Question

question 5 (5 points)
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how many atoms are in 1.22 moles of magnesium?
a) 2.04&times10-24 atoms
b) 6.022x1023 atoms
c) 1.22x1023 atoms
d) 7.35x1023 atoms

Explanation:

Step1: Recall Avogadro's number

Avogadro's number is \( 6.022 \times 10^{23} \) atoms per mole. This means that 1 mole of any substance contains \( 6.022 \times 10^{23} \) particles (in this case, atoms of magnesium).

Step2: Calculate the number of atoms

To find the number of atoms in 1.22 moles of magnesium, we use the formula: Number of atoms = Moles × Avogadro's number.
So, we multiply 1.22 moles by \( 6.022 \times 10^{23} \) atoms/mole.

$$ 1.22 \, \text{moles} \times 6.022 \times 10^{23} \, \text{atoms/mole} = (1.22 \times 6.022) \times 10^{23} $$

Calculating \( 1.22 \times 6.022 \approx 7.35 \)
So, the number of atoms is approximately \( 7.35 \times 10^{23} \) atoms.

Answer:

D) \( 7.35 \times 10^{23} \) atoms