.022 x 10²⁴ atoms (the option with this value)