Question

question 6 (10 points) how many atoms are in 0.500 g of magnesium (mg) a 1.24×10²² b 2.47×10²² c 1.24×10²¹ d 2.47×10²³

Explanation:

Step1: Calculate moles of Mg

Molar mass of Mg = $24.305\ \text{g/mol}$.
$\text{Moles of Mg} = \frac{\text{Mass}}{\text{Molar Mass}} = \frac{0.500\ \text{g}}{24.305\ \text{g/mol}} \approx 0.02057\ \text{mol}$

Step2: Calculate number of atoms

Use Avogadro's number $N_A = 6.022\times10^{23}\ \text{atoms/mol}$.
$\text{Number of atoms} = \text{Moles} \times N_A = 0.02057\ \text{mol} \times 6.022\times10^{23}\ \text{atoms/mol} \approx 2.47\times10^{22}\ \text{atoms}$

Answer:

b. $2.47\times10^{22}$