Question

1 mole
(6.02 × 10²³ mg atoms)
24.31 grams mg
1 mole
1 mole
24.31 grams mg
1 mole
none of the conversion factors listed above are correct.

Explanation:

To determine the correct conversion factor for magnesium (Mg), we recall:

• Molar mass of Mg is \( 24.31 \, \text{g/mol} \), meaning \( 1 \, \text{mole Mg} = 24.31 \, \text{grams Mg} \).
• Avogadro’s number (\( 6.02 \times 10^{23} \)) relates moles to atoms, but the question focuses on mass - mole conversion.

Analyzing the options:

• First option: \( \frac{1 \, \text{mole}}{(6.02 \times 10^{23} \, \text{Mg atoms})} \) is for mole - to - atoms (or vice versa), not mass - mole.
• Second option: \( \frac{24.31 \, \text{grams Mg}}{1 \, \text{mole}} \) correctly represents the molar mass (mass per mole).
• Third option: \( \frac{1 \, \text{mole}}{24.31 \, \text{grams Mg}} \) inverts the molar mass relationship (incorrect for mass - mole conversion direction implied here).
• “None of the above” is incorrect as the second option is valid.

Answer:

The correct option is the second one: \(\boldsymbol{\frac{24.31 \text{ grams Mg}}{1 \text{ mole}}}\) (the option with \( \frac{24.31 \text{ grams Mg}}{1 \text{ mole}} \) as its conversion factor).