Molar Mass to Carats Conversion Steps:

• Identify 6.02 × 10^{23} carbon atoms as 1 mole.
• Compute mass of 1 mole of carbon: 12.0 g.
• Convert grams to carats using 0.200 g per carat: divide total mass by mass per carat.
• Resulting expression: 12.0 / 0.200. Why B is correct:
• Divides molar mass (12.0 g/mol) by mass per carat (0.200 g/carat) to yield carats per mole, per the definition of molar mass. Why the others are wrong:
• A: Multiplies mass per carat by molar mass, yielding an incorrect product without ratio.
• C: Inverts the division, giving carats per gram of molar mass instead.
• D: Multiplies by Avogadro's number, inflating the result by 6.02 × 10^{23} without dividing by it first. Final answer: B